Lightweight high stiffness sandwich superstructure panel with ultra-low frequency bandgap and method of assembly

By introducing a quasi-zero stiffness-inertial amplification coupled resonant unit into a lightweight, high-stiffness sandwich superstructure plate, and utilizing a combination of levers and mass blocks, the problem of ultra-low frequency vibration control in the 0-10Hz range of lightweight, high-stiffness thick plates was solved, achieving ultra-low frequency vibration reduction.

CN119957646BActive Publication Date: 2025-12-26XI'AN PETROLEUM UNIVERSITY
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Patent Information

Application Number
CN202510190404.X
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2025-02-20
Publication Date
2025-12-26
Estimated Expiration
2045-02-20

AI Technical Summary

Technical Problem

Existing lightweight, high-rigidity thick plate structures are insufficient to effectively address the problem of ultra-low frequency vibration control in the 0-10Hz range. Traditional vibration reduction methods and superstructure design schemes are both unable to meet the requirements of ultra-low frequency vibration.

Method used

Design a lightweight, high-stiffness sandwich superstructure plate with an ultra-low frequency bandgap. By introducing a quasi-zero stiffness-inertial amplification coupled resonant unit, and utilizing a combination of levers and mass blocks, quasi-zero stiffness characteristics are achieved under external excitation. The mass is amplified and the oscillator is compressed, resulting in an ultra-low frequency vibration reduction effect.

Benefits of technology

It achieves ultra-low frequency vibration control in the 0-10Hz range, and has the characteristics of being lightweight, high stiffness, and thick. It can effectively suppress ultra-low frequency vibration and reduce the bandgap range, avoiding the defects of traditional methods that require pre-displacement.

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Abstract

The application discloses a lightweight high-rigidity sandwich superstructure plate with an ultralow frequency band gap and an assembling method. The structural plate comprises a plurality of frame units arranged in a rectangular array, wherein each frame unit comprises a support frame, a base plate and a quasi-zero stiffness-inertial amplification coupled resonant unit, the support frame is connected between two base plates, and the quasi-zero stiffness-inertial amplification coupled resonant unit is arranged on the support frame and comprises a lever, a quasi-zero stiffness resonator and a mass block, the lever is hinged to the support frame, the quasi-zero stiffness resonator is located below one end of the lever and comprises a support piece, two positive stiffness elements, two negative stiffness elements and a connecting plate, the support piece is connected to the base plate, the two positive stiffness elements are vertically and symmetrically arranged at two ends of the support plate, the two negative stiffness elements are respectively connected to the inner sides of one end of the two positive stiffness elements, the mass block is connected to the other end of the lever, and the connecting plate is connected between the two negative stiffness elements, so that active control of bending wave vibration in an ultralow frequency range in engineering can be realized.
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Description

TECHNICAL FIELD

[0001] The present application relates to the field of mechanical vibration, in particular to a light high-rigidity sandwich superstructure plate with ultralow-frequency band gap and an assembling method. BACKGROUND

[0002] In the manufacturing, operation and maintenance process of equipment, the vibration control level has become an important influencing factor and evaluation index. Especially with the development of equipment towards high speed, light weight, large size, heavy load and extreme environment operation, the vibration problem in the operation process of equipment is increasingly prominent. Strong vibration seriously reduces the performance of equipment, has an important influence on the safe operation of instruments and equipment, and can directly lead to serious accidents such as loss of control, load failure, structure fatigue fracture, explosion and disintegration. As a problem to be solved in the process of high-end equipment manufacturing and application, vibration control has been widely studied in basic disciplines and engineering applications in recent years. Among them, ultralow-frequency vibration is usually paid more attention to because of its longer wavelength, longer propagation distance, slower energy attenuation, stronger penetration ability, smaller attenuation caused by damping and greater harm of ultralow-frequency noise to human life and production.

[0003] And the plate structure is a basic support and protection unit widely used in engineering, widely exists in the cabin structure of vehicles such as automobiles, ships, trains and aircraft, and is also an important support and protection component of large working machines such as high-speed precision machine tools. While bearing various loads, it is not only the main carrier of vibration generation and transmission, but also the main transmission path and direct radiation sound source of noise. Therefore, the plate structure has always been the focus of research in the field of vibration control of engineering structures, and it is required to have high support stiffness while having good vibration and noise reduction performance. Existing research shows that the sandwich structure based on honeycomb, corrugated and other structures has natural characteristics of light weight and high stiffness, but does not have new vibration band gap characteristics.

