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

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.