| Hierarchical Direct Time Integration Method and Adaptive Procedure for Dynamic Analysis |
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| 作者姓名： | 郑小平 姚振汉 姚振汉 傅宇旭 傅宇旭 |
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| 作者单位： | ZHENG Xiaoping (郑小平)，YAO Zhenhan (姚振汉)，FU Yuxu (傅宇旭)Department of Engineering Mechanics，Tsinghua University，Beijing 100084，China |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｒｅｃｅｎｔｙｅａｒｓ,ｅｒｒｏｒｅｓｔｉｍａｔｉｏｎａｎｄａｄａｐｔｉｖｅｔｅｃｈｎｉｑｕｅｓｈａｖｅｂｅｅｎｅｍｐｈａｓｉｚｅｄｉｎｒｅｓｅａｒｃｈｏｎｃｏｍｐｕｔａｔｉｏｎａｌｍｅｃｈａｎｉｃｓ.Ｔｈｅｕｌｔｉｍａｔｅｇｏａｌｉｓｔｏｍａｋｅｔｈｅｎｕｍｅｒｉｃａｌｓｏｌｕｔｉｏｎｓｒｅｌｉａｂｌｅｉｎａｎｅｆｆｉｃｉｅｎｔａｎｄｅｃｏｎｏｍｉｃａｌｍａｎｎｅｒ.Ｆｏｒｓｔｒｕｃｔｕｒａｌｄｙｎａｍｉｃｐｒｏｂｌｅｍｓ,ｄｉｓｃｒｅｔｉｚａｔｉｏｎｅｒｒｏｒｓｔｈａ…
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| 关 键 词： | dynamic analysis hierarchical integration error estimates adaptive procedure |
Hierarchical Direct Time Integration Method and Adaptive Procedure for Dynamic Analysis |
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| ZHENG Xiaoping,YAO Zhenhan,FU Yuxu.Hierarchical Direct Time Integration Method and Adaptive Procedure for Dynamic Analysis[J].Tsinghua Science and Technology,2000,5(1). |
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| Authors: | ZHENG Xiaoping YAO Zhenhan FU Yuxu |
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| Abstract: | New hierarchical direct time integration method for structural dynamic analysis is developed by using Taylor series expansions in each time step. Very accurate results can be obtained by increasing the order of the Taylor series. Furthermore, the local error can be estimated by simply comparing the solutions obtained by the proposed method with the higher order solutions. This local estimate is then used to develop an adaptive order control technique. Numerical examples are given to illustrate the performance of the present method and its adaptive procedure. |
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| Keywords: | dynamic analysis hierarchical integration error estimates adaptive procedure |
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