[0004] In actual engineering, the plate structure is mainly used for support and protection, and it needs to bear various loads and simultaneously generate and transmit vibration in work. Therefore, the plate structure is usually designed with high stiffness and large thickness. However, for the widely used light high-rigidity thick plate structure, neither the traditional vibration reduction method nor the latest design scheme based on superstructure can effectively solve the problem of ultralow-frequency vibration control in the range of 0-10Hz. SUMMARY

[0005] The purpose of the present application is to provide a light high-rigidity sandwich superstructure plate with ultralow-frequency band gap and an assembling method, which can effectively solve the problem of ultralow-frequency vibration control of the plate structure in the range of 0-10Hz.

[0006] The technical scheme of the present application is:

[0007] A lightweight high-stiffness sandwich superstructure plate with ultralow frequency band gap, comprising a plurality of frame units arranged in a rectangular array and closely connected between adjacent frame units, each frame unit comprising: a support frame and two base plates arranged symmetrically above and below; the support frame is a cylindrical support connected between the two base plates at a position offset from the center, further comprising: a quasi-zero stiffness-inertia amplification coupling resonance unit arranged on the support frame, comprising: a lever, a plate structure, the lever is hinged with the support frame to enable the two ends of the lever to move up and down with the hinge of the support frame as the center; a quasi-zero stiffness oscillator fixed on the lower base plate and below one end of the lever, the quasi-zero stiffness oscillator comprising: a support, a plate structure, horizontally connected to the lower base plate; two positive stiffness elements symmetrically arranged at both ends of the support plate, the positive stiffness elements are arranged vertically with the base plate; two negative stiffness elements are respectively connected to the inner side of one end of the two positive stiffness elements, the two negative stiffness elements are symmetrically arranged and inclined to the middle position of the two positive stiffness elements; a connecting plate connected between the two negative stiffness elements, the connecting plate is connected with the lever by adhesive connection for load transmission; a mass block connected to the other end of the lever. When the end of the lever connected by the connecting plate is vertically downwardly displaced to compress the oscillator, the negative stiffness element will appear buckling deformation with the continuous increase of compression, thereby generating negative stiffness physical properties, i.e. force decreases with the increase of displacement; when the end of the lever connected by the connecting plate is vertically downwardly displaced to compress the oscillator, the positive stiffness element will also deform along the outside of the positive stiffness element with the continuous increase of compression, but this deformation belongs to the deformation of positive stiffness characteristics, i.e. force increases with the increase of displacement, thereby the negative stiffness characteristics generated by the buckling deformation of the negative stiffness element and the positive stiffness characteristics generated by the deformation of the positive stiffness element are combined to realize quasi-zero stiffness characteristics; due to the presence of the lever in the sandwich superstructure plate, when subjected to external excitation, the lever produces vertical displacement with the hinge as the center, amplifies the mass while compressing the oscillator to realize quasi-zero stiffness characteristics, and further realizes ultralow frequency vibration reduction, which is a complete process, thereby avoiding the defect of traditional quasi-zero stiffness that requires to apply pre-displacement when realizing low frequency vibration reduction, further reducing the band gap range on the basis of the original low frequency band gap to obtain an ultralow frequency band gap.

[0008] Further, the support frame is provided with a reserved hole, and the lever is provided with a through hole, and the lever and the support frame are connected by a hinge arranged between the through hole and the reserved hole.

[0009] Further, the two positive stiffness elements, two negative stiffness elements and the connecting plate are all rubber plates, which are soft and have small stiffness, so that low-frequency band gaps are easily realized, and the buffering performance is good and energy is easily absorbed; the support plate and the base plate are made of aluminum material; and the mass block is made of steel material.

[0010] Further, the support plate, the two positive stiffness elements, the two negative stiffness elements and the connecting plate in the quasi-zero stiffness vibrator are connected by bonding.

[0011] Further, the mass block is a rectangular block.

[0012] Further, the adjacent frame units are connected through the base plates, and the base plates of the adjacent frame units are connected through bonding.

[0013] Further, the lever is connected at the middle position of the mass block.

