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郭凡浩, 杜敬涛, 刘杨. 具有任意阻抗边界的驻波热声压电系统的声学与俘能特性求解及参数研究. 力学学报, 2023, 55(8): 1761-1773. DOI: 10.6052/0459-1879-23-160
引用本文: 郭凡浩, 杜敬涛, 刘杨. 具有任意阻抗边界的驻波热声压电系统的声学与俘能特性求解及参数研究. 力学学报, 2023, 55(8): 1761-1773. DOI: 10.6052/0459-1879-23-160
Guo Fanhao, Du Jingtao, Liu Yang. Characterization solving and parametric study of the acoustic and energy generation of standing wave thermoacoustic piezoelectric harvester with general impedance boundaries. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(8): 1761-1773. DOI: 10.6052/0459-1879-23-160
Citation: Guo Fanhao, Du Jingtao, Liu Yang. Characterization solving and parametric study of the acoustic and energy generation of standing wave thermoacoustic piezoelectric harvester with general impedance boundaries. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(8): 1761-1773. DOI: 10.6052/0459-1879-23-160

具有任意阻抗边界的驻波热声压电系统的声学与俘能特性求解及参数研究

CHARACTERIZATION SOLVING AND PARAMETRIC STUDY OF THE ACOUSTIC AND ENERGY GENERATION OF STANDING WAVE THERMOACOUSTIC PIEZOELECTRIC HARVESTER WITH GENERAL IMPEDANCE BOUNDARIES

  • 摘要: 文章为任意阻抗边界条件下热声压电俘能系统的声学特性和俘能特性提供一种新的求解方案. 热声压电俘能系统包含任意阻抗边界、热缓冲管、板叠、谐振管和俘能元件, 当板叠两侧温差达到临界温差时, 工质流体在板叠处发生热声耦合振荡, 进而引起压电薄膜发生形变, 为外接负载提供电能. 振荡频率、声压实部和流速虚部的模态分布称为热声压电俘能系统的声学特性, 负载俘获的当量化能量称为热声压电俘能系统的俘能特性. 文章在验证边界光滑傅里叶级数和Galerkin法稳定性和可靠性基础上, 预报驻波热声压电俘能系统的声学特性和俘能特性, 研究热声管长、外接负载和边界阻抗对声学特性和俘能特性的影响规律. 研究表明, 驻波热声压电系统振荡频率与热声管长呈反比; 外接负载与系统存在阻抗匹配关系, 但过高的负载会使系统失去俘能能力; 且管长和边界阻抗对振荡频率的影响可以分为高敏感区、低敏感区和阻抗失效区, 同时发现边界阻抗范围内存在“声学特性一致阻抗带”, 因此在设计热声压电俘能系统时可根据不同的需求和应用场景选择其工作区带. 本研究可快速预报热声压电俘能系统的声学特性和俘能特性, 并为通过改变结构参数或阻抗边界调控系统声学特性和俘能特性、拓宽压电能量采集频带提供参考.

     

    Abstract: Finding a new solution for the acoustic and energy generation characteristics of the thermoacoustic piezoelectric energy harvester with general impedance boundaries is the core task of the paper. The thermoacoustic piezoelectric energy harvester includes a general impedance boundary, the hot buffer, stack, resonant tube, and energy harvester element. When the temperature difference on both sides of the stack reaches the critical temperature difference, the working fluid undergoes thermoacoustic coupling oscillation at the stack, causing deformation of the piezoelectric film and providing electrical energy for the external load. The modal distribution of the oscillation frequency, the real part of the acoustic pressure, and the imaginary part of the flow velocity are called the acoustic characteristics of the thermoacoustic piezoelectric energy harvester, while the equivalent quantized energy captured by the load is called the energy generation characteristic of the thermoacoustic piezoelectric energy harvester. Based on verifying the stability and reliability of the smooth Fourier series and Galerkin method, the paper applies this method to solve the acoustic characteristics and energy generation characteristics of the thermoacoustic piezoelectric energy harvester and explores the law of the effect of pipe length, external load, and boundary impedance on acoustic and energy generation characteristics. The studies show that the oscillation frequency of the thermoacoustic piezoelectric energy harvester is inversely proportional to the length of the tube. There is an impedance-matching relationship between the external load and the system, but excessive external loads will cause the system to lose its energy capture capability. Besides, the influences of pipe length and boundary impedance on the acoustic characteristics of the thermoacoustic piezoelectric energy harvester can be divided into high sensitivity, low sensitivity, and impedance failure zones, and an " acoustic characteristic identical impedance band " is found in the boundary impedance range. Hence the operating region can be chosen according to different demands and applications when designing the thermoacoustic piezoelectric energy harvester. The research achievements of the paper can provide a rapid prediction of the acoustic and energy generation characteristics of the thermoacoustic piezoelectric energy harvester and give a reference for regulating the acoustic and energy generation characteristics of the system by changing structural parameters or impedance boundaries and expanding the frequency band of piezoelectric energy collection.

     

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