中国机械工程 ›› 2016, Vol. 27 ›› Issue (05): 688-693.

• 科学基金 • 上一篇    下一篇

基于全局动态应力解空间谱单元插值的关键时间点识别

张艳岗;毛虎平;苏铁熊;李坤;王军   

  1. 中北大学,太原,030051
  • 出版日期:2016-03-10 发布日期:2016-03-11
  • 基金资助:
    国家自然科学基金资助项目(51275489)
    National Natural Science Foundation of China(No. 51275489)

Critical Time Point  Identification  for  Global Dynamic Stress Based on Spectral Element Interpolation  of  Solution  Space

Zhang Yangang;Mao  Huping;Su Tiexiong;Li  Kun;Wang Jun   

  1. North University  of  China,Taiyuan,030051
  • Online:2016-03-10 Published:2016-03-11
  • Supported by:
    National Natural Science Foundation of China(No. 51275489)

摘要:

针对结构动态响应优化中动态分析的复杂性与高耗时性问题,提出了基于全局动态应力解空间谱单元插值的关键点识别方法,找到结构动态响应下最危险的时刻。首先利用模态叠加法,获得结构的模态应力分布,并计算全局动态应力解空间,然后利用谱单元离散动态应力绝对极大值点曲线,采用Lagrange插值并调用区域细分全局优化求解器,找到全局动态应力的极大值与极小值,即关键时间点。将该方法应用到124杆平面桁架和均布力与集中力共同作用的结构关键时间点识别问题中,识别结果说明了该方法的可行性和有效性。

关键词: 解空间谱单元离散, 全局动态应力, Lagrange插值, 关键时间点

Abstract:

According to the complexity and high-cost characteristics  of dynamic  analyses  in the   structural dynamic optimization processes,a  critical time points identification method for solution space of global dynamic stress based spectral element interpolation was proposed.The most dangerous time points of the structure dynamic response were found.The modal stress distribution was obtained  by using the modal superposition method,and then, the solution space domain of the global dynamic stress was computed.The Lagrange interpolation techniques were applied in the solution space domain to get the high precision function of the global dynamic stress. The absolute maximum points, that is, the critical time points,were found by executing the global DIRECT optimizer. Last, two examples of 124-member plane truss and the structure  subjected  to uniform and concentrated force were used to illustrate the feasibility and validity of the proposed method.

Key words: spectral element discretion of solution space, global dynamic stress, Lagrange interpolation, critical time point

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