Vibration device resonance model establishment method based on sound wave evolution

Abstract

The invention discloses a method for establishing a resonance model of a vibration device based on sound wave evolution, and the method comprises the steps: analyzing the energy evolution of sound waves in the vibration device from the perspective of sound energy transmission and evolution; the resonance mechanism of the vibration device is explained based on two levels of a single reflection period and a multi-reflection period and two aspects of a frequency effect and an amplification effect. Firstly, a mapping method, namely a frequency effect, of a mechanical structure influenced by frequency and electrical parameters is established; analyzing a resonance mechanism, namely an amplification effect, influenced by material characteristics and assembly conditions; and finally, establishing a wave energy equivalent model of the resonance process of the reaction device by using the equivalent circuit diagram through a wave energy loss model of the wave in the total reflection period. According to the invention, the energy flow and loss mechanism in the vibration process of the device can be disclosed more accurately, the theoretical requirements of performance optimization and structural design of the device can be met better, and the device can be widely applied to the application fields of medical ultrasound, precision machining and the like.

Description

Technical Field

[0001] This invention relates to the field of vibration engineering, and in particular to a method for establishing a resonance model of a vibration device based on acoustic wave evolution. Background Technology

[0002] Currently, the analysis of vibration propagation and energy loss in vibrating devices mostly employs modeling methods based on dynamic models. These models primarily establish the mathematical relationship between the device's input parameters (such as frequency, amplitude, and load) and response, and construct the system's mechanical vibration equations using Newton's laws or Lagrange's equations. A common approach is to simplify the transducer-amplifier-tool head system into a second-order "mass-spring-damped" vibration system, and obtain the natural frequencies and vibration modes by solving its characteristic equations.

[0003] In modeling energy loss, traditional methods often employ equivalent circuit models. A typical approach is the Mason equivalent circuit modeling method, which equates the electromechanical coupling behavior of a device to a circuit composed of inductors, capacitors, and resistors, where the resistance term reflects the energy loss of the entire system. However, this type of modeling method cannot distinguish in detail the sources of loss in different structural parts.

[0004] Furthermore, existing models primarily analyze the vibration generation process of the device from a mechanical perspective, neglecting the wave characteristics of sound waves propagating, reflecting, and superimposing between multiple structural interfaces within the device. In reality, after sound waves are emitted from the transducer, they undergo multiple reflections and transmissions through various structural stages such as the amplitude transformer, flange, and tool head, ultimately forming high-amplitude vibrations in the tool tip region. Traditional dynamic models fail to reveal the influence mechanism of different structural interfaces on the superposition effect of sound waves, resulting in discrepancies between theoretical analysis results and actual vibration responses.

[0005] Meanwhile, existing dynamic models are generally applicable to ideal boundary and homogeneous material conditions, making it difficult to effectively evaluate the actual performance of vibration systems under complex media environments or multi-component assembly errors, which seriously restricts the application value of the models in engineering design and performance prediction. Summary of the Invention

[0006] The technical problem to be solved by the present invention is to address the deficiencies involved in the background art by providing a method for establishing a resonance model of a vibration device based on sound wave evolution.

[0007] To solve the above-mentioned technical problems, the present invention adopts the following technical solution:

[0008] A method for establishing a resonance model of a vibration device based on acoustic wave evolution includes the following steps:

[0009] Step 1), from the perspective of sound energy propagation and evolution, divide the energy evolution process of sound waves in the vibrating device into several single reflection periods;

[0010] Step 2), within the single reflection period, calculate the damping loss caused by material damping and treat it as equivalent to resistance. ;

[0011] Step 3) Within the single reflection period, calculate the radiation loss caused by the flange constraint. When the mechanical wave node is located before the flange constraint point, the radiation loss is equivalent to an inductance. When the mechanical wave node is located after the flange constraint point, the radiation loss is equivalent to capacitance. When the mechanical wave joint is located at the flange constraint point, the radiation loss is equivalent to resistance. ;

[0012] Step 4) Within several consecutive single reflection cycles, analyze the accumulation process of sound wave energy. Combining the input energy, the damping loss of a single reflection cycle, and the radiation loss of a single reflection cycle, the resonance model of the vibration device is divided into five stages for modeling: the initiation stage, the amplification stage, the stabilization stage, the decay stage, and the depletion stage. The energy flow relationship of each stage is as follows:

[0013] Energy input during the oscillation stage Damping loss energy Radiation loss of energy and the energy stored in the current cycle The relationship is:

[0014] ;

[0015] The energy relationship inside the vibrating device during the amplification stage is as follows:

[0016] ;

[0017] In the formula, The number of cycles in the wave energy evolution. , These represent the energy stored in the previous cycle and the energy stored in the current cycle, respectively. The energy stored in the previous cycle;

[0018] The energy relationships during the stable phase are as follows:

[0019] ;

[0020] The energy relationships during the decay phase are as follows:

[0021] ;

[0022] The energy relationships during the depletion phase are as follows:

[0023] .

