Magnetic coil parallel connection type push-pull nonlinear offset moving magnetic coil single-acting oscillator and application thereof

Abstract

According to the magnetic coil parallel connection type push-pull nonlinear offset moving magnetic coil single-acting vibrator, a moving magnetic coil single-acting vibrator body comprises an outer cylinder, a vibration transmission piece, a stator assembly and a rotor assembly, the stator assembly comprises an iron core combined structure, the rotor assembly comprises a magnet coil combined structure, the stator assembly is fixed to the inner side of the outer cylinder, the vibration transmission piece is fixed to the bottom face of the outer cylinder, and the magnet coil combined structure is fixed to the bottom face of the outer cylinder. The mover assembly is fixedly connected with the vibration transmission sheet through at least one site, and the mover assembly is called a moving part; seen from the center to the outside, a permanent magnet in the magnet and coil combined structure is arranged inside, a coil is arranged outside, electromagnetic acting force F1, i and F2 and i on the rotor assembly are opposite in acting force direction in the vibration direction, and therefore resultant force Sigma iF1 and i and resultant force Sigma iF2 and i are opposite in acting force direction in the vibration direction, and push-pull type design is formed through combination of push-pull force. The total resultant force is partially or completely counteracted aiming at nonlinear terms of the current, linear terms are mutually superposed and are increased, and the stiffness coefficient k2 of the vibration transmission sheet is a function of m1, m2 and omega r.

Description

Technical Field

[0001] This invention relates to the field of oscillator technology, specifically to a single-moving oscillator with parallel magnetic coils and push-pull nonlinear cancellation, and its applications. Background Technology

[0002] Bone conduction headphones often employ moving magnet, moving coil, or balanced armature designs for their vibrators and haptic feedback actuators. These designs limit the mass of the vibrator component. Furthermore, the resonant frequency of the vibrator is inversely proportional to half a power of the vibrator component's mass. Therefore, combining the magnet and coil components as the vibrator increases its mass, resulting in a lower resonant frequency (f0) and ultimately, better low-frequency response.

[0003] Furthermore, existing oscillator and actuator designs using moving magnets, moving coils, or moving irons often exhibit high nonlinear terms due to inherent limitations in the magnet and coil combination design. This means that the electromagnetic force or acceleration experienced by the mover assembly exhibits significant distortion at low or high frequencies, known as total harmonic distortion (THD). Please refer to the appendix for details. Figure 20 The figure shows the distortion curves of a current-designed moving coil assembly or oscillator. It can be seen that the distortion reaches 55% near 35Hz and 65% around 5kHz-6kHz. Such high distortion indicates that in the low-frequency range, the distortion of the audio signal or haptic feedback signal leads to a significant discrepancy between the perceived sound quality and the actual haptic feedback. Generally, distortion greater than 10% is unacceptable from the standards of audio and haptic feedback. The design of the moving coil oscillator also needs to overcome or reduce this non-linear distortion.

[0004] Furthermore, no one has yet conducted a systematic study on the oscillator using the moving magnetic coil method, revealing the relationship between the stiffness coefficient of the transducer and the target resonant frequency, the magnet assembly, and the coil assembly, so as to provide theoretical guidance on how to design and improve the transducer, magnet assembly, and coil assembly to achieve a certain target resonant frequency. Summary of the Invention

[0005] One of the objectives of this invention is to provide a moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation.

[0006] Another object of the present invention is to provide an application of the above-mentioned parallel magnetic coil push-pull nonlinear cancellation moving magnetic coil single moving oscillator.

[0007] The technical solution of this invention is: a parallel-type push-pull nonlinear cancelling moving magnetic coil single-moving oscillator, comprising a moving magnetic coil single-moving oscillator body, the moving magnetic coil single-moving oscillator body comprising an outer cylinder, a transmission plate, a stator assembly, and a mover assembly, the stator assembly comprising an iron core assembly structure, the mover assembly comprising a magnet coil assembly structure, the stator assembly being fixed inside the outer cylinder, the transmission plate being fixed on the bottom surface of the outer cylinder, and the mover assembly being fixedly connected to the transmission plate through at least one point, the mover assembly being referred to as the moving component; viewed from the center outwards, the permanent magnet in the magnet coil assembly structure is inside, the coil is outside, and the electromagnetic force F on the mover assembly is... 1，i and F 2，i The forces acting along the direction of vibration are opposite in direction, therefore their resultant forces ∑ i F 1，i and the combined force ∑ i F 2，i The forces acting along the direction of vibration are also opposite in direction. This combination of pushing and pulling forces forms a push-pull design, and in the final resultant force ∑ i (F 1，i +F 2，i In the above, the total resultant force partially or completely cancels out the nonlinear terms of the current, while the linear terms are superimposed and increase. The stiffness coefficient k2 of the vibration transducer is m1, m2, ω. r The function, i.e., k2 = f(m1, m2, ω r ), where m1=m shell +m 铁芯组合结构 m2=m 磁铁线圈组合结构 ω r This is the system's target resonant frequency.

[0008] This invention provides an improved version of the parallel-type push-pull nonlinear cancellation moving magnetic coil single-moving oscillator and its application, which, compared with the prior art, has the following improvements and advantages:

[0009] 1. This invention proposes a method to reduce the nonlinear term of the driving force on the moving magnet coil assembly or the acceleration of the moving element assembly on the oscillator coil current by means of a paired or unpaired design, so that the nonlinear term can be completely or partially canceled out in the final resultant force, thereby greatly reducing the distortion of the oscillator and improving the fidelity of the oscillator for the original audio signal or tactile feedback signal.

[0010] 2. The nonlinear term cancellation of the single-moving magnet coil of the present invention reduces the total harmonic distortion (THD) in the low-frequency range from the original peak value of 55% to below 15% and the THD in the high-frequency range from the original peak value of 65% to below 5%. The reduction in the distortion curve is equivalent to a reduction in the target resonant frequency of the oscillator system, thereby improving the sound quality in the low and mid-frequency ranges. In addition, it can also be equivalent to an increase in the sensitivity of the oscillator system and a reduction in power consumption.

[0011] 3. The moving magnetic coil oscillator design method of the present invention results in a oscillator with uniform and balanced force, realizing the oscillator to generate overall translational vibration, and achieving the best vibration effect.

[0012] 4. Because it reveals the relationship between the spring constant k2 and the target resonant frequency ω r And the functional relationship between m1 and m2, using the target resonant frequency, to design the stiffness coefficient of the transmission plate in reverse, that is, assumed to be ω. r By modifying the material and thickness of the vibration transducer, as well as the length and width of the vibration transmission limbs, the final stiffness coefficient value can be made close to the calculated k2. Attached Figure Description

[0013] The present invention will be further explained below with reference to the accompanying drawings and embodiments:

[0014] Figure 1 This is a cross-sectional view of Embodiment 2 of the present invention;

[0015] Figure 2 This is a magnetic domain analysis diagram of Embodiment 2 of the present invention;

[0016] Figure 3 This is the closed magnetic field curve of the coil and permanent magnet in Embodiment 2 of the present invention;

[0017] Figure 4 This is a schematic diagram of the oscillator composed of the mover assembly and the vibration plate in Embodiment 2 of the present invention;

[0018] Figure 5 This is a force analysis diagram of the moving part assembly in Embodiment 2 of the present invention;

[0019] Figure 6 This is a force analysis diagram of the stator assembly in Embodiment 2 of the present invention;

[0020] Figure 7 This is a cross-sectional view of Embodiment 3 of the present invention;

[0021] Figure 8 This is a magnetic domain analysis diagram of Embodiment 2 of the present invention;

[0022] Figure 9 This is the closed magnetic field curve of the coil and permanent magnet in Embodiment 3 of the present invention;

[0023] Figure 10 This is a schematic diagram of the oscillator composed of the mover assembly and the vibration plate in Embodiment 3 of the present invention;

[0024] Figure 11 This is a force analysis diagram of the moving part assembly in Embodiment 3 of the present invention;

[0025] Figure 12 This is a force analysis diagram of the stator assembly in Embodiment 3 of the present invention;

[0026] Figure 13 This is a cross-sectional view of Embodiment 3 of the present invention;

[0027] Figure 14 This is a magnetic domain analysis diagram of Embodiment 2 of the present invention;

[0028] Figure 15 This is the closed magnetic field curve of the coil and permanent magnet in Embodiment 3 of the present invention;

[0029] Figure 16 This is a schematic diagram of the oscillator composed of the mover assembly and the vibration plate in Embodiment 3 of the present invention;

[0030] Figure 17 This is a force analysis diagram of the moving part assembly in Embodiment 3 of the present invention;

[0031] Figure 18 This is a force analysis diagram of the stator assembly in Embodiment 3 of the present invention;

[0032] Figure 19 This is a cross-sectional view of Embodiment 4 of the present invention;

[0033] Figure 20 This is a total harmonic distortion (THD) test chart for existing moving magnet coil oscillators;

[0034] Figure 21 A schematic diagram of a single-sided (single-transmission oscillator) model;

[0035] Figure 22 A schematic diagram of the force analysis of a single-sided (single-transmission oscillator) model;

[0036] Figure 23 This is the frequency response curve of a single-sided (single-transmission oscillator). Detailed Implementation

[0037] The present invention will now be described in detail, and the technical solutions in the embodiments of the present invention will be clearly and completely described. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0038] Parallel magnetic coils: When viewed along the direction of the oscillator's vibration, the arrangement of the permanent magnet and the coil is parallel to the direction of the oscillator's vibration, and when viewed from the center outwards, the permanent magnet is inside and the coil is outside, which is the parallel magnetic coil type.

[0039] For the design of nonlinear term cancellation, there are 2N magnetic domains inside the oscillator. The magnetic domains are paired and defined as magnetic domain D. 1,i and D 2,i Where i = 1, 2, 3, ..., N. The closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively pass through the magnetic field domain D. 1,i and D 2,i A magnetic field is a spatial region filled with electromagnetic energy, generally composed of air or a medium with low magnetic permeability (e.g., relative permeability <1000), including the region where the magnetic material is located; and within the magnetic field D... 1,i In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2,i In the coil, the direction of the magnetic field lines is opposite to that of the permanent magnet. Or in the magnetic domain D... 1,i In the coil, the direction of the magnetic field lines is opposite to that of the permanent magnet, while in the magnetic domain D... 2,i In this case, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

[0040] When the magnetic field lines of a coil passing through a magnetic field are in the same direction as the magnetic field lines of a permanent magnet, the total magnetic flux is equal to the sum of the magnetic flux produced by the coil and the magnetic flux produced by the permanent magnet. When the magnetic field lines of a coil passing through a magnetic field are in the same direction as the magnetic field lines of a permanent magnet, the total magnetic flux is equal to the difference between the magnetic flux produced by the coil and the magnetic flux produced by the permanent magnet.

