Shape sensitivity analysis of sequential structural–acoustic problems using FEM and BEM
Shape sensitivity analysis of sequential structural–acoustic problems using FEM and BEM
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DOI：
10.1016/j.jsv.2005.03.013
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发表时间：
2006-02
影响因子：
4.7
通讯作者：
Nam-Ho Kim;Jun Dong
中科院分区：
文献类型：
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作者：
Nam-Ho Kim;Jun Dong
本文提出了一种用序贯有限元和边界元方法求解结构-声学问题的形状设计灵敏度公式。频率响应分析用于获得结构的动力特性，而边界元分析用于求解声学域的压力响应。结果表明，伴随法是一种非常有效的灵敏度计算方法，它与响应分析方向相反。此外，还证明了形状设计问题的伴随方程与尺寸设计问题的伴随方程是相同的。唯一的区别是计算灵敏度系数的数值积分。将结构的半解析法与声腔的解析微分法相结合，得到了一种非常实用的形状设计灵敏度公式。灵敏度信息的准确性进行了比较，分析灵敏度，以及使用有限差分法计算的灵敏度。
A shape design sensitivity formulation for structural–acoustic problems using sequential finite element and boundary element methods is presented. Frequency-response analysis is used to obtain the dynamic behavior of the structure, while boundary element analysis is used to solve for the pressure response of the acoustic domain. It is shown that the adjoint method, which takes the reverse direction to response analysis, provides a very efficient way of sensitivity calculation. In addition, it has been shown that the adjoint equation for the shape design problem is the same as that of the sizing design problem. The only difference is the numerical integration that evaluates the sensitivity coefficient. The combination of the semi-analytical method for the structure and the analytical differentiation method for the acoustic cavity yields a very practical approach for the shape design sensitivity formulation. The accuracy of the sensitivity information is compared with the analytical sensitivity as well as the sensitivity calculated using the finite difference method.