| 沈小璞,陈荣毅.样条状态变量法分析扁球壳的动力响应[J].计算力学学报,2001,18(2):205~209 |
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| 样条状态变量法分析扁球壳的动力响应 |
| Dynamic response analysis spherical shells by spline state variable method |
| 修订日期：1999-06-05 |
| DOI：10.7511/jslx20012039 |
| 中文关键词: 样条函数 状态变量 动力响应 瞬时变分原理 扁球壳 建筑结构 |
| 英文关键词:spline function,state variable,dynamic response,instantaneous variational principle,flat spherical shell |
| 基金项目:安徽省教委自然科学基金资助 |
| 沈小璞 陈荣毅 |
| [1]安徽建筑工业学院建工系，安徽合肥230022 [2]同济大学，上海200092 |
| 摘要点击次数: 1052 |
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| 中文摘要: |
| 基于瞬时变分原理与样条函数理论，建立扁球壳的动力方程，引入样条参数及其对时间的导数作为状态变量，导出状态方程，对空间域，采用样条有限元法，对时间域，采用现代控制论中的状态空间法，此外，建立了一种状态变量的递推计算格式，在计算过程中，不解线性方程组，也不需采用解耦技术，只要作矩阵运算，可直接算出动力响应量，文末给出的数值算例表明本文方法是可靠 与有效的。 |
| 英文摘要: |
| Based on instantaneous potential energy principle and spline interpolate function, the dynamic equation of flat spherical shell is derived. The spline parameters and their derivatives are taken as state variables, the state equation is established. The spline finite element is used for space domain and the state space method is used for time domain respectively. In addition, a state variable recursive scheme is developed. The main advantages of the present method are that one is not necessary to solve linear equations, second is not to be applied to the technique of uncoupling and reduced order and only the matrix operations are required. Some numerical results are presented to demonstrate the effectiveness and reliability of present method. |
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