[0041] Magnetic Domain: The nonlinear term cancellation of the single-moving oscillator of the moving magnetic coil in this invention includes at least one magnetic domain. A magnetic domain refers to a spatial region where one or more electromagnetic fields exist, causing interaction forces between components surrounding the magnetic domain. We define this region as a magnetic domain, or simply a magnetic field. A magnetic domain is the spatial region where magnetic interactions occur. It is generally composed of the spatial region between permanent magnets (generating attractive or repulsive interactions), or the spatial region enclosed by a permanent magnet and a magnetic conductor (generating attractive interactions), or the spatial region enclosed by magnetic conductors (yokes) magnetized by the permanent magnet, or the spatial region within the permanent magnet (the permeability of the hard magnetic material constituting the permanent magnet is close to that of air) where magnetic interactions occur.

[0042] In general, there are two types of magnetic force domains. The first type is the magnetic force domain enclosed by the interior of the mover assembly or the stator assembly; the second type is the magnetic force domain enclosed between the mover assembly and the stator assembly. Therefore, by analyzing the second type of magnetic force domain, we can obtain the force analysis of the mover assembly, thereby obtaining the resultant force of the mover assembly in the oscillator system, and further derive its vibration equation.

[0043] Example 1

[0044] Please refer to Figure 1-23 A parallel-coil push-pull nonlinear cancelling moving magnetic coil single-moving oscillator includes a moving magnetic coil single-moving oscillator body 11. The moving magnetic coil single-moving oscillator body 11 includes an outer cylinder 1, a transmission plate 3, a stator assembly 4, and a mover assembly 5. The stator assembly 4 includes an iron core assembly structure, and the mover assembly 5 includes a magnet coil assembly structure. The stator assembly 4 is fixed inside the outer cylinder 1, and the transmission plate 3 is fixed to the bottom surface of the outer cylinder 1. The mover assembly 5 is fixedly connected to the transmission plate 3 through at least one point. The mover assembly 5 is referred to as the moving component. Looking outward from the center, the permanent magnet in the magnet coil assembly structure is inside, and the coil is outside. The electromagnetic force F exerted on the mover assembly... 1,i and F 2,i The forces acting along the direction of vibration are opposite in direction, therefore their resultant forces ∑ i F 1,i and the combined force ∑ i F 2,i The forces acting along the direction of vibration are also opposite in direction. This combination of pushing and pulling forces forms a push-pull design, and in the final resultant force ∑ i (F 1,i +F 2,i In the above, the total resultant force partially or completely cancels out the nonlinear terms of the current, while the linear terms are superimposed and increase. The stiffness coefficient k2 of the vibration transducer is m1, m2, ω. r The function, i.e., k2=f(m1,m2,ω r ), where m1=m shell +m 铁芯组合结构 m2=m 磁铁线圈组合结构 ω r This is the system's target resonant frequency.

[0045] Please see the appendix Figure 22-23 Taking a single-sided (single-transmission vibrator) oscillator as an example, a single-sided (single-transmission vibrator) oscillator has only one vibrator on one side along the Z-axis. Assume the spring connects to the mover assembly. The spring and mover assembly together constitute a vibrating subsystem. The mover assembly is connected to the outer cylinder of the oscillator via the spring-transmission vibrator.

[0046] Assume the mass of the rotator assembly is mr, and the mass of the stator assembly is m. s The spring constant of the spring connected to the moving part assembly is k. s Additionally, assume the mass of the oscillator's outer shell is m. shell =m 外筒sleeve +m 弹簧片spring For the sake of simplicity in formula derivation, we define m² = m r =m 磁铁线圈组合结构 Furthermore, since the stator is fixed to the outer cylinder, m1 is defined as m shell +m r =m shell +m 铁芯组合结构 .

[0047] For simplicity, assume the damping of the spring is very small, close to zero. Assume the electromagnetic forces between the mover assembly (coil) and the stator assembly (magnet) interact, and the forces acting on the mover assembly and stator assembly are F and F, respectively. r and F s According to Newton's third law, Fr = -Fs.

[0048] A single-acting oscillator system consists of a single-acting oscillator and a single resonant frequency. The system has only one resonant frequency, and its frequency response curve is as follows: Figure 23 As shown.

[0049] f resonant Abbreviation f r , is the resonant frequency of the frequency response curve. Frequency f low It is the low-frequency cutoff frequency of the frequency response curve, f. high This is the high-frequency cutoff frequency of the frequency response curve. As can be seen from the graph of the frequency response curve, the resonant frequency f... resonant and f low It is relatively closer. Therefore, in practical systems, the resonant frequency f is optimized through design. resonant To adjust f low .

[0050] Modeling and solving of vibration systems with a single moving oscillator:

[0051] Based on the system modeling above, the dynamic equations of the single-moving oscillator itself can be obtained as follows:

[0052]

[0053] in:

[0054]

[0055]

[0056]

[0057] make Where f r It is the electromagnetic interaction force between the moving and stating elements.

[0058] Based on the vibration equation of a single-acting oscillator, its resonant frequency equation can be solved as follows:

[0059] m1m2ω 2 -(m1+m2)k2=0

[0060] Solving for the given information

[0061]

[0062] When the target resonant frequency is known to be ω r =2πf r So, what stiffness coefficient k2 should be selected for the vibrating element 3 to achieve the target resonant frequency?

[0063] The above formula can be used to design the stiffness coefficient of the vibrating element 3 in reverse, based on the target resonant frequency, i.e., assuming the target resonant frequency is ω. r Then the stiffness coefficient of the vibration transducer 3 can be obtained as:

[0064]

[0065] Once the mass of the stator and the mover is determined, the material, thickness, length, and width of the vibration transmission plate 3 are modified to make the final stiffness coefficient value close to the calculated k2, thereby guiding the design of the vibration transmission plate 3.

[0066] If the stiffness coefficient of the resonant plate is fixed, the target resonant frequency can be achieved by modifying the mass or mass distribution of the stator and mover. In this case, the mass of the stator and mover needs to satisfy the following formula.

[0067]

[0068] The number of permanent magnets 51 and coils 52 in the magnet-coil assembly structure is limited, with the number of permanent magnets 51 being N. 磁 The number of coils 52 is N. 圈 , making N 磁 >N 圈 Or N 磁 <N 圈 N 磁 For 1, 2, 3, ..., 100; N 圈 The range is 1, 2, 3, ..., 100; the moving magnetic coil single-moving oscillator body 11 has 2N magnetic domains D arranged in pairs inside. 1,i and D 2,iN is 1, 2, 3, ..., 100, i = 1, 2, 3, ...; The moving component 5 is subjected to the interaction of thrust and tension, which causes the linear terms in the component forces of the moving component 5 to be superimposed and increase, while the nonlinear terms in the component forces of the moving component 5 are partially or completely canceled out and decrease.

[0069] When the first magnetic conductor is used in the magnet coil assembly structure, the magnetic resistance is low, resulting in better vibration performance. Conversely, when the first non-magnetic conductor is used, the magnetic resistance is high, leading to weaker vibration performance, but it can still be applied in some scenarios. Similarly, when the iron core assembly structure uses the second magnetic conductor, the magnetic resistance is low, resulting in better vibration performance. Conversely, when the second non-magnetic conductor is used, the magnetic resistance is high, leading to weaker vibration performance, but it can still be applied in some scenarios.

[0070] The vibration plate 3 can be rectangular, circular, racetrack-shaped or three-dimensional depending on the application scenario, and can be used in combination according to different application scenarios; the vibration plate 3 is usually fixed on the top surface, bottom surface or middle of the outer cylinder 11.

[0071] The stator assembly 4 is fixed inside the outer cylinder 11, and can be on the inner wall, top surface or bottom surface of the outer cylinder 11;

[0072] The moving part 5 and the vibration plate 3 are fixedly connected through at least one point, which includes point contact and surface contact. There can be one point, two points, or multiple points.

[0073] The closed curves of the main magnetic field lines of the coil 52 and the closed curves of the main magnetic field lines of the permanent magnet 51 respectively cross the magnetic domain D. 1,i and D 2,i And in the magnetic domain D 1,i In the magnetic field, the direction of the magnetic field lines of the coil 52 is the same as that of the permanent magnet 51, while in the magnetic domain D... 2,i In the magnetic field, the direction of the magnetic field lines of the coil 52 is opposite to the direction of the magnetic field lines of the permanent magnet 51; or in the magnetic field domain D 1,i In the magnetic field, the direction of the magnetic field lines of the coil 52 is opposite to that of the permanent magnet 51, while in the magnetic domain D... 2,i In this configuration, the magnetic field lines of the coil 52 are in the same direction as the magnetic field lines of the permanent magnet 51.

[0074] The moving component is subjected to 2N forces, where N = 1, 2, 3, ..., 100; each force comprises two parts: a linear term of the excitation current i and a nonlinear term of the excitation current i.

[0075] F 动磁圈，n (i)=F 动磁圈，n，linear (i)+F 动磁圈，n，nonlinear(i), where n = 1, 2, 3, ..., 2N-1, 2N;

[0076] The resultant force on the moving part also consists of two parts: a linear term of current i and a nonlinear term of current i.

[0077] F 动磁圈，合力 (i)=F 动磁圈，合力，linear (i)+F 动磁圈，合力，nonlinear (i)

[0078] in:

[0079]

[0080]

[0081]

[0082] F 动磁圈 , 合力，nonlinear (i)≡0, meaning the nonlinear terms in each component force cancel each other out to zero, then F 动磁圈，合力 (i)=F 动磁圈，合力，linear (i) means that the resultant force and the excitation current are always linearly related, thus obtaining a single moving magnetic coil oscillator with the nonlinear terms canceled out.

[0083] In one structure, N 磁 =(N 圈 -1)*n; n is a natural number, n = 1, 2, 3…; when N 磁 When N > 1, the polarities of the two opposite end faces of the adjacent permanent magnet 51 are the same; when N 圈 When the value is greater than 1, the current in adjacent coils 52 is in the opposite direction, and the electromagnetic fields of two adjacent coils 52 and their two adjacent end faces have the same polarity.

[0084] In another structure, N 磁 =(N 圈 +1)*n; n is a natural number, n = 1, 2, 3…; when N 磁 When N > 1, the polarities of the two opposite end faces of the adjacent permanent magnet 51 are the same; when N 圈 When the value is greater than 1, the current in adjacent coils 52 is in the opposite direction, and the electromagnetic fields of two adjacent coils and their two adjacent end faces have the same polarity.

[0085] The moving part 5 and the stator part 4 are arranged in an interlocking, concave-convex shape. The closed curve of the main magnetic field line of the coil 52 and the closed curve of the main magnetic field line of the permanent magnet 51 alternately pass through the moving part 5 and the stator part 4, respectively.

[0086] A magnetic conductor is used near the outer cylinder 1 of the coil 52 to minimize the magnetic resistance of the magnetic circuit of the electromagnet formed by the coil 52; the permanent magnets 51 are isolated from each other by a magnetic conductor; a yoke is used around the coil 52 and the permanent magnets 51, or a magnetic outer cylinder is used near the outer cylinder 1 of the coil 52.

