结构随机振动有限元/边界元法声学数值仿真

Study of Acoustic Numerical Simulation for Structure Random Vibration Based on FEM/BEM

建立了结构振动的有限元模型和声学分析的边界元模型,基于边界元法推导了声学响应函数的计算公式,利用声学响应函数和激励谱密度推导了设计域点响应声压的自谱密度函数.以平板稳态振动声辐射为研究算例,计算了1~200 Hz的声学频率响应函数,并计算了系统受常谱密度和变谱密度随机载荷激励的声学响应.理论推导和实例结果表明,基于边界元法的声学响应函数可有效的求解随机声场.

A finite element model of structure vibration and boundary element model for acoustic radiation analysis are established,the acoustic frequency response function is deduced based on FEM/BEM,and the acoustic pressure response feature is formulated by acoustic response function and the spectral density function of the stimulating load.The results of a random vibration plate example show that the FEM/BEM is effective for the acoustic simulation of structure random vibration and the acoustic response feature of random vibration depend on the acoustic response function and the spectral density function of stimulating load.