| 陈荣毅.弹性动力学的多变量响应问题的解法[J].计算力学学报,2002,19(4):443~449 |
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| 弹性动力学的多变量响应问题的解法 |
| Method of multivariable responses for elastic dynamics |
| 修订日期：2001-01-03 |
| DOI：10.7511/jslx20024094 |
| 中文关键词: 弹性动力学,多变量响应,混合变分原理,样条函数,状态变量 |
| 英文关键词:elastic dynamics,multivariable response,mixed variational principle,spline function,state variable |
| 基金项目: |
| 陈荣毅 |
| 广州地区建设工程质量安全监督站 广州510030 |
| 摘要点击次数: 1336 |
| 全文下载次数: 8 |
| 中文摘要: |
| 基于瞬时混合变分原理与乘积型二元三次 B样条函数 ,以板壳为例 ,建立样条动力方程。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。对空间域采用混合样条元法 ,对时间域采用现代控制论中的状态空间法。文末数值算例表明 ,计算精度与效率是令人满意的。本文方法对计算多输入与多输出 ,时不变与时变系统和线性与非线性系统等多变量动力响应问题 ,有广阔的应用与发展前景 |
| 英文摘要: |
| A method of multivariable response for elastic dynamics is presented in the paper. Based on the instantaneous mixed variational principle and the spline interpolate functions, a spline equation of motion is derived. The spline parameter and its derivative are taken as the state variables; the state variable equation is also established. The spline finite element procedure is used for space domain and the state space technique is used for time domain, respectively. Numerical results demonstrate the accuracy and efficiency of the method. For calculating the problems of multi\|input or multi\|output, time\|invariant or time\|variant, and linear or nonlinear systems, the proposed method has prospective wide applications and developments. |
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