[0087] Example 2

[0088] Please refer to Figure 1-6 A parallel-coil push-pull nonlinear cancelling moving magnetic coil single-moving oscillator includes a moving magnetic coil single-moving oscillator body 11. The moving magnetic coil single-moving oscillator body 11 includes an outer cylinder 1, a vibration transmission plate 3, a stator assembly 4, and a mover assembly 5. The stator assembly 4 includes an iron core assembly structure. The mover assembly 5 includes a magnet coil assembly structure. The magnet coil assembly structure includes a permanent magnet 51, a coil 52, and a first magnetic conductor or a first non-magnetic conductor 53. The iron core assembly structure includes an iron core 41 and a second magnetic conductor or a second non-magnetic conductor 53. The second non-magnetic body 42, the magnet coil assembly structure also includes a magnetic ring 54. Looking outwards from the center, the coil 52 is on the outside, the permanent magnet 51 is on the inside, there is one permanent magnet 51, and two coils 52. The current directions in adjacent coils 52 are opposite, and the electromagnetic field polarities of the two adjacent end faces of two adjacent coils 52 are the same. One vibration transducer 3 is provided, and the vibration transducer 3 is fixed to the bottom surface of the outer cylinder 1. The bottom surface of the inner cylinder 2 is fixed to the middle of the vibration transducer 3. The cross-section is U-shaped. The horizontal part of the inner cylinder 2 is parallel to the vibration direction. The first magnetic conductor or the first non-magnetic conductor 53 is fixed in the middle of the horizontal part of the inner cylinder 2. The permanent magnet 51 is fixed on the first magnetic conductor or the first non-magnetic conductor 53. The two coils 52 are respectively fixed on both sides of the first magnetic conductor or the first non-magnetic conductor 53. The magnetic ring 54 is fixed on the outside of the two coils 52. The two coils 52 and the magnetic ring 54 are all fixed on the horizontal part of the inner cylinder 2. One end of the iron core 41 is fixed on the inner side of the top surface of the outer cylinder 1. The second magnetic conductor or the second non-magnetic conductor 42 is fixed on one end of the iron core 41. The moving part assembly 5 and the stator assembly 4 are arranged in an alternating concave-convex interlocking shape. The closed curve of the main magnetic force line of the coil 52 and the closed curve of the main magnetic force line of the permanent magnet 51 alternately pass through the moving part assembly 5 and the stator assembly 4. The moving magnetic coil single moving oscillator body 11 has 4 magnetic domains D designed in pairs inside. 1,1 and D 2,1， D 1,2 and D 2,2 The closed curves of the main magnetic field lines of the coil 52 and the closed curves of the main magnetic field lines of the permanent magnet 51 respectively cross the magnetic domain D. 1,1 and D 2,1 And in the magnetic domain D 1,1In the magnetic field, the direction of the magnetic field lines of the coil 52 is opposite to that of the permanent magnet 51, while in the magnetic domain D... 2,1 In this configuration, the magnetic field lines of the coil 52 are in the same direction as the magnetic field lines of the permanent magnet 51.

[0089] The outer cylinder 11 can be a magnetic outer cylinder 1 or a non-magnetic outer cylinder 1. In order to reduce magnetic resistance, a magnetic outer cylinder 1 is preferred. The cross-section of the outer cylinder 1 can be circular, square, or irregular, and can be continuous or discontinuous, such as columnar connection or grid discontinuity.

[0090] To further illustrate the parallel-connected push-pull nonlinear cancellation of the single-moving magnetic coil oscillator, please refer to the appendix. Figure 2 Air gap 1 constitutes the magnetic field D 1,1 Air gap 2 constitutes the magnetic field D 1,1 Within the magnetic field domain, the total magnetic flux / magnetic induction intensity generated by the superposition of the magnetic field generated by the permanent magnet 51 and the electromagnet generated by the coil 52 causes the components around the magnetic field to generate an interaction force.

[0091] Please refer to Figure 1 and Figure 2 The magnetic field domain D is formed by four air gaps. 1,1 D 2,1 D 1,2 D 2,2 Within the magnetic field domain, the total magnetic flux / magnetic induction intensity generated by the superposition of the magnetic field generated by the permanent magnet 51 and the electromagnet coil 52 causes the components surrounding the magnetic field to interact with each other. The magnetic field D above... 1,1 D 2,1 D 1,2 D 2,2 All of these are enclosed in the gap between the stator assembly 4 and the mover assembly 5. Therefore, in these magnetic domains, there will be interactive component forces between the stator assembly 4 and the mover assembly 5.

[0092] Please refer to Figure 4 The current through coil C1 is i1, the current through coil C2 is i2, and the corresponding magnetic fluxes of the coils are Φ and Φ, respectively. i1 and Φ i2 The magnetic flux corresponding to the permanent magnet M is Φ. M .

[0093] Magnetic domain D 1,1 D 2,1 D 1,2 D 2,2 Magnetic fields can be paired in pairs according to the symmetry case for D j =(D 1,j D 2,j), j = 1, 2; including magnetic field pairs D1 = (D 1,1 D 2,1 ), and magnetic field pair D2=(D 1,2 D 2,2 ).

[0094] 1) Magnetic domain to D j =(D 1,j D 2,j When j=1, that is, the magnetic field pair D1=(D 1,1 D 2,1 ) magnetic flux

[0095] In magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C1 is the same as the direction of the magnetic field lines corresponding to permanent magnet M1. Therefore, in the magnetic domain D... 1,1 In the middle, the total magnetic flux is Φ i1 and Φ M1 =Φ m The added value. In the magnetic domain D 2,1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C2 is opposite to the direction of the magnetic field lines corresponding to permanent magnet M1. Therefore, in the magnetic field domain D... 2,1 In the middle, the total magnetic flux is Φ i2 and Φ M1 =Φ m The difference.

[0096] Assume i1 = i2 = i, Φ i1 =Φ i2 =Φ i If the magnetic field lines of magnet M are in the positive direction and the magnetic flux is also positive, then we have

[0097] Φ D1,1 =Φ M1 +Φ i1 =Φ m +Φ i

[0098] Φ D2,1 =Φ M1 -Φ i2 =Φ m -Φ i

[0099] 2) Magnetic domain to D j =(D 1,j D 2,j When i = 2, that is, the magnetic field pair (D) 1,2 D 2,2 ) magnetic flux

[0100] In magnetic domain D 1,2 In the middle, only the magnetic field lines corresponding to coil C1 pass through, therefore the total magnetic flux is only Φ. i1 =Φi In the magnetic domain D 2,2 In the middle, only the magnetic field lines corresponding to coil C2 pass through, therefore the total magnetic flux is only Φ. i2 =Φ i .

[0101] Assuming that the magnetic reluctance of the magnetic circuit formed by the electromagnetic field generated by the current i in coils C1 and C2 is equal to N, where N is the number of turns in coils C1 and C2, and i is the current intensity, then we have:

[0102]

[0103] Assume the permeability of the magnetic circuit formed by the electromagnetic field generated by the current is G. i Then we have:

[0104]

[0105] The magnetic flux corresponding to a permanent magnet can also be expressed using the formula for magnetic induction intensity. Assume the magnetic induction intensities at the extreme ends of permanent magnet M1 are B... m The area of ​​the magnetic pole end is S. m It can be obtained that...

[0106] Therefore,

[0107]

[0108]

[0109] Figure 2 The diagram shows the closed magnetic field lines of coils C1 and C2, as well as the closed magnetic field line of magnet M1. In the diagram, the closed magnetic field lines generated by coil C1 pass through the magnetic gap D. 1,1 D 1,2 The closed magnetic field lines generated by coil C2 pass through the magnetic gap D. 2,1 D 2,2 The closed magnetic field lines generated by magnet M1 pass through the magnetic gap D in sequence. 1,1 D 2,1 .

[0110] Figure 5 It is the moving component 5, magnetic domain D 1,1 D 2,1 D 1,2 D 2,2 The diagram showing the relationship between the stator assembly 4 and the rotor assembly 5 is also the force analysis diagram isolated from the rotor assembly 5. In the magnetic domain D... 1,1 The drive assembly 5 is subjected to a leftward suction force F from the stator assembly 4. 1,1 In the magnetic domain D 2,1 The drive assembly 5 is subjected to a rightward suction force F from the stator assembly 4.2,1 In the magnetic domain D 1,2 The drive assembly 5 is subjected to a rightward suction force F from the stator assembly 4. 1,2 In the magnetic domain D 2,2 The drive assembly 5 is subjected to a leftward suction force F from the stator assembly 4. 2,2 .

[0111] Figure 5 It can also be seen that, for each magnetic domain, D j =(D 1,j D 2,j The two forces acting on the moving component 5 are F. 1,j and F 2,j It has the following characteristics:

[0112] 1)F 1,j and F 2,j The direction of the force is along the Z-axis, which is the direction of vibration.

[0113] 2)F 1,j and F 2,j As vectors, forces have opposite directions. F 1,j When the direction of the force is positive (for example, if we define the right side as positive), F 2,j The direction of the force is exactly negative. The converse is also true, i.e., F... 1,j When the direction of the force is negative, F 2,j The direction of the force is exactly positive.

[0114] 3)F 1,j and F 2,j The paired nature of the forces, along with their related directions, means that the moving component 5 is simultaneously subjected to a thrust and a pull. This type of force distribution is called a push-pull force structure, and the corresponding design is called a push-pull design.

[0115] 4)F 1,j and F 2,j Appearing in pairs, each F 1,j and F 2,j The resultant force formed by each of them must be a pushing force and a pulling force, and the resultant force is also a push-pull force structure.

[0116] Assuming magnetic field pair D j =(D 1,j D 2,j The resultant force corresponding to this is F. j (The positive and negative signs indicate different directions of the force). Taking the rightward direction as positive, the resultant force of the stator assembly 4 on the mover assembly 5 is:

[0117] F 动子组件 =F1+F2=-F 1,1 +F2,1 +F 1,2 -F 2,2

[0118] F 动子组件 =F1+F 2＝ (-F 1,1 +F 2,1 )+(F 1,2 -F 2,2 )

[0119] Where F j It corresponds to the magnetic field pair D j =(D 1,j D 2,j The combined force of ).

[0120] Each component force is divided into pairs of paired magnetic domains, each corresponding to a different magnetic domain pair D. j The resultant force of the component forces, for example, F1 = -F 1,1 +F 2,1 and F2 = F 1,2 -F 2,2 Then calculate the total resultant force.

