弹性地基板动力响应问题的多变量样条状态空间精细法

DYNAMIC RESPONSES OF PLATES ON ELASTIC FOUNDATION BY MULTIVARIABLE SPLINE STATE SPACE PRECISION METHOD

摘要: 采用样条元与状态空间精细法分析弹性地基板的动力响应量。对空间域采用样条元计算,对时间域采用状态空间精细法。在计算过程中,不解线性方程组,直接进行精细迭代计算,程序简单,效率高。同时给出了数值算例,并与其他算法进行了比较,其计算结果比较接近。
- 样条状态空间精细法 /
- 瞬时变分原理 /
- 弹性地基板 /
- 动力响应
Abstract: It is presented the application of spline element and state space precision method to analysze dynamic response of plates on elastic foundation.The spline element analysis is applied in space domain and the state space precision method is used in time domain.In the process of calculation,the computing program is convenient and efficient,there needs no solving of the linear equations and the space precision method is applied directly.The numerical examples are presented,and the results are compared with other methods.The computational results are quite good.
- spline state space precisionmethod /
- instantaneous variational principle /
- plate on elastic foundation /
- dynamicresponse

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