Plate & shell structures in aerospace vehicles exposed to a high-intensity random acoustic loading are often simultaneously exposed to an elevated thermal environment and some other mechanical force loading. The structures of aerospace vehicles may behave in a geometrically nonlinear (large deflection) random fashion to the imposed loads. The reduced-order analysis technique for analysis of nonlinear random dynamic response was reviewed. The reduced-order analysis method is described. The implementation of the reduced-order analysis technique for geometrically nonlinear dynamic random response with commercial finite element codes is presented. The further prospect of the technique and the application are discussed.%航空航天飞行器中的板壳结构在强噪声、高温和机械力载荷共同作用的环境中常会产生大振幅非线性随机振动响应,对非线性动态随机响应问题的模态降阶分析方法进行了综述。先介绍了模态降阶分析的基本原理,然后总结模态降阶技术的实现方法。分析每种方法的优缺点和适用范围,提出了目前研究存在的一些问题及今后的研究方向。
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