[0121] Further derive the formulas for the electromagnetic forces generated in each magnetic domain. The electromagnetic attraction acting on a magnetized ferromagnetic object is proportional to the total area of ​​the magnetic field lines passing through the magnetic poles and the square of the magnetic flux density. If the magnetic flux density B is uniformly distributed along the surface of the magnetic poles, and the calculated air gap length is small, then the formula for calculating the electromagnetic attraction is Maxwell's formula, and its expression is:

[0122]

[0123] F: Electromagnetic attraction

[0124] B: Magnetic flux density or magnetic induction intensity

[0125] Magnetic flux through a medium

[0126] S: Area of ​​magnetic field lines crossing magnetic poles

[0127] μ0: Air permeability

[0128] C: The correlation coefficient between the combination type and shape of the magnetic end faces has different values ​​for different scenarios. If it is the force generated between permanent magnets, it is denoted as , usually taking a value of 1, and the accurate value is obtained through actual measurement in the actual design process; if it is the force between a permanent magnet and a magnetic conductor (yoke), it is usually taken as 1 / 2, and the accurate value is obtained through actual measurement in the actual design process; if it is the force between two magnetic conductors (yokes), it is denoted as , usually taking a value of 1 / 4, and the accurate value is obtained through actual measurement in the actual design process.

[0129] 1)F j, The calculation for j=1 corresponds to the magnetic field pair D. j =(D 1,j D 2,j ), j=1

[0130] Corresponding magnetic field pair D1=(D 1,1 D 2,1 The resultant force of the component forces is F1 = F 1,1 -F 2,1 The above formula is used to calculate the magnetic field D above. 1,1 and magnetic field D 2,1 The electromagnetic attraction in the middle includes:

[0131]

[0132] Among them, respectively, magnetic domain D 1,1 and D 2,1 The area of ​​the corresponding annular end face, and. Therefore:

[0133]

[0134]

[0135] Among them are:

[0136]

[0137]

[0138] because

[0139] F1 = -F 1,1 +F 2,1

[0140] Then there is

[0141]

[0142] F 1，1，linear F 2，1，linear F 1，1，nonlinea F 1，1，nonlinear Substitute F respectively1，linear and F 1，nonlinear The calculations are as follows:

[0143]

[0144] because

[0145]

[0146]

[0147] Therefore:

[0148]

[0149] Similarly, calculate F. 1，nonlinear ,

[0150]

[0151] Therefore, D1 = (D 1，1 D 2，1 The resultant force of the component forces is:

[0152]

[0153] 2)F j The calculation for j=2 corresponds to the magnetic field pair D. j =(D 1，j D 2，j ), j=2

[0154] Corresponding magnetic field pair D2=(D 1，2 D 2，2 The resultant force of the component forces is F2 = F 1，2 -F 2，2 Calculate the magnetic field D above. 1，2 and magnetic field D 1，2 The electromagnetic attraction in the middle includes:

[0155]

[0156] 2)F j The calculation for j=2 corresponds to the magnetic field pair D. j =(D 1，j D 2，j ), j=2

[0157] Corresponding magnetic field pair D2=(D 1，2 D 2，2 The resultant force of the component forces is F2 = F 1，2 -F 2，2 Calculate the magnetic field D above. 1，2 and magnetic field D 1，2 The electromagnetic attraction in the middle includes:

[0158]

[0159] Among them, S D1，2 S D2，2 They are magnetic domain D 1，2 and D 2，2 The area of ​​the corresponding annular end face, and S D1，2 =S D2，2 =S D Therefore:

[0160]

[0161] Therefore,

[0162]

[0163] It can be obtained

[0164]

[0165] Because of the net force on the moving part

[0166] F 动子组件 =F1+F2

[0167] F 动子组件 =F 动子组件，linear +F 动子组件，nonlinear

[0168] all:

[0169]

[0170]

[0171] F 动子组件,nonlinear =F 1，nonlinear +F 2，nonlinear =0+0=0

[0172] From the above derivation process, the following characteristics can be observed:

[0173] 1) In the linear term of the resultant force, the component forces and their respective linear terms are superimposed, so that the linear term of the resultant force and the coil current are still linearly related.

[0174] 2) In the resultant nonlinear term, the component forces and their respective nonlinear terms cancel each other out, so the resultant nonlinear term is zero.

[0175] We call the above design method a parallel magnetic coil push-pull nonlinear canceling moving magnetic coil single-acting oscillator. This method can be used not only for designing oscillators, but also for designing brakes. The moving magnetic coil oscillator or brake obtained by the above method is also called a parallel magnetic coil push-pull nonlinear canceling moving magnetic coil single-acting oscillator or brake.

[0176] Please refer to the appendix. Figure 21 The figure shows the THD distortion curve of the nonlinear term-cancelled moving-coil single-acting oscillator designed according to the present invention. As can be seen from the figure, the nonlinear term-cancelled moving-coil single-acting oscillator of the present invention reduces the total harmonic distortion (THD) in the low-frequency range from the original peak value of 55% to below 15%, and the total harmonic distortion in the high-frequency range from the original peak value of 65% to below 5%. This reduction in distortion curves can be equivalently translated into a reduction in the target resonant frequency of the oscillator system, resulting in better low-to-mid-frequency sound quality. Furthermore, it can also be equivalently translated into an increase in the sensitivity of the oscillator system and a reduction in power consumption.

[0177] Example 3

[0178] Please refer to Figure 7-12A single-moving oscillator with nonlinear term cancellation includes a single-moving oscillator body 11. The single-moving oscillator body 11 includes an outer cylinder 1, a transmission plate 3, a stator assembly 4, and a mover assembly 5. The stator assembly 4 includes an iron core assembly structure. The mover assembly 5 includes a magnet coil assembly structure. The magnet coil assembly structure includes a permanent magnet 51, a coil 52, and a first magnetic conductor or a first non-magnetic conductor 53. The iron core assembly structure includes an iron core 41 and a second magnetic conductor or a second non-magnetic conductor 42. The magnet coil assembly structure also includes a magnetic ring 54. Viewed from the center outwards, the coil 52 is on the outside, and the permanent magnet 51 is on the inside. There are two permanent magnets 51, and the polarities of the two opposite end faces of adjacent permanent magnets 51 are the same. There is one coil 52. There is one transmission plate 3, which is fixed to the bottom surface of the outer cylinder 1. The inner cylinder 2... The bottom surface is fixed in the middle of the vibration plate 3. The cross-section of the inner cylinder 2 is U-shaped. The horizontal part of the inner cylinder 2 is parallel to the vibration direction. The coil 52 is fixed in the middle of the horizontal part of the inner cylinder 2. The first magnetic conductor or the first non-magnetic conductor 53 is fixed on both sides of the coil 52. The permanent magnet 51 is fixed on the two first magnetic conductors or the first non-magnetic conductors 53. One end of the iron core 41 is fixed on the inner side of the top surface of the outer cylinder 1. The second magnetic conductor or the second non-magnetic conductor 42 is fixed in the middle of the iron core 41. The moving part assembly 5 and the stator assembly 4 are arranged in an alternating concave-convex interlocking shape. The closed curve of the main magnetic force line of the coil 52 and the closed curve of the main magnetic force line of the permanent magnet 51 alternately pass through the moving part assembly 5 and the stator assembly 4. The moving magnetic coil single moving oscillator body 11 has four magnetic domains D designed in pairs inside. 1,1 and D 2,1， D 1,2 and D 2,2 The closed curves of the main magnetic field lines of the coil 52 and the closed curves of the main magnetic field lines of the permanent magnet 51 respectively cross the magnetic domain D. 1,1 and D 2,1 And in the magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines of the coil 52 is opposite to that of the permanent magnet 51, while in the magnetic domain D... 2,1 In this configuration, the magnetic field lines of the coil 52 are in the same direction as the magnetic field lines of the permanent magnet 51.

[0179] Figure 10The four annular air gaps, marked with dense dots and arranged sequentially along the axial direction, form the spatial region enclosed by the stator assembly 4 and the mover assembly 5. Magnetic lines of force formed by the coil 52 and the permanent magnet 51 pass through these regions. On either side of these annular air gaps along the Z-axis are yokes of different shapes. According to the principles of electromagnetism, the yokes on either side of these air gaps through which the magnetic lines of force pass will generate mutually attractive electromagnetic forces; therefore, the regions where these magnetic forces act are called the magnetic field domains.

[0180] Figure 7 In the middle, there are four air gaps that form the magnetic field domain D. 1,1 D 2,1 D 1,2 D 2,2 Within the magnetic field domain, the total magnetic flux / magnetic induction intensity generated by the superposition of the magnetic field generated by the permanent magnet 51 and the electromagnet coil 52 causes the components surrounding the magnetic field to interact with each other. The magnetic field D above... 1,1 D 2,1 D 1,2 D 2,2 All of these are enclosed in the gap between the stator assembly 4 and the mover assembly 5. Therefore, in these magnetic domains, there will be interactive component forces between the stator assembly 4 and the mover assembly 5.

[0181] Figure 8 The closed magnetic field lines of coil C1, as well as the closed magnetic field lines of permanent magnets M1 and M2, are further plotted. In the figure, the closed magnetic field lines generated by coil C1 pass through the magnetic gap D. 1,1 D 2,1 The closed magnetic field lines generated by magnet M1 pass through the magnetic gap D in sequence. 1,1 D 1,2 The closed magnetic field lines generated by magnet M2 pass through the magnetic gap D in sequence. 1,2 D 2,2 .

[0182] The current through coil C1 is i1, and the corresponding magnetic flux through coil C1 is Φ. i1 The magnetic flux corresponding to permanent magnets M1 and M2 is Φ. m1 and Φ m2 .

[0183] Magnetic domain D 1,1 D 2,1 D 1,2 D 2,2 Magnetic fields can be paired in pairs according to the symmetry case for D j =(D 1,j D 2,j ), j = 1, 2; including magnetic field pairs D1 = (D 1,1 D2,1 ), and magnetic field pair D2=(D 1,2 D 2,2 ).

[0184] 1) Magnetic domain to D j =(D 1,j D 2,j When j=1, that is, the magnetic field pair D1=(D 1,1 D 2,1 ) magnetic flux

[0185] In magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C1 is the same as the direction of the magnetic field lines corresponding to permanent magnet M1. Therefore, in the magnetic domain D... 1,1 In the middle, the total magnetic flux is Φ i1 and Φ M1 =Φ m1 The added value. In the magnetic domain D 2,1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C1 is opposite to the direction of the magnetic field lines corresponding to permanent magnet M2. Therefore, in the magnetic field domain D... 2,1 In the middle, the total magnetic flux is Φ i1 and Φ M2 =Φ m2 The difference.

[0186] Assume i1 = i, Φ i1 =Φ i The magnetic flux corresponding to permanent magnet M1 and permanent magnet M2 is Φ m1 =Φ m2 =Φ m Assuming the magnetic field lines of magnet M1 are in the positive direction and the magnetic flux is also positive, then we have:

[0187] Φ D1,1 =Φ M1 +Φ i =Φ m +Φ i

[0188] Φ D2,1 =-Φ M2 +Φ i =-Φ m +Φ i

[0189] 2) Magnetic domain to D j =(D 1,j D 2,j When i = 2, that is, the magnetic field pair (D) 1,2 D 2,2 ) magnetic flux

[0190] In magnetic domain D 1,2 In the middle, only the magnetic field lines corresponding to the permanent magnet M1 pass through, therefore the total magnetic flux is only Φ.M1 =Φ m In the magnetic domain D 2,2 In the middle, only the magnetic field lines corresponding to the permanent magnet M2 pass through, therefore the total magnetic flux is only Φ. M2 =Φ m .

