考虑动荷载响应的结构形状优化设计研究

  • 摘要: 以产生相同位移场为基础,将动荷载转化为一系列的等效静荷载,然后将这些等效静荷载作为多个载荷工况进行有限元优化设计分析. 通过几个算例的验证,表明这种基于动荷载等效转换的算法能够反映动荷载对结构的动力响应,对具有大规模自由度的结构形状优化问题是有效的.

     

    Abstract: In structural optimization, applied loads are usually assumed to be static for most practical applicationseven though in a dynamic case. The results show that the static optimizationusing a dynamic factor cannot properly account for the effects of a dynamic response. Thepresent study performs the dynamic response optimization with equivalent staticloads, which generate the same displacement field as that under dynamicloads. This algorithm is a transformation of a dynamic load into a set ofequivalent static loads and a subsequent static response optimization with thetransformed equivalent static loads as a multiple load case. Variousexamples are solved to verify the algorithm. The results are compared tothose under static loads. It is found that the algorithm is valid for verylarge-scale shape optimization problems.

     

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