[0014] Further, an assembly method of a lightweight high-stiffness sandwich superstructure plate with an ultralow-frequency band gap comprises the following steps:

[0015] The base plates are arranged on the upper and lower surfaces of the support frame, respectively, and the assembly technology mainly adopts welding / pasting or casting into an integrated structure, so that the frame unit structure combined by the base plate and the support frame has the characteristics of lightweight and high stiffness;

[0016] The assembled frame units are periodically arranged along the x and y directions to form a periodic frame plate structure; and the frame units are welded / pasted or cast to form the periodic frame plate structure during the periodic arrangement; the frame plate structure has the characteristics of lightweight, high stiffness and thick size (thick plate), that is, it has strong support protection function, but has no vibration band gap characteristics, that is, it cannot be damped;

[0017] The quasi-zero stiffness-inertial amplification coupling resonance unit is assembled into the frame unit to form a sandwich superstructure plate unit; in the unit, the quasi-zero stiffness vibrator of the quasi-zero stiffness-inertial amplification coupling resonance unit is seamlessly assembled with the base plate by bonding, and the support frame and the lever are hinged at the opening position, so that the two ends of the lever can move up and down with the opening position as the center;

[0018] The sandwich superstructure plate units are periodically arranged along the x and y directions to form a sandwich superstructure plate for actual engineering damping. The sandwich superstructure plate is a lightweight high-stiffness thick-size damping superstructure plate with ultralow-frequency vibration band gap characteristics, and the sandwich superstructure plate units are welded / pasted or cast to form a new type of frame plate structure during the periodic arrangement. The sandwich superstructure plate structure has the characteristics of lightweight, high stiffness and thick size (thick plate), that is, it has strong support protection function, and at the same time has ultralow-frequency vibration band gap characteristics, and can be used for actual engineering damping.

[0019] Compared with the prior art, the present application has the advantages that:

[0020] The present application aims at the problem that it is difficult to realize vibration control in the ultra-low frequency (0-10 Hz) range for a light high-rigidity sandwich super-structure plate, introduces the quasi-zero stiffness principle and the inertial amplification principle into the design of the light high-rigidity sandwich super-structure plate, proposes a quasi-zero stiffness and inertial amplification coupled resonant unit with the characteristics of "high static low dynamic stiffness" and "small mass to realize large inertia", and constructs a sandwich super-structure plate with the characteristics of light high-rigidity ultra-low frequency vibration reduction, which has the practical characteristics of light weight, high rigidity, large plate thickness, simple structure, etc., and has the ultra-low frequency (0-10 Hz) vibration band gap characteristics, and the bending wave vibration thereof can be significantly suppressed in the band gap frequency range. In addition, the lever representing the inertial amplification principle exists in the sandwich super-structure plate, and when subjected to external excitation, the lever amplifies the mass while compressing the resonator to realize the quasi-zero stiffness characteristics, thereby realizing the ultra-low frequency vibration reduction, which is a complete process, thereby avoiding the defect that the traditional quasi-zero stiffness needs to apply a pre-displacement when realizing low-frequency vibration reduction. By actively designing the structural parameters of the plate, the bending wave vibration in the ultra-low frequency range in engineering is actively controlled, thereby effectively solving the technical problem of the traditional light high-rigidity thick plate protection structure in the ultra-low frequency (0-10 Hz) vibration control. BRIEF DESCRIPTION OF DRAWINGS

[0021] Figure 1 It is a perspective view of the structural schematic diagram of the present application.

[0022] Figure 2 It is a frame unit structural schematic diagram of the present application.

[0023] Figure 3 It is a quasi-zero stiffness resonator structural schematic diagram of the present application.

[0024] Figure 4 It is a quasi-zero stiffness-inertial amplification coupling principle schematic diagram of the present application.

[0025] Figure 5 It is a band structure diagram of the present application.

[0026] Figure 6 It is a transmission characteristic diagram (0-50 Hz) of the present application.

[0027] Figure 7 It is a transmission characteristic diagram (0-15 Hz) of the present application.

[0028] Figure 8 It is a lever principle inertial amplification structural schematic diagram.

[0029] Figure 9 It is a quasi-zero stiffness resonator static balance position schematic diagram.

[0030] Figure 10 Schematic diagram of static analysis of quasi-zero stiffness resonator.

[0031] Figure 11 Schematic diagram of out-of-plane excitation transmission process in the band gap range of the present application.

