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CN-122027958-A - Control method and system of nonlinear acoustic transducer based on Aubry-Mather set

CN122027958ACN 122027958 ACN122027958 ACN 122027958ACN-122027958-A

Abstract

The invention discloses a control method and a control system of a nonlinear acoustic transducer based on Aubry-Mather set, and belongs to the technical field of acoustic transducers. Firstly, constructing a nonlinear vibration model for describing nonlinear vibration of a vibration membrane of a transducer based on Aubry-Mather set theory, secondly, carrying out regional piezoelectric driving and dynamic phase regulation based on the nonlinear vibration model to simulate a quasi-periodic fluctuation mode, secondly, constructing a multi-vibration membrane collaborative vibration system based on fluctuation characteristics disclosed by the nonlinear vibration model, realizing quasi-periodic superposition of sound waves by optimizing the spatial layout of the vibration membrane, and finally, integrating MEMS (micro-electromechanical system) technology and nonlinear materials based on rigidity parameters in the nonlinear vibration model, and realizing equivalent nonlinear rigidity on a physical device by gradient polarization design. The invention effectively improves the dynamic adaptability, the energy transfer efficiency and the high-frequency output performance of the transducer in a wide frequency band range, and is particularly suitable for high-frequency acoustic application scenes such as ultrasonic imaging and the like.

Inventors

  • MIAO XUEQING
  • HAN MENGYU
  • Yan Jiukai

Assignees

  • 南通大学

Dates

Publication Date
20260512
Application Date
20251216

Claims (10)

  1. 1. A control method of a nonlinear acoustic transducer based on Aubry-Mather sets is characterized by comprising the following steps: S1, constructing a nonlinear vibration model for describing nonlinear vibration of a transducer diaphragm based on Aubry-Mather set theory; S2, based on the nonlinear vibration model, carrying out regional piezoelectric driving and dynamic phase regulation so as to simulate a quasi-periodic fluctuation mode; s3, constructing a multi-diaphragm collaborative vibration system based on the fluctuation characteristics disclosed by the nonlinear vibration model, and realizing quasi-periodic superposition of sound waves by optimizing the space layout of diaphragms; s4, based on the rigidity parameter in the nonlinear vibration model, integrating MEMS technology and nonlinear materials, and realizing equivalent nonlinear rigidity on a physical device through gradient polarization design.
  2. 2. The method for controlling a nonlinear acoustic transducer based on Aubry-Mather set according to claim 1, wherein step S1 specifically includes: S1-1, based on a Duffing equation, combining Aubry-Mather set theory to establish a nonlinear equation of the transducer: ; where x represents the displacement of the diaphragm of the transducer, Is a positive real number, and the output is a real number, , Are all continuous and micro-functional on R, Is R is of period Is a continuous function of (2); S1-2, analyzing the existence of a quasi-periodic solution through parity assumption and a period forcing term, and optimizing the vibration response characteristic of the vibrating diaphragm.
  3. 3. The method for controlling a nonlinear acoustic transducer based on Aubry-Mather set according to claim 2, wherein step S2 specifically includes: S2-1, dividing the piezoelectric layer into a central electrode and edge electrodes, and optimizing sound field distribution through electrode shape and layout, wherein the central electrode covers the central area of the piezoelectric layer and is used for exciting a main vibration mode, the edge electrodes are distributed on the periphery of the piezoelectric layer, and the sound wave divergence angle is increased through geometric shapes to enlarge bandwidth; s2-2, simulating quasi-periodic fluctuation characteristics of Aubry-Mather sets through inverse driving and dynamic phase regulation, applying a driving signal with the phase of 0 DEG to a central electrode, and applying a signal with the phase of 180 DEG to an edge electrode to form inverse vibration superposition; S2-3, utilizing a sound field superposition effect to enable a main vibration wave generated by the center electrode to interfere with a secondary wave generated by the edge electrode, simulating a quasi-periodic solution in Aubry-Mather set theory by adjusting a phase difference and an electrode distance, enhancing fluctuation of a zigzag electrode, combining a bimodal vibration design, exciting a thickness vibration mode through the center electrode, exciting a radial vibration mode through the edge electrode, and expanding a frequency response range through mode coupling.
  4. 4. A method for controlling a nonlinear acoustic transducer based on Aubry-Mather set according to claim 3, wherein step S3 specifically comprises: S3-1, adopting high-strength light materials, axially connecting a plurality of round or rectangular vibrating diaphragms, wherein the vibrating diaphragms are arranged at specific intervals, and the intervals are optimized through Aubry-Mather set theory; s3-2, forming an air cavity by using a baffle plate with a conical structure, wherein the conical structure is used for guiding sound waves to propagate towards a specified direction and reducing the probability of standing wave formation in the cavity, air is forced to vibrate in the conical cavity to generate nonlinear compression waves, the sound propagation process of the nonlinear compression waves is described by a nonlinear sound wave equation, and the geometric boundary condition of the conical cavity is solved by a finite difference method.
  5. 5. The method for controlling a nonlinear acoustic transducer based on Aubry-Mather set according to claim 4, wherein the nonlinear acoustic wave equation is: ; Wherein the method comprises the steps of The sound pressure is represented by a sound pressure, Representing sound pressure For time of day Is used for the first partial derivative of (c), Is constant, at standard atmospheric pressure and 20C, ≈343m/s, Is the Laplacian, describing sound pressure The distribution and curvature in space, determine the fundamental way in which sound waves diffuse and propagate to the surroundings, Is a nonlinear coefficient.
  6. 6. The control method of the nonlinear acoustic transducer based on the Aubry-Mather set is characterized in that the step S4 specifically comprises the steps of manufacturing a high-density vibrating diaphragm by utilizing an MEMS technology, analyzing a fluctuation propagation mode of an array through the Aubry-Mather set to realize high-resolution output of high-frequency acoustic signals, introducing gradient polarization design into a piezoelectric material through a non-uniform polarization piezoelectric layer design, and simulating nonlinear stiffness parameters in theory.
  7. 7. A control system for a nonlinear acoustic transducer based on Aubry-Mather set, comprising: The nonlinear vibration modeling module is configured to execute the following procedures of constructing a nonlinear vibration model for describing nonlinear vibration of the transducer diaphragm based on Aubry-Mather set theory; The quasi-periodic fluctuation simulation module is configured to perform zonal piezoelectric driving and dynamic phase regulation based on the nonlinear vibration model so as to simulate a quasi-periodic fluctuation mode; The multi-diaphragm collaborative vibration system construction module is configured to execute the following processes of constructing a multi-diaphragm collaborative vibration system based on the fluctuation characteristics revealed by the nonlinear vibration model, and realizing quasi-periodic superposition of sound waves by optimizing the spatial layout of the diaphragms; And the nonlinear stiffness physical realization module is configured to execute the following flow of integrating a micro-electromechanical system (MEMS) process and nonlinear materials based on stiffness parameters in the nonlinear vibration model and realizing equivalent nonlinear stiffness on a physical device through gradient polarization design.
  8. 8. A computer-readable storage medium, on which a computer program is stored, characterized in that the program, when executed by a processor, implements the control method according to any one of claims 1 to 6.
  9. 9. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that the computer program is executed to implement the steps of the method according to any of claims 1 to 6.
  10. 10. A computer program product comprising computer programs/instructions which, when executed by a processor, implement the steps of the method of any of claims 1 to 6.