[0024] As a method for establishing a resonance model of a vibration device based on acoustic wave evolution according to the present invention, the damping loss in step 2) is the damping loss generated by the rear cover plate, front cover plate, amplitude transformer, and tool head.

[0025] As a method for establishing a resonance model of a vibration device based on acoustic wave evolution in this invention, N is set to 50.

[0026] Compared with the prior art, the present invention, employing the above technical solution, has the following technical effects:

[0027] 1. This invention, starting from the perspective of sound energy propagation and evolution, innovatively explains the resonance mechanism from two levels: single reflection period and multiple reflection period, combining frequency effect and amplification effect. It breaks through the limitations of traditional research perspectives, enabling a more comprehensive and in-depth understanding of the resonance essence of vibrating devices, and providing a more scientific approach for model construction.

[0028] 2. At the single reflection period level, the flange radiation loss is characterized as the reactance formed by the combination of capacitor and inductor in the circuit. The mapping relationship between mechanical structure and electrical parameters is established, which realizes the accurate quantification of frequency effect. This solves the problem that the mechanical structure characteristics are difficult to directly correlate with electrical parameters for analysis, and improves the accuracy of energy loss analysis during resonance.

[0029] 3. By constructing a wave energy loss model within the total reflection period and combining it with the energy evolution Sankey diagram, an equivalent wave energy model is proposed. This model intuitively and systematically reflects the wave energy changes during the resonance process of the device. It can effectively guide the structural optimization design of the vibration device, and can adjust relevant parameters in a targeted manner to reduce energy loss, amplify the device amplitude, and significantly improve the device performance.

[0030] 4. The vibration device designed based on the method of this invention can meet the requirements of high precision and high efficiency in fields such as medical ultrasound and precision machining, and has broad application prospects. Attached Figure Description

[0031] Figure 1 It is the wave energy equivalent model of the vibration device. Detailed Implementation

[0032] The technical solution of the present invention will be further described in detail below with reference to the accompanying drawings:

[0033] This invention can be implemented in many different forms and should not be considered limited to the embodiments described herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully express the scope of the invention to those skilled in the art. In the drawings, components are enlarged for clarity.

[0034] This invention discloses a method for establishing a resonance model of a vibration device based on sound wave evolution, comprising the following steps:

[0035] First, from the perspective of sound energy propagation and evolution, the energy evolution process of sound waves in the vibrating device is divided into several single reflection periods.

[0036] When a sound wave propagates within a vibrating device for one cycle, the energy loss mainly consists of two parts: one is the damping attenuation of the sound wave as it propagates through the solid material. Secondly, there is the radiation loss of mechanical wave energy at the boundary or interface. The remaining energy is stored inside the device; these two types of losses are collectively referred to as mechanical wave impedance loss.

[0037] Among them, damping attenuation Damping loss mainly caused by the rear cover plate Damping loss generated by the front cover plate Damping loss generated by the amplitude transformer Damping loss generated by the tool head The composition, this part of the loss can be represented by a resistor. express;

[0038] Radiation loss Generated at the fixed constraint flange in the vibration device, it exhibits different energy loss characteristics under mechanical waves of different frequencies. Specifically, since the mechanical constraint of the vibration device is fixed, while the node positions of mechanical waves at different frequencies vary, when the node of the mechanical wave is before the mechanical constraint point, as the frequency decreases, the wavelength of the mechanical wave decreases, and the resulting radiation loss decreases, which can be equivalent to an inductance. When the nodes of a mechanical wave are located after the mechanical constraint point, as the frequency increases, the wavelength of the mechanical wave decreases, resulting in reduced radiation loss, which can be equivalent to a capacitor. When the nodes of the mechanical wave are at the mechanical constraint point, the vibrating device is in a resonant state, and the radiation loss is zero. However, since the flange thickness cannot be zero, the radiation loss still exists and remains unchanged, and can be equivalent to a resistance. Therefore, radiation loss can be represented by an equivalent circuit consisting of a capacitor, an inductor, and a resistor connected in series. Furthermore, this phenomenon of energy loss variation caused by frequency changes is defined as the frequency effect.