[0032] Wherein, 1, frame unit, 2, support frame, 3, base plate, 4, quasi-zero stiffness-inertial amplification coupling resonator unit, 5, lever, 6, quasi-zero stiffness vibrator, 61, support, 62, positive stiffness element, 63, negative stiffness element, 64, connecting plate, 7, mass block. DETAILED DESCRIPTION

[0033] The specific embodiments of the present application will be described in detail below. Figures 1 to 11 In the description of the present application, it should be understood that the terms "center", "upper", "lower", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer" and the like indicate the orientation or positional relationship based on the orientation or positional relationship shown in the drawings, and are only for the convenience of describing the present application and simplifying the description, and therefore cannot be understood as indicating or implying that the devices or elements referred to must have a particular orientation, be constructed and operated in a particular orientation, and therefore cannot be understood as limiting the present application.

[0034] The terms "first", "second" are only for descriptive purposes and cannot be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Therefore, the features defined with "first", "second" can explicitly or implicitly include one or more of the features; in the description of the present application, unless otherwise stated, the meaning of "multiple" is two or more.

[0035] EMBODIMENT

[0036] As Figure 1 shown, a lightweight high-stiffness sandwich superstructure plate with ultralow frequency band gap includes: a plurality of frame units 1, and the plurality of frame units 1 are arranged in a rectangular array, and the adjacent frame units 1 are tightly connected, as Figure 2 shown, each frame unit 1 includes: a support frame 2, two base plates 3 and a quasi-zero stiffness-inertial amplification coupling resonator unit 4, the two base plates 3 are symmetrically arranged in position; the support frame 2 is a column-shaped support connected between the two base plates 3, located at a position offset from the center of the two base plates 3; the quasi-zero stiffness-inertial amplification coupling resonator unit 4 is arranged on the support frame 2, as Figure 2As shown, the quasi-zero stiffness-inertial amplification coupling resonant unit 4 comprises a lever 5, a quasi-zero stiffness resonator 6 and a mass block 7. The lever 5 is a plate structure and is hinged to the support frame 2 so that the two ends of the lever 5 can move up and down with the hinge of the support frame 2 as the center. The quasi-zero stiffness resonator 6 is fixed on the plate surface of the lower base plate 3 and is located below one end of the lever 5, as shown in Figure 3 As shown, the quasi-zero stiffness resonator 6 comprises a support 61, two positive stiffness elements 62, two negative stiffness elements 63 and a connecting plate 64. The support 61 is a plate structure and is horizontally connected to the plate surface of the lower base plate 3. The two positive stiffness elements 62 are symmetrically arranged at the two ends of the support plate, and the positive stiffness elements 62 are arranged perpendicularly to the base plate 3. The two negative stiffness elements 63 are respectively connected to the inner side of one end of the two positive stiffness elements 62, and the two negative stiffness elements 63 are symmetrically arranged and inclined to the middle position of the two positive stiffness elements 62. The connecting plate 64 is connected between the two negative stiffness elements 63, and the connecting plate 64 is pasted between the lever 5 to transfer the load. The mass block 7 is a rectangular block and is connected to the other end of the lever 5. When the end of the lever 5 pasted with the connecting plate 64 produces a vertical downward displacement to compress the resonator, the negative stiffness element 63 appears buckling deformation with the continuous increase of compression, thereby generating a negative stiffness physical property, i.e. the force decreases with the increase of displacement. When the end of the lever 5 pasted with the connecting plate 64 produces a vertical downward displacement to compress the resonator, the positive stiffness element 62 also deforms along the outer side of the positive stiffness element 62 with the continuous increase of compression, but the deformation belongs to the deformation of the positive stiffness property, i.e. the force increases with the increase of displacement. Thus, the negative stiffness property generated by the buckling deformation of the negative stiffness element 63 and the positive stiffness property generated by the deformation of the positive stiffness element 62 are combined to realize the quasi-zero stiffness property. Due to the existence of the lever 5 in the sandwich superstructure plate, when subjected to external excitation, the lever 5 produces vertical displacement of the left and right ends with the hinge as the center, amplifies the mass while compressing the resonator to realize the quasi-zero stiffness property, and further realizes the super-low frequency vibration reduction. This process is completed at one time, thereby avoiding the defect that the traditional quasi-zero stiffness needs to apply a pre-displacement when realizing low-frequency vibration reduction. On the basis of the original low-frequency band gap, the band gap range is further reduced to obtain a super-low frequency band gap.

[0037] As shown in Figure 2 The support frame 2 is provided with a reserved hole, and the lever 5 is provided with a through hole. The lever 5 and the support frame 2 are connected through the hinge arranged between the through hole and the reserved hole. When subjected to external excitation, the lever 5 produces vertical displacement of the left and right ends with the hinge as the center, amplifies the mass while compressing the resonator to realize the quasi-zero stiffness property, and further realizes the super-low frequency vibration reduction.