[0191] Assuming the magnetic reluctance of the magnetic circuit formed by the electromagnetic field generated by the current i in coil C1 is constant, N is the number of turns in coil C1, and i is the current intensity, then we have:

[0192]

[0193] Assuming the permeability of the magnetic circuit formed by the electromagnetic field generated by the current is , then we have:

[0194]

[0195] The magnetic flux corresponding to permanent magnet 51 can also be expressed using the formula for magnetic induction intensity. Assuming the magnetic induction intensity at the magnetic end faces of permanent magnets M1 and M2 is and the area of ​​the magnetic end faces is , we can obtain...

[0196] Therefore,

[0197] Therefore,

[0198]

[0199]

[0200] Figure 11 It is the moving component 5, magnetic domain D 1,1 D 2,1 D 1,2 D 2,2 The diagram showing the relationship between the stator assembly 4 and the rotor assembly 5 is also the force analysis diagram isolated from the rotor assembly 5. In the magnetic domain D... 1,1 The drive assembly 5 is subjected to a rightward suction force F from the stator assembly 4. 1,1 In the magnetic domain D 2,1 The drive assembly 5 is subjected to a leftward suction force F from the stator assembly 4. 2,1 In the magnetic domain D 1,2 The drive assembly 5 is subjected to a leftward suction force F from the stator assembly 4. 1,2 In the magnetic domain D 2,2 The drive assembly 5 is subjected to a rightward suction force F from the stator assembly 4. 2,2 .

[0201] Figure 11 It can also be seen that, for each magnetic domain, D j =(D 1,j D 2,jThe two forces acting on the moving component 5 are F. 1,j and F 2,j It has the following characteristics:

[0202] 1)F 1,j and F 2,j The direction of the force is along the Z-axis, which is the direction of vibration.

[0203] 2)F 1,j and F 2,j As vectors, forces have opposite directions. F 1,j When the direction of the force is positive (for example, if we define the right side as positive), F 2,j The direction of the force is exactly negative. The converse is also true, i.e., F... 1,j When the direction of the force is negative, F 2,j The direction of the force is exactly positive.

[0204] 3)F 1,j and F 2,j The paired nature of the forces, along with their related directions, means that the moving component 5 is simultaneously subjected to a thrust and a pull. This type of force distribution is called a push-pull force structure, and the corresponding design is called a push-pull design.

[0205] 4)F 1,j and F 2,j Appearing in pairs, each F 1,j and F 2,j The resultant force formed by each of them must be a pushing force and a pulling force, and the resultant force is also a push-pull force structure.

[0206] Assuming magnetic field pair D j =(D 1,j D 2,j The resultant force corresponding to this is F. j (The positive and negative signs indicate different directions of the force). Taking the leftward direction as positive, the resultant force of the stator assembly 4 on the mover assembly 5 is:

[0207] F 定子组件 =F1+F2=-F 1,1 +F 2,1 +F 1,2 -F 2,2

[0208] F 定子组件 =F1+F2=(-F 1,1 +F 2,1 )+(F 1,2 -F 2,2 )

[0209] Where F j It corresponds to the magnetic field pair D j =(D1,j D 2,j The combined force of ).

[0210] Each component force is divided into pairs of paired magnetic domains, each corresponding to a different magnetic domain pair D. j The resultant force of the component forces, for example, F1 = -F 1,1 +F 2,1 and F2 = F 1,2 -F 2,2 Then calculate the total resultant force.

[0211] Further derive the formulas for the electromagnetic forces generated in each magnetic domain. The electromagnetic attraction acting on a magnetized ferromagnetic object is proportional to the total area of ​​the magnetic field lines passing through the magnetic poles and the square of the magnetic flux density. If the magnetic flux density B is uniformly distributed along the surface of the magnetic poles, and the calculated air gap length is small, then the formula for calculating the electromagnetic attraction is Maxwell's formula, and its expression is:

[0212]

[0213] F: Electromagnetic attraction

[0214] B: Magnetic flux density or magnetic induction intensity

[0215] Magnetic flux through a medium

[0216] S: Area of ​​magnetic field lines crossing magnetic poles

[0217] μ0: Air permeability

[0218] C: The correlation coefficient between the combination type and shape of the magnetic extreme end faces has different values ​​for different scenarios. If it is the force generated between two permanent magnets 51, it is denoted as , usually taking a value of 1. The accurate value is obtained through actual measurement during the actual design process. If it is the force between the permanent magnet and the conductor magnet (yoke), it is usually taken as 1 / 2. The accurate value is obtained through actual measurement during the actual design process. If it is the force between two conductor magnets (yoke), it is denoted as , usually taking a value of 1 / 4. The accurate value is obtained through actual measurement during the actual design process.

[0219] 1)F j, The calculation for j=1 corresponds to the magnetic field pair D. j =(D 1,j D 2,j ), j=1

[0220] Corresponding magnetic field pair D1=(D 1,1 D 2,1 The resultant force of the component forces is F1 = -F 1,1 +F2,1 The above formula is used to calculate the magnetic field D above. 1,1 and magnetic field D 2,1 The electromagnetic attraction in the middle includes:

[0221]

[0222]

[0223]

[0224] Among them are:

[0225]

[0226]

[0227] because

[0228] F1 = -F 1，1 +F 2，1

[0229] Then there is

[0230]

[0231] F 1，1，linear F 2，1，linear F 1，1，nonlinear F 1，1，nonlinear Substitute F respectively 1，linear and F 1，nonlinear The calculations are as follows:

[0232]

[0233] because

[0234]

[0235]

[0236] Therefore:

[0237]

[0238] Similarly, calculate F. 1，nonlinear ,

[0239]

[0240] Therefore, D1 = (D 1，1 D 2，1 The resultant force of the component forces is:

[0241]

[0242] 2)F j The calculation for j=2 corresponds to the magnetic field pair D. j =(D 1，j D 2，j ), j=2

[0243] Corresponding magnetic field pair D2=(D 1，2 D 2，2 The resultant force of the component forces is F2 = F 1，2 -F 2，2 Calculate the magnetic field D above. 1，2 and magnetic field D 1，2 The electromagnetic attraction in the middle includes:

[0244]

[0245] Among them, S D1，2 S D2，2 They are magnetic domain D 1，2 and D 2，2 The area of ​​the corresponding annular end face, and S D1，2 =S D2，2 =S D Therefore:

[0246]

[0247] Therefore,

[0248]

[0249] It can be obtained

[0250]

[0251] Because of the net force on the moving part

[0252] F 动子组件 =F1+F2

[0253] F 动子组件 =F 动子组件，linear +F 动子组件，nonlinear

[0254] all:

[0255]

[0256] F 动子组件，nonlinear =F 1，nonlinear +F 2，nonlinear =0+0=0

[0257] From the above derivation process, the following characteristics can be observed:

[0258] 1) In the linear term of the resultant force, the component forces and their respective linear terms are superimposed, so that the linear term of the resultant force and the coil current are still linearly related.

[0259] In the resultant nonlinear term, the component forces and their respective nonlinear terms cancel each other out, thus the resultant nonlinear term is zero.

[0260] Example 4

[0261] Please refer to Figure 13-18 The nonlinear term cancellation moving magnetic coil single-moving oscillator includes a moving magnetic coil single-moving oscillator body 11. The moving magnetic coil single-moving oscillator body 11 includes an outer cylinder 1, a vibration transmission plate 3, a stator assembly 4, and a mover assembly 5. The stator assembly 4 includes an iron core assembly structure. The mover assembly 5 includes a magnet coil assembly structure. The magnet coil assembly structure includes a permanent magnet 51, a coil 52, and a first magnetic conductor or a first non-magnetic conductor 53. The iron core assembly structure includes an iron core 41 and a second magnetic conductor or a second non-magnetic conductor 42. Looking outward from the center, the coil 52 is on the outside, and the permanent magnet 51 is on the inside. There are two permanent magnets 51, and the polarities of the two opposite end faces of adjacent permanent magnets 51 are the same. There are three coils 52, and the current directions in adjacent coils 52 are opposite. The electromagnetic field polarities of the two adjacent end faces of two adjacent coils 52 are the same. There is one vibration transmission plate 3, which is fixed to the bottom surface of the outer cylinder 1. The bottom surface of the inner cylinder 2 is fixed to the outer cylinder 1. The inner cylinder 2 has a U-shaped cross-section, and its horizontal section is parallel to the vibration direction. Three coils 52 are fixed on the horizontal section of the inner cylinder 2. A first magnetic conductor or a first non-magnetic conductor 53 is provided between adjacent coils 52. A first magnetic ring 54 is provided on the outside of each coil 52. Two permanent magnets 51 are fixed on the first magnetic conductor or the first non-magnetic conductor 53 respectively. One end of the iron core 41 is fixed on the inner side of the top surface of the outer cylinder 1. A second magnetic conductor or a second non-magnetic conductor 42 is fixed on one end of the iron core 41. A second magnetic ring 54 is also provided in the middle of the iron core 41. The moving coil assembly 5 and the stator assembly 4 are arranged in an alternating, interlocking shape. The closed curves of the main magnetic lines of force of the coils 52 and the closed curves of the main magnetic lines of force of the permanent magnets 51 alternately pass through the moving coil assembly 5 and the stator assembly 4 respectively. The moving magnetic coil single-moving oscillator body 11 has 6 magnetic domains D designed in pairs inside. 1,1 and D 2,1 D 1,2 and D 2,2 D 1,3 and D 2,3 The closed curves of the main magnetic field lines of the coil 52 and the closed curves of the main magnetic field lines of the permanent magnet 51 respectively cross the magnetic domain D. 1,1 D 2,1 D 1,2 and D2,2 In the magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines of the coil 52 is the same as that of the permanent magnet 51, while in the magnetic domain D... 2,1 In the magnetic field, the direction of the magnetic field lines of the coil 52 is opposite to the direction of the magnetic field lines of the permanent magnet 51; in the magnetic domain D 1,2 In the magnetic field, the direction of the magnetic field lines of the coil 52 is opposite to that of the permanent magnet 51, while in the magnetic domain D... 2,2 In this configuration, the magnetic field lines of the coil 52 are in the same direction as the magnetic field lines of the permanent magnet 51.

[0262] Figure 16 The air gap between the stator assembly 4 and the mover assembly 5 is represented by a dense grid of dots. Within the area enclosed by this air gap, the stator assembly 4 and the mover assembly 5 generate mutual electromagnetic forces. Therefore, these areas are called the magnetic field (or magnetic domain for short).

