中文摘要：

基于有限元法、边界元法和虚拟激励法,对随机激励下结构振动声辐射灵敏度分析及优化设计问题进行研究。有限元法用于计算结构谐振响应,边界元法用于计算结构振动声辐射,虚拟激励法结合有限元和边界元计算随机激励下结构振动声辐射问题。提出随机激励下结构振动声辐射问题的优化模型及求解算法流程,重点推导了其灵敏度分析公式。数值算例验证了灵敏度分析的准确性及优化求解算法的有效性。

英文摘要：

Based on FEM,BEM and PEM（pseudo excitation method）,acoustic radiation sensitivity analysis and design optimization from random excited structures are investigated in this paper.FEM is used to calculate structural responses,and BEM is used to calculate structural acoustic radiation.PEM combined with FEM and BEM is used to solve the problem on random acoustic radiation.Design optimization model and optimization algorithm flow are presented,and the sensitivity analysis formula are derived on emphasis.Numerical examples show the accuracy of sensitivity and the effectiveness of solved algorithm.