[0038] In some embodiments, the two positive stiffness elements 62, the two negative stiffness elements 63 and the connecting plate 64 are all rubber plates, the support plate and the base plate 3 are made of aluminum material, and the mass 7 is made of steel material. The stiffness elements 62, the negative stiffness elements 63 and the connecting plate 64 made of rubber material are soft in material and small in stiffness, which is easy to realize low-frequency band gap, has good buffering performance and is easy to absorb energy.

[0039] In some embodiments, in order to facilitate processing and manufacturing, the support plate, the two positive stiffness elements 62, the two negative stiffness elements 63 and the connecting plate 64 in the quasi-zero stiffness oscillator 6 are connected by bonding. In actual processing, in order to further reduce the experimental error, the support plate, the two positive stiffness elements 62, the two negative stiffness elements 63 and the connecting plate 64 in the quasi-zero stiffness oscillator 6 can also be prepared by integral molding technology, so that the support plate, the two positive stiffness elements 62, the two negative stiffness elements 63 and the connecting plate 64 in the quasi-zero stiffness oscillator 6 form an integral whole, thereby reducing the experimental error.

[0040] In some embodiments, adjacent frame units 1 are connected by the base plate 3, and the base plates 3 of adjacent frame units 1 are connected by bonding.

[0041] In some embodiments, the lever 5 is connected at the middle position of the mass 7, so that the masses of the left and right parts of the mass 7 connected by the lever 5 are uniform, preventing the generation of torque on the lever due to the uneven mass of the left and right parts of the mass 7, which affects the actual effect.

[0042] The assembly method of the lightweight high-stiffness sandwich superstructure plate with ultra-low frequency band gap in this embodiment includes the following steps:

[0043] The frame unit 1 is assembled, and the base plate 3 is arranged on the upper and lower surfaces of the support frame 2, respectively. The assembly technology mainly adopts welding / pasting or casting to form an integral structure, so that the frame unit 1 combined by the base plate 3 and the support frame 2 has the characteristics of lightweight and high stiffness;

[0044] The assembled frame units 1 are arranged periodically along the x and y directions to form a periodic frame plate structure, and the frame units 1 are welded / pasted or cast to form the periodic frame plate structure during the periodic arrangement. The frame plate structure has the characteristics of lightweight, high stiffness and thick size, that is, it has strong support and protection function, but has no vibration band gap characteristic, that is, it cannot be damped;

[0045] The quasi-zero stiffness-inertial amplification coupling resonance unit is assembled into the frame unit 1 to form a sandwich superstructure plate unit; in the unit, the quasi-zero stiffness vibrator 6 of the quasi-zero stiffness-inertial amplification coupling resonance unit is seamlessly assembled with the base plate 3 by bonding, and the support frame 2 and the lever 5 are hinged at the opening position to enable the two ends of the lever 5 to move up and down with the opening position as the center;

[0046] The sandwich superstructure plate unit is periodically arranged along the x and y directions to form a sandwich superstructure plate for actual engineering vibration reduction. The sandwich superstructure plate is a lightweight high-stiffness thick-size vibration reduction type superstructure plate with super-low frequency vibration band gap characteristics, and the sandwich superstructure plate unit adopts welding / pasting or casting to form a new type of frame plate structure during periodic arrangement. The sandwich superstructure plate structure has the characteristics of lightweight, high stiffness, thick size and thick plate, that is, it has strong support protection function, and at the same time has super-low frequency vibration band gap characteristics, and can be used for actual engineering vibration reduction.

[0047] As shown in Figure 8 , the lever structure can adjust the inertial amplification effect through the arm length ratio, and in Figure 8 , the lever structure has only one free end, and according to the force analysis and Newton's second law, the relationship of each part of the end point is as follows:

[0048] u l l2=u r l1

[0049] Let R = l2 / l1 R = l2 / l1, then

[0050]

[0051] From the above derivation of the formula, it can be seen that Figure 8 the coefficient between the force and acceleration of the end point of the two mechanisms in may be greater than the true mass of the structure, which has the effect of inertial amplification.

