小阻尼空间声学特征频率灵敏度分析与优化设计

Sensitivity analysis and design optimization of acoustic eigenfrequency for lightly damped cavities

小阻尼声空间的优化设计可以使声空间布局更为合理,从而改进空腔声学性能.根据三维空间声学波动方程及其边界条件,给出了声学有限元方程,在此基础上建立小阻尼空间声学问题的优化模型,重点推导声场特征频率对声空间边界形状控制参数的灵敏度分析公式,同时给出了优化求解算法.在JIFEX软件中进行了程序实现,数值算例分别验证了有限元计算、灵敏度分析和优化算法的有效性.

The design optimization of lightly damped cavities makes the more reasonable layout and improves the acoustic capability of the cavities. Based on the control differential equation and boundary conditions of three dimensional cavity acoustics, the numerical methods of finite element analysis, sensitivity calculation, and design optimization of the lightly damped cavity acoustic problems are studied. The sensitivity analysis and design optimization methods of eigenfrequencies with respect to shape parameters are applied to the interior noise problem for lightly damped cavities. The numerical methods have been implemented in the large-scale engineering finite element analysis and optimization software system - JIFEX. The examples verify the accuracy and efficiency of the finite element analysis, sensitivity analysis and design optimization method.