DYNAMIC RESPONSES OF PLATES ON ELASTIC FOUNDATION BY MULTIVARIABLE SPLINE STATE SPACE PRECISION METHOD
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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。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.
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钟万勰. 计算结构力学与最优控制[M].大连:大连理工大学出版社,1993. 唐立民. 弹性力学的混合方程和哈密顿正则方程[J].计算结构力学及其应用,1991,(04):343-350. 秦荣. 计算结构动力学[M].桂林:广西师范大学出版社,1997. 沈鹏程. 多变量样条有限元法[M].北京:科学出版社,1997. 钟万勰. 暂态历程的精细计算方法[J].计算结构力学及其应用,1995,(01):1-6. 雷庆关,沈小璞,余景平. 状态空间精细法分析弹性地基板的动力响应[J].合肥工业大学学报(自然科学版),1998,(04):78-84. Timoshenko S P,Krieger S W. Theory of Plates and Shells[M].New York:McGraw-Hill Co,1959. 常春馨. 现代控制理论基础[M].北京:机械工业出版社,1988. Clough R W. Dynamics of Structure[M].New York:McGraw-Hill Co,1975. Newmak N M. A Method of Computation for Structural Dynamics[J].ASCE,J Engineering Mechanics Division,1959,(03):67-94. Bathe K J,Wilson E L. Numerical Methods in Finite Element Analysis[M].New Jersey:Prentice-hall,Inc,1976.
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