[0263] superior Figure 14 The magnetic field domain D is formed by six air gaps. 1,1 D 2,1 D 1,2 D 2,2 D 1,3 D 2,3 Within the magnetic field domain, the total magnetic flux / magnetic induction intensity generated by the superposition of the magnetic field generated by the permanent magnet 51 and the electromagnet coil 52 causes the components surrounding the magnetic field to interact with each other. The magnetic field D above... 1,1 D 2,1 D 1,2 D 2,2 D 1,3 D 2,3 Both are surrounded by stator assembly 4 and mover assembly 5. Therefore, in these magnetic domains, there will be an interaction force between stator assembly 4 and mover assembly 5.

[0264] Figure 15 The diagram shows the closed magnetic field lines of coils C1, C2, and C3, as well as the closed magnetic field lines of magnets M1 and M2. In the diagram, the closed magnetic field lines generated by coil C1 pass through the magnetic gap D. 1,2 D 1,3 The closed magnetic field lines generated by coil C2 pass through the magnetic gap D. 1,1 D 2,1 The closed magnetic field lines generated by coil C3 pass through the magnetic gap D. 2,2 D 2,3 The closed magnetic field lines generated by magnet M1 pass through the magnetic gap D in sequence. 1,1 D 1,2 The closed magnetic field lines generated by magnet M2 pass through the magnetic gap D in sequence. 2,1 D 2,2 .

[0265] Assume the currents through coils C1, C2, and C3 are i1, i2, and i3 respectively, and i1 = i2 = i3 = i. Then the magnetic flux corresponding to each coil is Φ. i1 , Φ i2 and Φ i3 For the sake of simplicity, assume Φ i1 =Φ i2 =Φ i3 =Φ i (Another possibility is that the number of turns N1, N2, and N3 in coils C1, C2, and C3 is 52, where N1 = N3 ≠ N2, or the magnetic circuit structure of C1, C2, and C3 causes the reluctance of C2 to be different from that of C1 and C3, thus making Φ...) i1 =Φ i3 ≠Φ i2 In this case, because it is still a symmetrical design, the conclusion that the nonlinear terms in the resultant force of the paired forces cancel each other out still holds. The magnetic fluxes corresponding to permanent magnets M1 and M2 are Φ M1 =Φ M2 =Φ m .

[0266] Magnetic domain D 1,1 D 2,1 D 1,2 D 2,2 D 1,3 D 2,3 We can group them in pairs according to the symmetry, D 1,1 D 2,1 It is the first pair of magnetic fields arranged symmetrically, D 1,2 D 2,2 It is the second pair of magnetic fields arranged symmetrically, D 1,3 D 2,3 It is the third pair of magnetic fields arranged symmetrically.

[0267] 1) Magnetic domain to D j =(D 1,j D 2,j ), j=1

[0268] In magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C2 is opposite to the direction of the magnetic field lines corresponding to permanent magnet M1. Therefore, in the magnetic field domain D... 1,1 In the middle, the total magnetic flux is Φ i1 and Φ M1 =Φ m The difference. In the magnetic domain D 2,1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C2 is the same as the direction of the magnetic field lines corresponding to permanent magnet M2. Therefore, in the magnetic field domain D... 2,1 In the middle, the total magnetic flux is Φ i2and Φ M2 =Φ m The added value.

[0269] Assume i1 = i2 = i3 = i, Φ i1 =Φ i3 ≠Φ i2 Assuming that the magnetic field lines of the permanent magnet 51 are in the positive direction and the magnetic flux is also positive in each magnetic domain, then we have

[0270] Φ D1,1 =Φ M1 -Φ i2 =Φ m -Φ i2

[0271] Φ D2,1 =Φ M2 +Φ i2 =Φ m +Φ i2

[0272] 2) Magnetic domain to D j =(D 1,j D 2,j ), j=2

[0273] In magnetic domain D 1,2 In the magnetic field, the direction of the magnetic field lines corresponding to coil C1 is the same as the direction of the magnetic field lines corresponding to permanent magnet M1. Therefore, in the magnetic domain D... 1,2 In the middle, the total magnetic flux is Φ i1 =Φ i3 and Φ M1 =Φ m The added value. In the magnetic domain D 2,2 In the magnetic field, the direction of the magnetic field lines corresponding to coil C3 is opposite to the direction of the magnetic field lines corresponding to permanent magnet M2. Therefore, in the magnetic field domain D... 2,2 In the middle, the total magnetic flux is Φ i3 =Φ i1 and Φ M2 =Φ m The difference.

[0274] Assume i1 = i2 = i3 = i, Φ i1 =Φ i3 ≠Φ i2 Assuming that the magnetic field lines of the permanent magnet 51 are in the positive direction and the magnetic flux is also positive in each magnetic domain, then we have

[0275] Φ D1,2 =Φ M1 +Φ i1 =Φ m +Φ i1

[0276] Φ D2,2 =ΦM1 -Φ i3 =Φ m -Φ i1

[0277] 3) Magnetic domain to D j =(D 1,j D 2,j ), j=3

[0278] In magnetic domain D 1,3 In the middle, only the magnetic field lines corresponding to coil C1 pass through, therefore the total magnetic flux is only Φ. i1 In the magnetic domain D 2,3 In the middle, only the magnetic field lines corresponding to coil C3 pass through, therefore the total magnetic flux is only Φ. i3 =Φ i1 .

[0279] Assuming the magnetic reluctance of the magnetic circuit formed by the electromagnetic field generated by the current i in coils C1, C2, and C3 is equal to N, where N is the number of turns in coils C1, C2, and C3, and i is the current intensity, then we have:

[0280]

[0281] Assuming the permeability of the magnetic circuit formed by the electromagnetic field generated by the current is , then we have:

[0282]

[0283] Another possibility is that the coils C1, C2, and C3 have 52 turns N1, N2, and N3, where N1 = N3 ≠ N2, or the magnetic circuit structure of C1, C2, and C3 causes the reluctance of C2 to be different from that of C1 and C3, i.e., G i,1 =G i,3 ≠G i,2 , thus Φ i1 =Φ i3 ≠Φ i2 In this case, because it is still a symmetrical design, the conclusion that the nonlinear terms in the resultant force of the paired forces cancel each other out still holds. Therefore:

[0284]

[0285]

[0286] The magnetic flux corresponding to a permanent magnet can also be expressed using the formula for magnetic induction intensity. Assuming the magnetic induction intensity at the magnetic end faces of permanent magnets M1 and M2 is , and the area of ​​the magnetic end faces is , we can obtain:

[0287] Therefore,

[0288]

[0289]

[0290]

[0291] In another scenario: the number of turns N1, N2, and N3 of coils C1, C2, and C3 are such that N1 = N3 ≠ N2, or the magnetic circuit structure of C1, C2, and C3 causes the reluctance of C2 to be different from that of C1 and C3, i.e., G i,1 =G i,3 ≠G i,2 , thus Φ i1 =Φ i3 ≠Φ i2 The formula above becomes:

[0292]

[0293]

[0294]

[0295] As can be seen from the formula above, when N1 = N3, G i,1 =G i,3 Then the magnetic field pair D2=(D 1,2 D 2,2 ), and magnetic field pair D1=(D 1,1 D 2,1 ), D3=(D 1,3 D 2,3 The magnetic flux in the force still possesses the property that the nonlinear terms of the current in the corresponding component force can be canceled out.

[0296] Figure 17 This is a schematic diagram of the oscillator subsystem consisting of the stator assembly 4 and the springs in the transmission plate 3. The magnetic domain D... 1,1 D 2,1 D 1,2 D 2,2 D 1,3 D 2,3 The positional relationship between stator assembly 4 and mover assembly 5 is also explained. In the magnetic domain D... 1,1 The drive assembly 5 is subjected to a rightward suction force F from the stator assembly 4. 1,1 In the magnetic domain D 2,1 The drive assembly 5 is subjected to a leftward suction force F from the stator assembly 4. 2,1 In the magnetic domain D 1,2 The drive assembly 5 is subjected to a leftward suction force F from the stator assembly 4. 1,2 In the magnetic domain D 2,2The drive assembly 5 is subjected to a rightward suction force F from the stator assembly 4. 2,2 In the magnetic domain D 1,3 The drive assembly 5 is subjected to a rightward suction force F from the stator assembly 4. 1,3 In the magnetic domain D 2,3 The drive assembly 5 is subjected to a leftward suction force F from the stator assembly 4. 2,3 Define the magnetic field pair D j =(D 1,j D 2,j The resultant force corresponding to this magnetic field is the force exerted by the magnetic field on D. j The corresponding resultant force F j =F 1,j +F 2,j Assuming leftward is the positive direction, then when F... 1,j and F 2,j When the direction is to the right, then F 1,j and F 2,j If the sign in F is positive, then when F 1,j and F 2,j When the direction is to the left, then F 1,j and F 2,j The sign in the equation is negative. The resultant force from the stator assembly 4 on the mover assembly 5 can be obtained as follows:

[0297] F 定子组件 =F1+F2+F3=-F 1,1 +F 2,1 +F 1,2 -F 2,2 +-F 1,3 +F 2,3

[0298] F 定子组件 =F1+F2+F3=(-F 1,1 +F 2,1 )+(F 1,2 -F 2,2 )+(-F 1,3 +F 2,3 )

[0299] F above j Corresponding magnetic field pair D j =(D 1,j D 2,j The resultant force of the component forces generated on the moving part component 5 in the process.

[0300] As can be seen from the diagram above, for each magnetic domain, D j =(D 1,j D 2,j The two forces acting on stator assembly 4 are F. 1,j and F 2,j It has the following characteristics:

[0301] 1)F 1,j and F 2,j The direction of the force is along the Z-axis, which is the direction of vibration.

[0302] 2)F 1,j and F 2,j As vectors, forces have opposite directions. F 1,j When the direction of the force is positive (for example, if we define the right side as positive), F 2,j The direction of the force is exactly negative. The converse is also true, i.e., F... 1,j When the direction of the force is negative, F 2,j The direction of the force is exactly positive.

[0303] 3)F 1,j and F 2,j The paired nature of the forces, along with their related directions, means that the moving component 5 is simultaneously subjected to a thrust and a pull. This type of force distribution is called a push-pull force structure, and the corresponding design is called a push-pull design.

[0304] 4)F 1,j and F 2,j Appearing in pairs, each F 1,j and F 2,j The resultant force formed by each of them must be a pushing force and a pulling force, and the resultant force is also a push-pull force structure.

[0305] The above can also be expressed as follows: assuming that the algebraic signs of the component forces simultaneously indicate the direction of the force through positive and negative signs, then:

[0306]

[0307] We first calculate the resultant force of the component forces generated in each pair of paired magnetic domains, that is, we calculate the resultant force of each pair of magnetic domains D1 = (D 1,1 D 2,1 The resultant force F1 = -F 1,1 +F 2,1 Magnetic domain pair D2=(D 1,2 D 2,2 The resultant force F1 = F 1,2 -F 2,2 Magnetic domain pair D3=(D 1,3 D 2,3 The resultant force F3 = -F 1,3 +F 2,3 Then calculate the total resultant force.