[0052] Figure 4 The differential equation of free vibration of the lever structure in

[0053] is:

[0054] Therefore, the natural frequency of the lever structure is:

[0055]

[0056] where F l is the inertial force at the left end of the lever, u l is the displacement at the left end of the lever, u r is the displacement at the right end of the lever, l1 is the distance between the left end of the lever and the fulcrum, l2 is the distance between the right end of the lever and the fulcrum, K is the spring stiffness, and ¨ur is the acceleration of the right end of the lever, is the acceleration of the left end of the lever, R is the arm length ratio, m is the mass of the mass block 7, and ω0 is the natural frequency of the lever structure. As deduced above, the deduced inertial mass has the same properties in the system in motion as the real mass, which can effectively reduce the natural frequency of the structure.

[0057] Figure 9 and Figure 10 The principle of the quasi-zero stiffness resonator is shown. When the mass vibrates around the static equilibrium position, the two inclined springs provide negative stiffness in the vertical direction to offset the positive stiffness of the vertical spring. The mass can only vibrate in the vertical direction, and the inclined spring deforms symmetrically relative to the vertical spring. As shown in Figure 10 , the restoring force of the quasi-zero stiffness resonator can be obtained by static force analysis.

[0058]

[0059] In the above formula, f is the restoring force; y is the displacement of the mass from the static force equilibrium position, as shown in Figure 10 ; k v and k o are the stiffness of the vertical spring and the inclined spring, respectively; l is the original length of the inclined spring; a is the deformation length of the inclined spring at the static equilibrium position, and a < l. Using the dimensionless restoring force is:

[0060]

[0061] where α = k o / k v represents the ratio of the stiffness of the inclined spring to the stiffness of the vertical spring; is the dimensionless restoring force; is the dimensionless displacement of the mass from the static force equilibrium position; As mentioned above, the stiffness of the vertical spring can be partially or completely offset by the negative stiffness mechanism. Let η (0 ≤ η ≤ 1) be the proportion of the remaining stiffness of the resonator at the vertical direction static equilibrium position after the negative stiffness mechanism is offset, then the restoring force can be rewritten as:

[0062]

[0063] By taking the derivative of the above expression for the dimensionless displacement , the dimensionless stiffness of the quasi-zero stiffness resonator is obtained as:

[0064]

[0065] In order to reduce the stiffness of the resonator and thus reduce the bandgap, the stiffness can be offset by a proportion of 1-η. The formula is:

[0066]

[0067] At the static equilibrium position , the dimensionless stiffness of the resonator is reduced from 1 to η. At , there is a unique relationship between the parameters η, α and :

[0068]

[0069] Equation (6) provides a physical expression related to the parameters k v , k o , a and l. Substituting equation (6) into equations (3) and (4), the restoring force and stiffness of the quasi-zero stiffness resonator are obtained after a portion of the stiffness of the quasi-zero stiffness resonator is offset by a factor of 1-η, as follows. It is worth noting that only at the static equilibrium position , the stiffness is η, and increases with the increase of displacement .

[0070]

[0071] As shown in Figure 4 , the lightweight high-stiffness sandwich superstructure plate with ultra-low frequency bandgap of the embodiment combines the quasi-zero stiffness principle shown in Figure 9 and Figure 10 and the inertial amplification principle shown in Figure 8 . Not only does it have the characteristics of lightweight, high stiffness, and thick size (thick plate), but it can also be used for practical engineering structure support protection applications. In combination with the quasi-zero stiffness principle and the inertial amplification principle, the quasi-zero stiffness-inertial amplification coupled resonator unit is introduced, and through the combination and assembly of periodic arrangement, the plate structure of the embodiment not only has lightweight high-stiffness thick size, but also has the out-of-plane excitation transmission process shown in Figure 11 , the structure diagrams corresponding to the bandgap opening and closing positions of A and B are shown in Figure 4 , and the modal shapes corresponding to the bandgap opening and closing positions of A and B in Figure 5 are shown in Figure 4 . As shown in Figure 5 , Figure 6 and Figure 7 .As shown, the semi-structure of the embodiment has the characteristics of ultra-low frequency (0-10 Hz) vibration band gap, that is, the plate structure can suppress the ultra-low frequency (0-10 Hz) vibration in engineering, and the vibration outside the band gap range of 15-50 Hz is also in a state of continuous attenuation. In addition, due to the presence of the lever in the sandwich superstructure plate, when subjected to external excitation, the lever produces vertical displacement at the left and right ends with the hinge as the center, amplifies the mass while compressing the oscillator to achieve quasi-zero stiffness characteristics, thereby realizing ultra-low frequency vibration reduction, thereby avoiding the defect that the traditional quasi-zero stiffness needs to apply a pre-displacement when realizing low-frequency vibration reduction.