Description

Control method and system of nonlinear acoustic transducer based on Aubry-Mather set Technical Field The invention relates to the technical field of acoustic transducers, in particular to a control method and a control system of a nonlinear acoustic transducer based on Aubry-Mather set. Background Existing acoustic transducers, such as MEMS technology (Micro Electro MECHANICAL SYSTEMS, microelectromechanical system) piezoelectric transducers, have a frequency response range that is limited by the physical structure and size, and their dynamic response typically spreads around a single natural resonant frequency. For example, conventional designs achieve a multi-frequency response by adjusting the size or shape of the diaphragm, but can only cover discrete frequency points, and cannot achieve continuous broadband coverage, resulting in inefficiency in complex sound fields. The core contradiction is that the physical structure is immobilized due to the limitation of the processing technology, the multi-frequency requirement (such as the switching of high-frequency imaging and low-frequency penetration required by medical ultrasound) is difficult to dynamically adapt, the nonlinear effect is not fully optimized, the nonlinear effect (such as energy loss and harmonic distortion) of the sound wave in the medium propagation is required to be dynamically regulated, and the traditional linear model cannot effectively solve the problems. Disclosure of Invention The invention aims to solve the technical problems of providing a control method and a control system of a nonlinear acoustic transducer based on Aubry-Mather set, which are characterized in that a nonlinear vibration model is established, a quasi-periodic fluctuation mode is simulated by combining a zoned piezoelectric driving structure design and phase regulation, a multi-diaphragm collaborative vibration system is constructed, MEMS technology and nonlinear materials are integrated, and nonlinear stiffness parameters in theory are simulated. In order to solve the problems, the invention adopts the following technical scheme: Firstly, the invention provides a control method of a nonlinear acoustic transducer based on Aubry-Mather set, which comprises the following steps: S1, constructing a nonlinear vibration model for describing nonlinear vibration of a transducer diaphragm based on Aubry-Mather set theory; S2, based on the nonlinear vibration model, carrying out regional piezoelectric driving and dynamic phase regulation so as to simulate a quasi-periodic fluctuation mode; s3, constructing a multi-diaphragm collaborative vibration system based on the fluctuation characteristics disclosed by the nonlinear vibration model, and realizing quasi-periodic superposition of sound waves by optimizing the space layout of diaphragms; s4, based on the rigidity parameter in the nonlinear vibration model, integrating MEMS technology and nonlinear materials, and realizing equivalent nonlinear rigidity on a physical device through gradient polarization design. Preferably, step S1 specifically includes: S1-1, based on a Duffing equation, combining Aubry-Mather set theory to establish a nonlinear equation of the transducer: ; where x represents the displacement of the diaphragm of the transducer, Is a positive real number, and the output is a real number,,Are all continuous and micro-functional on R,Is R is of periodIs a continuous function of (2); S1-2, analyzing the existence of a quasi-periodic solution through parity assumption and a period forcing term, and optimizing the vibration response characteristic of the vibrating diaphragm. Preferably, step S2 specifically includes: S2-1, dividing the piezoelectric layer into a central electrode and edge electrodes, and optimizing sound field distribution through electrode shape and layout, wherein the central electrode covers the central area of the piezoelectric layer and is used for exciting a main vibration mode, the edge electrodes are distributed on the periphery of the piezoelectric layer, and the sound wave divergence angle is increased through geometric shapes to enlarge bandwidth; S2-2, simulating quasi-periodic fluctuation characteristics of Aubry-Mather set through inverse driving and dynamic phase regulation, specifically, applying a driving signal with a phase of 0 DEG to a central electrode and applying a signal with a phase of 180 DEG to an edge electrode to form inverse vibration superposition; S2-3, simulating a quasi-periodic fluctuation mode, namely, utilizing a sound field superposition effect to enable a main vibration wave generated by a central electrode to interfere with a secondary wave generated by an edge electrode, simulating a quasi-periodic solution in Aubry-Mather set theory by adjusting a phase difference and an electrode distance, enhancing fluctuation of a zigzag electrode, combining a bimodal vibration design, exciting a thickness vibration mode through the central electrode, exciting a radi