[0039] Since energy input and loss are continuous during the operation of the vibrating device, it is also necessary to analyze the energy evolution of the sound wave during multiple reflection cycles. Similar to the single reflection cycle, energy loss is still due to damping loss. and radiation loss The remaining energy after loss accumulates continuously inside the device, which manifests as a continuous increase in the amplitude of the vibrating device. This phenomenon of increased amplitude due to energy accumulation is defined as the amplification effect.

[0040] Based on the above analysis, the vibration of the device can be divided into four stages from the start to the end of vibration: the initiation stage, the amplification stage, the stabilization stage, the decay stage, and the depletion stage. Its wave energy equivalent model is as follows: Figure 1 As shown, the energy flow relationships at each stage are as follows:

[0041] The first stage is the oscillation initiation phase, during which the energy input... Damping loss energy Radiation loss of energy and the energy stored in the current cycle The relationship is:

[0042] ;

[0043] Then comes the amplification stage. During the multi-cycle wave energy evolution, the energy of the vibrating device continuously accumulates. At this point, the energy relationship inside the vibrating device is as follows:

[0044] ;

[0045] In the formula, The number of cycles in wave energy evolution is preferred, preferably 50. , These represent the energy stored in the previous cycle and the energy stored in the current cycle, respectively. The energy stored in the previous cycle;

[0046] During the steady phase, the amplitude of the vibrating device remains constant, and the energy stored in the previous cycle is consistent with that in the current cycle. The energy relationship at this time is:

[0047] ;

[0048] When the power supply stops energizing the device, the device enters the decay phase. In this phase, after each single-cycle evolution, there is still energy remaining, which manifests as a gradual decrease in the device's amplitude. The energy relationship at this time is:

[0049] ;

[0050] Finally, there is the exhaustion stage, which is also the last stage of the decay phase. At this point, all the energy of the vibrating device is dissipated through losses. The energy relationship at this time is:

[0051] ;

[0052] It will be understood by those skilled in the art that, unless otherwise defined, all terms used herein (including technical and scientific terms) have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains. It should also be understood that terms such as those defined in general dictionaries should be understood to have the same meaning as in the context of the prior art, and should not be interpreted in an idealized or overly formal sense unless defined as herein.

[0053] The specific embodiments described above further illustrate the purpose, technical solution, and beneficial effects of the present invention. It should be understood that the above description is only a specific embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A method for establishing a resonance model of a vibration device based on sound wave evolution, characterized in that, Includes the following steps: Step 1), from the perspective of sound energy propagation and evolution, divide the energy evolution process of sound waves in the vibrating device into several single reflection periods; Step 2), within the single reflection period, calculate the damping loss caused by material damping and treat it as equivalent to resistance. ; Step 3) Within the single reflection period, calculate the radiation loss caused by the flange constraint. When the mechanical wave node is located before the flange constraint point, the radiation loss is equivalent to an inductance. ; When the mechanical wave node is located after the flange constraint point, the radiation loss is equivalent to capacitance. ; When the mechanical wavelet node is located at the flange constraint point, the radiation loss is equivalent to a resistance. ; Step 4) Within several consecutive single reflection cycles, analyze the accumulation process of sound wave energy. Combining the input energy, the damping loss of a single reflection cycle, and the radiation loss of a single reflection cycle, the resonance model of the vibration device is divided into five stages for modeling: the initiation stage, the amplification stage, the stabilization stage, the decay stage, and the depletion stage. The energy flow relationship of each stage is as follows: Energy input during the oscillation stage Damping loss energy Radiation loss of energy and the energy stored in the current cycle The relationship is: ; The energy relationship inside the vibrating device during the amplification stage is as follows: In the formula, The number of cycles in the wave energy evolution. , These represent the energy stored in the previous cycle and the energy stored in the current cycle, respectively. The energy stored in the previous cycle; The energy relationships during the stable phase are as follows: ; The energy relationships during the decay phase are as follows: ; The energy relationships during the depletion phase are as follows: .

2. The method for establishing a resonance model of a vibration device based on acoustic wave evolution as described in claim 1, characterized in that, The damping loss in step 2) is the damping loss generated by the rear cover plate, front cover plate, amplitude rod and tool head.

3. The method for establishing a resonance model of a vibration device based on acoustic wave evolution as described in claim 1, characterized in that, N is set to 50.

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