[0308] First, derive the formula for the electromagnetic force generated in each magnetic field. The magnitude of the electromagnetic attraction acting on a magnetized ferromagnetic object is proportional to the total area of ​​the magnetic field lines passing through the magnetic poles and the square of the magnetic flux density. If the magnetic flux density B is uniformly distributed along the surface of the magnetic poles, and the calculated air gap length is small, then the formula for calculating the electromagnetic attraction is Maxwell's formula, and its expression is:

[0309]

[0310] F: Electromagnetic attraction

[0311] B: Magnetic flux density or magnetic induction intensity

[0312] Magnetic flux through a medium

[0313] S: Area of ​​magnetic field lines crossing magnetic poles

[0314] μ0: Air permeability

[0315] C: The correlation coefficient between the combination type and shape of the magnetic extreme end faces has different values ​​for different scenarios. If it is the force generated between two permanent magnets 51, it is usually taken as 1, and the accurate value is obtained through actual measurement in the actual design process; if it is the force between the permanent magnet and the conductor magnet (yoke), it is usually taken as 1 / 2, and the accurate value is obtained through actual measurement in the actual design process; if it is the force between two conductor magnets (yoke), it is denoted as [value missing], and it is usually taken as 1 / 4, and the accurate value is obtained through actual measurement in the actual design process.

[0316] 1) Magnetic domain to D j =(D 1,j D 2,j When j=1, that is, D1=(D 1, D 2,1 The corresponding resultant force F1 = -F 1,1 +F 2,1

[0317] The above formula is used to calculate the magnetic field D above. 1,1 and magnetic field D 2,1 The electromagnetic attraction in the middle includes:

[0318]

[0319] Among them, S D1,1 S D2,1 They are magnetic domain D 1,1 and D 2,1 The area of ​​the corresponding annular end face, and S D1,1 =S D2,1 =SD1 Therefore:

[0320]

[0321]

[0322] Among them are:

[0323]

[0324]

[0325] because

[0326] F1 = -F 1,1 +F 2,1

[0327] Then there is

[0328]

[0329] F 1，1，linear F 2，1，linear F 1，1，nonlinear F 1，1，nonlinear Substitute F respectively 1，linear and F 1，nonlinear The calculations are as follows:

[0330]

[0331] because

[0332]

[0333]

[0334] Therefore:

[0335]

[0336] Similarly, calculate F. 1，nonlinear ,

[0337]

[0338] Thus, the magnetic field affects D 1，1 and D 2，1 The corresponding resultant force is:

[0339]

[0340] 2) Magnetic domain to D j =(D 1，j D 2，j When j=2, that is, D2=(D 1，2 D 2，2The corresponding resultant force F2 = F 1，2 -F 2，2

[0341] The above formula is used to calculate the magnetic field D above. 1，2 and magnetic field D 2，2 The electromagnetic attraction in the middle includes:

[0342]

[0343] Among them, S D1，2 S D2，2 They are magnetic domain D 1，2 and D 2，2 The area of ​​the corresponding annular end face, and S D1，2 =S D2，2 =S D2 Therefore:

[0344]

[0345]

[0346] Among them are:

[0347]

[0348]

[0349] because

[0350] F2 = F 1，2 -F 2，2

[0351] Then there is

[0352] F2 = F 2，linear +F 2，nonlinear

[0353]

[0354] F 1，1，linear F 2，1，linear F 1，1，nonlinear F 1，1，nonlinear Substitute F respectively 1，linear and F 1，nonlinear The calculations are as follows:

[0355]

[0356] because

[0357]

[0358]

[0359] Therefore:

[0360]

[0361] Similarly, calculate F. 2，nonlinear ,

[0362]

[0363] Thus, the magnetic field affects D 1，1 and D 2，1 The corresponding resultant force is:

[0364] F2 = F 2，linear +F 2，nonlinear

[0365]

[0366] 3) Magnetic domain pair (D 1,j D 2,j When j=3, that is, D3=(D 1,3 D 2,3 The corresponding resultant force F3 = -F 1,3 +F 2,3

[0367] Calculate the magnetic field D above 1,3 and magnetic field D 1,3 The electromagnetic attraction in the middle includes:

[0368]

[0369] Among them, S D1,3 S D2,3 They are magnetic domain D 1,3 and D 2,3 The area of ​​the corresponding annular end face, and S D1,3 =S D2,3 =S D3 Therefore:

[0370]

[0371] Therefore,

[0372]

[0373] It can be obtained

[0374]

[0375] 4) Calculate the resultant force on the moving part assembly.

[0376] F 动子组件 =F1+F2+F3

[0377] F 动子组件 =F动子组件，linear +F 动子组件，nonlinear

[0378] all:

[0379]

[0380] F 动磁，nonlinear =F 1，nonlinear +F 2，nonlinear +F 3，nonlinear =0+0+0=0

[0381] From the above derivation process, the following characteristics can be observed:

[0382] 1) In the linear term of the resultant force, the magnetic field superimposes the component forces and their respective linear terms, so that the linear term of the resultant force and the coil current are still linearly related.

[0383] 2) In the resultant nonlinear term, the magnetic domain component force and its respective nonlinear term cancel each other out, so the resultant nonlinear term is zero.

[0384] We call the above design a hybrid solid iron + moving magnetic coil bone conduction oscillator or actuator design method with nonlinear term cancellation.

[0385] Example 5

[0386] Please refer to Figure 19A single-moving oscillator with nonlinear cancellation includes a single-moving oscillator body 11, which includes an outer cylinder 1, a transmission plate 3, a stator assembly 4, and a mover assembly 5. The stator assembly 4 includes an iron core assembly structure, and the mover assembly 5 includes a magnet coil assembly structure. The magnet coil assembly structure includes a permanent magnet 51, a coil 52, and a first magnetic conductor or a first non-magnetic conductor 53. The iron core assembly structure includes an iron core 41 and a second magnetic conductor or a second non-magnetic conductor 42. The magnet coil assembly structure also includes a magnetic ring 54. Viewed from the center outwards, the coil 52 is on the outside, and the permanent magnet 51 is on the inside. There are three permanent magnets 51, and the polarities of the two opposite end faces of adjacent permanent magnets 51 are the same. There are two coils 52, and the current directions in adjacent coils 52 are opposite. The electromagnetic field polarities of the two adjacent end faces of two adjacent coils 52 are the same. A vibrating plate 3 is provided, and the vibrating plate 3 is fixed to the bottom surface of the outer cylinder 1. The bottom surface of the inner cylinder 2 is fixed to the middle of the vibrating plate 3. The cross-section of the inner cylinder 2 is U-shaped, and the horizontal part of the inner cylinder 2 is parallel to the vibration direction. Two coils 52 are fixed on the horizontal part of the inner cylinder 2. A first magnetic conductor or a first non-magnetic conductor 53 is fixed between the two coils 52. A first magnetic ring 54 is provided on the outside of the coils 52. The permanent magnets 51 are respectively fixed on the first magnetic ring 54 and the two first magnetic conductors or first non-magnetic conductors 53. One end of the iron core 41 is fixed on the inner side of the top surface of the outer cylinder 1. The second magnetic conductor or a second non-magnetic conductor 42 is fixed in the middle of the iron core 41. A second magnetic ring 54 is also provided at the end of the iron core 41. The moving part assembly 5 and the stator assembly 4 are arranged in an interlocking shape with concave and convex shapes. The main magnetic lines of the coils 52 are closed curves. and The closed curves of the main magnetic field lines of the permanent magnet 51 alternately pass through the mover assembly 5 and the stator assembly 4, respectively. The moving magnet single oscillator body 11 has four magnetic domains D designed in pairs inside. 1,1 and D 2,1 D 1,2 and D 2,2 The closed curves of the main magnetic field lines of the coil 52 and the closed curves of the main magnetic field lines of the permanent magnet 51 respectively cross the magnetic domain D. 1,1 and D 2,1 And in the magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines of the coil 52 is the same as that of the permanent magnet 51, while in the magnetic domain D... 2,1 In the magnetic field, the direction of the magnetic field lines of the coil 52 is opposite to that of the permanent magnet 51, in the magnetic domain D 1,2 In the magnetic field, the direction of the magnetic field lines of the coil 52 is opposite to that of the permanent magnet 51, while in the magnetic domain D... 2,2In this configuration, the magnetic field lines of the coil 52 are in the same direction as the magnetic field lines of the permanent magnet 51.

[0387] Example 6

[0388] Please refer to Figure 1-21 According to the application of the parallel-type push-pull nonlinear cancelling moving magnetic coil single-acting oscillator of Example 1, the nonlinear cancelling moving magnetic coil single-acting oscillator obtained by the above design method is applied to bone conduction headphones, bone conduction glasses, wired headphones, wireless headphones, AR glasses, VR glasses, smartwatches, smart bracelets, head-mounted devices, wearable devices, smartphones, game controllers, game headsets, game steering wheels, game pedals, mice, keyboards, touch screens, electrical control panels, touch devices, screen sound devices, in-vehicle haptic feedback devices, smart cockpits, gaming chairs, massage chairs, massagers, haptic feedback vests, haptic feedback gloves, haptic feedback belts, haptic feedback leg devices, hearing aids, sleep aids, or haptic feedback network interconnection devices. When the above-mentioned nonlinear cancelling moving magnetic coil single-acting oscillator is used in the above products, it can convert electrical energy into mechanical energy, such as vibration or mechanical motion.

Claims

1. A single-moving magnetic coil oscillator with parallel magnetic coil push-pull nonlinear cancellation, characterized in that: The device includes a single-moving oscillator body with a moving magnetic coil. The single-moving oscillator body comprises an outer cylinder, a vibration transducer, a stator assembly, and a mover assembly. The stator assembly includes an iron core assembly structure, and the mover assembly includes a magnet coil assembly structure. The stator assembly is fixed inside the outer cylinder, and the vibration transducer is fixed to the bottom surface of the outer cylinder. The mover assembly and the vibration transducer are fixedly connected through at least one point. The mover assembly is referred to as the moving component. Looking outward from the center, the permanent magnet in the magnet coil assembly structure is inside, and the coil is outside. The electromagnetic force F exerted on the mover assembly is... 1,i and F 2,i The forces acting along the direction of vibration are opposite in direction, therefore their resultant forces ∑ i F 1,i and the combined force ∑ i F 2,i The forces acting along the direction of vibration are also opposite in direction. This combination of pushing and pulling forces forms a push-pull design; and in the final resultant force ∑ i (F 1,i +F 2,i In this process, the total resultant force partially or completely cancels out the nonlinear terms of the current, while the linear terms are superimposed and increase in size. The stiffness coefficient k2 of the vibration transducer is m1, m2, ω. r The function, i.e., k2=f(m1,m2,ω r ), where m1=m shell +m 铁芯组合结构 m2=m 磁铁线圈组合结构 ω r This is the system's target resonant frequency.

2. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 1, characterized in that: Modeling and solving vibration systems with a single-moving oscillator. Based on the system modeling above, the dynamic equations of the single-moving oscillator itself can be obtained as follows: in: make Where f r It is the electromagnetic interaction force between the moving and stating elements; Based on the vibration equation of a single-acting oscillator, its resonant frequency equation can be solved as follows: m1m2ω 2 -(m1+m2)k2=0 Solving for the given information Right now, 3. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 2, characterized in that: The number of permanent magnets and coils in the magnet-coil assembly structure is N, where the number of permanent magnets is N. 磁 The number of coils is N 圈 , making N 磁 >N 圈 Or N 磁 <N 圈 N 磁 For 1, 2, 3, ..., 100; N 圈 The values ​​are 1, 2, 3, ..., 100; the moving magnetic coil single-moving oscillator body has 2N magnetic domains D designed in pairs inside. 1,i and D 2,i N is 1, 2, 3, ..., 100, i = 1, 2, 3, ...

4. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 1, characterized in that: The closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively pass through the magnetic domain D. 1,i and D 2,i A magnetic field is a spatial region filled with electromagnetic energy, generally composed of air or a medium with low magnetic permeability (relative permeability <1000), including the region where the magnetic material is located; and within the magnetic field D... 1,i In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2,i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet; or in the magnetic domain D 1,i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,i In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

5. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 4, characterized in that: The moving component is subjected to 2N forces, where N = 1, 2, 3, ..., 100; each force comprises two parts: a linear term of the excitation current i and a nonlinear term of the excitation current i. F 动磁圈,n (i)=F 动磁圈,n,linear (i)+F 动磁圈,n,nonlinear (i), where n = 1, 2, 3, ..., 2N-1, 2N; The resultant force on the moving part also consists of two parts: a linear term of current i and a nonlinear term of current i. F 动磁圈,合力 (i)=F 动磁圈,合力,linear (i)+F 动磁圈,合力,nonlinear (i) in: F 动磁圈,合力,nonlinear (i)≡0, meaning the nonlinear terms in each component force cancel each other out to zero, then F 动磁圈,合力 (i)=F 动磁圈,合力,linear (i) means that the resultant force and the excitation current are always linearly related, thus obtaining a single moving magnetic coil oscillator with the nonlinear terms canceled out.

6. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 1, characterized in that: The magnet-coil assembly structure includes a permanent magnet, a coil, and a first magnetic conductor or a first non-magnetic conductor; the iron core assembly structure includes an iron core and a second magnetic conductor or a second non-magnetic conductor.

7. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 6, characterized in that: The moving part and the stator part are arranged in an interlocking, concave-convex shape, and the closed curve of the main magnetic field line of the coil and the closed curve of the main magnetic field line of the permanent magnet alternately pass through the moving part and the stator part, respectively.

8. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 7, characterized in that: N 磁 =(N 圈 +1)*n; n is a natural number, n = 1, 2, 3…; when N 磁 When N > 1, the polarity of the two opposite end faces of the permanent magnet is the same; when N 圈 When the value is greater than 1, the current in adjacent coils is in the opposite direction, and the electromagnetic fields of two adjacent coils and their two adjacent end faces have the same polarity.

9. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 7, characterized in that: N 磁 =(N 圈 -1)*n; n is a natural number, n = 1, 2, 3…; when N 磁 When N > 1, the polarity of the two opposite end faces of the permanent magnet is the same; when N 圈 When the value is greater than 1, the current in adjacent coils is in the opposite direction, and the electromagnetic fields of two adjacent coils and their two adjacent end faces have the same polarity.

10. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 7, characterized in that: A magnetic conductor is used near the outer cylinder of the coil to minimize the magnetic resistance of the magnetic circuit of the electromagnet formed by the coil; the permanent magnets are isolated from each other by a magnetic conductor; a yoke is used around the coil and the permanent magnets, or a magnetic outer cylinder is used near the outer cylinder of the coil.

11. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 9, characterized in that: The magnet coil assembly structure also includes a magnetic ring. Viewed from the center outwards, the coil is on the outside, and the permanent magnet is on the inside. There is one permanent magnet and two coils. The current directions in adjacent coils are opposite, and the electromagnetic field polarities of the two adjacent end faces of two adjacent coils are the same. One vibration transducer is provided and fixed to the bottom surface of the outer cylinder. The bottom surface of the inner cylinder is fixed to the middle of the vibration transducer. The cross-section of the inner cylinder is U-shaped, and the horizontal part of the inner cylinder is parallel to the vibration direction. The first magnetically conductive body or the first non-magnetically conductive body is fixed in the middle of the horizontal part of the inner cylinder, and the permanent magnet is fixed on the first magnetically conductive body or the first non-magnetically conductive body. The coils are respectively fixed on both sides of the first magnetic conductor or the first non-magnetic conductor. A magnetic ring is fixed to the outer side of each coil. Both coils and the magnetic ring are fixed to the horizontal part of the inner cylinder. One end of the iron core is fixed to the inner side of the top surface of the outer cylinder. The second magnetic conductor or the second non-magnetic conductor is fixed to one end of the iron core. The moving coil assembly and the stator assembly are arranged in an alternating, interlocking shape. The closed curves of the main magnetic lines of force of the coils and the closed curves of the main magnetic lines of force of the permanent magnet alternately pass through the moving coil assembly and the stator assembly. The moving magnetic coil single-moving oscillator body has four paired magnetic domains D. 1,1 and D 2,1， D 1,2 and D 2,2 The closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,1 and D 2,1 And in the magnetic domain D 1,1 In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,1 In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

12. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 10, characterized in that: The magnet coil assembly structure also includes a magnetic guide ring. Viewed from the center outwards, the coil is on the outside, and the permanent magnet is on the inside. There are two permanent magnets, with the polarities of their opposite end faces being the same. There is one coil. A vibration transducer is provided, fixed to the bottom surface of the outer cylinder. The bottom surface of the inner cylinder is fixed to the middle of the vibration transducer. The inner cylinder has a U-shaped cross-section, with its horizontal portion parallel to the vibration direction. The coil is fixed to the middle of the horizontal portion of the inner cylinder, and the first magnetic guide ring is fixed to both sides of the coil. The core is a first non-magnetic body, and the permanent magnet is fixed on each of the two first magnetic bodies or first non-magnetic bodies. One end of the core is fixed to the inner side of the top surface of the outer cylinder. The second magnetic body or second non-magnetic body is fixed to the middle of the core. The moving coil assembly and the stator assembly are arranged in an alternating concave-convex interlocking shape. The closed curve of the main magnetic field line of the coil and the closed curve of the main magnetic field line of the permanent magnet alternately pass through the moving coil assembly and the stator assembly. The moving magnetic coil single-moving oscillator body has four magnetic domains D designed in pairs inside. 1,1 and D 2,1， D 1,2 and D 2,2 The closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,1 and D 2,1 And in the magnetic domain D 1,1 In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,1 In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

13. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 9, characterized in that: The system comprises two permanent magnets, with the polarities of their opposite end faces being the same. It also comprises three coils, with the currents in adjacent coils flowing in opposite directions. The electromagnetic fields of adjacent end faces of two adjacent coils are of the same polarity. A vibration transducer is provided, fixed to the bottom surface of the outer cylinder. The bottom surface of the inner cylinder is fixed to the middle of the vibration transducer. The inner cylinder has a U-shaped cross-section, with its horizontal portion parallel to the vibration direction. The three coils are fixed to the horizontal portion of the inner cylinder. A first magnetic conductor or a first non-magnetic conductor is provided between adjacent coils. A [missing information - likely a design element] is provided on the outer side of the coils. The device has a first magnetic ring, and two permanent magnets are respectively fixed to the first magnetic or non-magnetic body. One end of the iron core is fixed to the inner side of the top surface of the outer cylinder. The second magnetic or non-magnetic body is fixed to one end of the iron core. A second magnetic ring is also provided in the middle of the iron core. The moving coil assembly and the stator assembly are arranged in an alternating concave-convex interlocking shape. The closed curve of the main magnetic field line of the coil and the closed curve of the main magnetic field line of the permanent magnet alternately pass through the moving coil assembly and the stator assembly. The moving magnetic coil single-moving oscillator body has 6 magnetic domains D designed in pairs inside. 1,1 and D 2,1 D 1,2 and D 2,2 D 1,3 and D 2,3 The closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,1 D 2,1 D 1,2 and D 2,2 In the magnetic domain D 1,1 In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2,1 In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet; in the magnetic domain D 1,2 In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,2 In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

14. The moving magnetic coil single-moving oscillator with parallel magnetic coil push-pull nonlinear cancellation according to claim 10, characterized in that: The magnet coil assembly structure also includes a magnetic guide ring. Viewed from the center outwards, the coils are on the outside, and the permanent magnets are on the inside. There are three permanent magnets, with the polarity of opposite end faces adjacent to each permanent magnet being the same. There are two coils, with the current directions of adjacent coils being opposite. The electromagnetic field polarity of adjacent end faces of two adjacent coils is the same. One vibration transducer is provided and fixed to the bottom surface of the outer cylinder. The bottom surface of the inner cylinder is fixed to the middle of the vibration transducer. The cross-section of the inner cylinder is U-shaped, and the horizontal part of the inner cylinder is parallel to the vibration direction. Two coils are fixed... The first magnetic conductor or the first non-magnetic conductor is fixed between the two coils on the horizontal part of the inner cylinder. A first magnetic ring is provided on the outside of the coil. The permanent magnet is fixed on the first magnetic ring and the two first magnetic conductors or the first non-magnetic conductors respectively. One end of the iron core is fixed on the inner side of the top surface of the outer cylinder. The second magnetic conductor or the second non-magnetic conductor is fixed in the middle of the iron core. A second magnetic ring is also provided at the end of the iron core. The moving part assembly and the stator assembly are arranged in an interlocking, concave-convex shape. The main magnetic lines of force of the coil are closed curves. and The closed curves of the main magnetic field lines of the permanent magnet alternately pass through the mover assembly and the stator assembly, respectively. The moving magnet coil single oscillator body has four magnetic domains D designed in pairs inside. 1,1 and D 2,1， D 1,2 and D 2,2 The closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,1 and D 2,1 And in the magnetic domain D 1,1 In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2,1 In the coil, the direction of the magnetic field lines is opposite to that of the permanent magnet, in the magnetic domain D 1,2 In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,2 In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

15. The application of the parallel-type push-pull nonlinear cancellation moving magnetic coil single-moving oscillator according to any one of claims 1-8, characterized in that: The aforementioned parallel-connected push-pull nonlinear cancelling moving magnetic coil single-moving oscillator is applied to bone conduction headphones, bone conduction glasses, wired headphones, wireless headphones, AR glasses, VR glasses, smartwatches, smart bracelets, head-mounted devices, wearable devices, smartphones, game controllers, game headsets, game steering wheels, game pedals, mice, keyboards, touch screens, electrical control panels, touch devices, screen sound devices, in-vehicle haptic feedback devices, smart cockpits, gaming chairs, massage chairs, massagers, haptic feedback vests, haptic feedback gloves, haptic feedback belts, haptic feedback leg devices, hearing aids, sleep aids, or haptic feedback network interconnection devices.

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