[0072] The above disclosure is only a few preferred specific embodiments of the present application, but the embodiments of the present application are not limited thereto, and any changes that can be thought of by those skilled in the art shall fall within the protection scope of the present application.

Claims

1. A lightweight high stiffness sandwich superstructure panel with ultra-low frequency bandgap, characterized by, The utility model relates to a kind of frame unit (1) and frame unit (1) are connected to form frame plate structure, including: Multiple frame units (1), multiple frame units (1) are arranged in rectangular array, and adjacent frame units (1) are closely connected, and each frame unit (1) includes: support frame (2) and two base plates (3), two base plates (3) are symmetrically arranged in upper and lower positions; Support frame (2) is connected between two base plates (3), and is located at the position deviated from the center of two base plates (3);And Quasi-zero stiffness-inertial amplification coupling resonance unit, the quasi-zero stiffness-inertial amplification coupling resonance unit is arranged on the support frame (2), including: Lever (5), plate body structure, the lever (5) is hinged with the support frame (2), so that the two ends of lever (5) can move up and down with the hinge of support frame (2) as center; Quasi-zero stiffness vibrator (6), fixed on the board surface of lower base plate (3), and located below one end of the lever (5), the quasi-zero stiffness vibrator (6) includes: support plate (61), plate body structure, horizontally connected on the board surface of lower base plate (3);Two positive stiffness elements (62) are symmetrically arranged at the two ends of the support plate, and the positive stiffness element (62) is vertically arranged with the base plate (3);Two negative stiffness elements (63) are respectively connected to the inner side of one end of two positive stiffness elements (62), and two negative stiffness elements (63) are symmetrically arranged, and are inclined to the middle position of two positive stiffness elements (62);Connecting plate (64) is connected between two negative stiffness elements (63), and the connecting plate (64) is pasted between the lever (5), for transmitting load; Mass block (7) is connected to the other end of the lever (5); The support frame (2) is provided with a reserved hole, the lever (5) is provided with a through hole, and the lever (5) and the support frame (2) are connected through the hinge arranged between the through hole and the reserved hole; The lever (5) is connected to the middle position of the mass block (7).

2. A lightweight high stiffness sandwich superlattice panel with ultra-low frequency bandgap according to claim 1, characterized in that, The two positive stiffness elements (62), two negative stiffness elements (63) and connecting plate (64) are all rubber plates, the support plate and base plate (3) are made of aluminum material, and the mass block (7) is made of steel material.

3. A lightweight high stiffness sandwich superlattice panel with ultra-low frequency bandgap according to claim 1, characterized in that, The support plate, two positive stiffness elements (62), two negative stiffness elements (63) and connecting plate (64) in the quasi-zero stiffness vibrator (6) are connected by bonding.

4. A lightweight high stiffness sandwich superlattice panel with ultra-low frequency bandgap according to claim 1, characterized in that, The mass block (7) is a rectangular block.

5. A lightweight high stiffness sandwich superlattice panel with ultra-low frequency bandgap according to claim 1, characterized in that, Adjacent frame units (1) are connected through base plate (3), and the base plate (3) of adjacent frame units (1) is connected with base plate (3) through bonding.

6. A method of assembling a lightweight high stiffness sandwich superstructure panel having an ultra-low frequency bandgap as claimed in claim 1, characterised in that, Including the following steps: Assemble frame unit (1), arrange base plate (3) on the upper and lower surfaces of support frame (2) respectively, so that the frame unit (1) structure combined by base plate (3) and support frame (2) has the characteristics of light weight and high stiffness; Periodically arrange the assembled multiple frame units (1) along x and y directions to form periodic frame plate structure; The quasi-zero stiffness-inertial amplification coupling resonance unit is assembled into the frame unit (1) to form a sandwich superstructure plate unit; in the unit, the quasi-zero stiffness vibrator (6) of the quasi-zero stiffness-inertial amplification coupling resonance unit is seamlessly assembled with the base plate (3) by bonding, and the support frame (2) and the lever (5) are hinged at the opening position to enable the lever (5) to move up and down with the opening position as the center of the two ends; The sandwich superstructure plate unit is arranged periodically along the x and y directions to form a sandwich superstructure plate, which is used for actual engineering vibration reduction.

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