由Gurtin变分原理求解任意形状板动力响应的半解析法<sup>*</sup>

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由Gurtin变分原理求解任意形状板动力响应的半解析法^*

基金项目: * 国家自然科学基金

摘要: 该半解析法以Gurtin变分原理为基础,在空间域作有限元离散,在时间域取级数.本文研究了任意形状板时域函数的取法,使得各种支承条件,任意形状板的动力响应问题均可由本计算模式得到具有相当精度和效率的解.
- 半解析法 /
- 动力响应 /
- 变分原理 /
- 薄板 /
- 有限元
Abstract: A semi-analytical approach for the dynamic response of general thin plates which employes finite element discretization in space domain and a series of repre-sentation in time domain is developed on the basis of Gurtin variatioual principles.The form ulation of time series is also investigated so that the dynamic response of plates with adequate accuracy.
- semi-analytical approach /
- dynamic response /
- variational principle /
- thin plate /
- the finite element method

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