| 求解结构动力响应的卷积型DQ半解析法 |
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| 引用本文： | 彭建设,刘燕,杨杰.求解结构动力响应的卷积型DQ半解析法[J].计算物理,2009,26(3):409-414. |
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| 作者姓名： | 彭建设 刘燕 杨杰 |
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| 作者单位： | 1. 西华师范大学物理与电子信息学院, 四川 南充 637002;2. 皇家墨尔本理工大学航空机械制造工程学院, 澳大利亚墨尔本 |
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| 摘 要： | 通过卷积将原始控制方程构造成包含初始条件的新的具有完整初值问题特征的控制方程.该方程既与Gurtin变分原理一样有合理的数学内涵,又避免了卷积型Gurtin变分原理泛函和计算的繁复.对新的控制方程在时间域取解析函数,在空间域采用离散的DQ法,经对梁的动力响应问题的计算表明,该方法是一种精度好效率高的求解动力响应问题的计算方法.
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| 关 键 词： | 卷积 动力响应 DQ法 半解析法 |
| 收稿时间： | 2007-09-27 |
| 修稿时间： | 2008-04-21 |
Convolution Semi-analytical Differential Quadrature Method for Structural Dynamic Response |
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| PENG Jianshe,LIU yan,YANG Jie.Convolution Semi-analytical Differential Quadrature Method for Structural Dynamic Response[J].Chinese Journal of Computational Physics,2009,26(3):409-414. |
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| Authors: | PENG Jianshe LIU yan YANG Jie |
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| Institution: | 1. School of Physics and Electronic Information, China West Normal University, Nanchong 637002, China;2. School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, P. O. Box 71, Bundoora, VIC 3083 Australia |
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| Abstract: | A convolution type semi-analytical approach is proposed for structural dynamic response.With convolution original governing equation is transformed into a complete initial-value problem with initial conditions.The equation is mathematically equivalent to Gutrin's variational principle while it involves no functional and complicated calculation in variational principle.The new governing equation is solved by differential quadrature method in space domain and analytical series in time domain to obtain dynamic... |
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| Keywords: | convolution dynamic response differential quadrature method semi-analytical method governing equation |
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