Duffing振子型结构声系统中声能量非互易传递的建模和实验研究

Modeling and experimental study of non-reciprocal acoustic energy transfer in vibro-acoustic Duffing oscillator

声能量非互易传递机理及声非互易系统构建是近年来声学领域的研究热点.本文开展了由非线性薄膜和两个不同尺寸声腔组成的实验系统中声能量非互易传递的实验研究.该系统利用简化为Duffing振子的薄膜频响函数的不对称性,实现了声能量的非互易传递.采用复化平均法获得系统频响函数的渐近解,理论计算结果与实验测量结果吻合.理论计算和实验结果表明:该系统理论上存在最大9.1倍的非互易量,实验测得的最大非互易量为4.3倍,归一化跳变区频率带宽为0.56.研究结果揭示了实验系统中声能量非互易传递机理,为实现空气介质声系统中声能量的非对称传递提供了一种新方法.

Mechanisms for the nonreciprocal transmission of acoustic energy and the construction of non-reciprocal vibro-acoustic systems have been subjects of intense research in recent years.An experimental study of acoustic nonreciprocal transmission in an experimental system with a nonlinear membrane and two acoustic cavities of different sizes is reported.The membrane can be simplified into a Duffing oscillator,and the asymmetry of the frequency response function of this oscillator is used to realize the non-reciprocal transmission of acoustic energy.The asymptotic solution of the frequency response function of the nonlinear membrane is obtained by the complexification-averaging method.The theoretical simulation results accord well with the experimental results.The results show that the experimental system has a maximum non-reciprocal quantity of 9.1 times in theory,4.3 times in the experiment,and the normalized frequency bandwidth of the jump phenomenon region is up to 0.56.The research results reveal the mechanism of non-reciprocal transfer of acoustic energy in the experimental system and demonstrate a new way to realize the asymmetric transfer of acoustic energy in an acoustic system with an air medium.