中国空间科学技术

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高频随机响应分析中的一种有限元网格细化标准

王跃宇   

  1. 中国空间技术研究院 北京100094
  • 发布日期:2005-10-25

One Sort of Finite Element Mesh Size Criteria for Structural High-frequency Random Response Analysis

Wang Yueyu(China Academy of Space Technology,Beijing 100094)   

  • Online:2005-10-25

被引次数

12

摘要： 根据波动理论,满足随机响应工程计算精度要求的有限元网格大小与待求高频随机响应问题的频率范围上限有关。提出了一种新的有限元网格细化标准———三分之一波动细化标准。以简支板高频加速度响应分析为例,通过NASTRAN分析结果与解析解的对比验证了其有效性。

关键词: 有限元法, 随机振动, 响应, 航天器结构, 分析

Abstract: According to wave motion theory,finite element mesh size satisfying the needs of engineering calculating precision is relevant to the upper limit of frequency range of random(response) problems.A new criterion of finite element mesh size——one third mesh size criterion——is(presented) according to wave motion theory.Taking high-frequency acceleration response analysis of simple support square plate as an example,the contrast between NASTRAN numerical results and the closed form solution reveals the effectiveness of this criterion in the high frequency random(response) finite element analysis.