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无限地基-结构动力相互作用分析的分区递归时域算法研究

A REFINED SUB-REGIONAL RECIPROCAL METHOD IN TIME DOMAIN FOR DYNAMIC SOIL-STRUCTURE INTERACTION ANALYSIS

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【作者】 李建波陈健云林皋

【Author】 LI Jian-bo , CHEN Jian-yun , *LIN Gao (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China)

【机构】 大连理工大学海岸与近海国家重点实验室抗震分室大连理工大学海岸与近海国家重点实验室抗震分室 大连116024大连116024大连116024

【摘要】 基于阻尼抽取法,针对结构-无限地基动力相互作用时域分析提出了一种新的分区递归数值求解算法,包括逐步积分形式的地基作用力计算公式及动力相互作用分析中,基于子结构法的具体数值实现过程。该算法隐式地满足了无限介质辐射条件,可方便地确定地基作用力与交界面位置变位的关系,消除了无限地基动刚度时域算法中的频率相关性及褶积分,此外,时域子结构方式的求解可以方便地考虑结构部分的非线性力学特征。以实例的形式说明了该方法良好的精度与应用的简便性。

【Abstract】 Based on the damping solvent extraction method (DSEM), a refined sub-regional time domain reciprocal procedure is proposed to deal with the analysis of dynamic soil-structure interaction. The radiation condition of the unbounded domain is automatically satisfied, and the frequency dependence and the convolution integral required in other algorithms in time domain are avoided. The numerical implementation of the method is given in detail. It mainly includes two parts: A precise step-by-step integration numerical algorithm for the evaluation of interaction forces of unbounded soil in time domain; The implementation of the refined sub-regional reciprocal method for the analysis of dynamic soil-structure interaction in time domain. Since the sub-regional numerical reciprocal procedure proposed in this paper is based on the sub-structure concept, it is convenient to take into account the nonlinear dynamic characteristics of general structures. Practical applications demonstrate that the proposed method is of good accuracy and feasibility.

【基金】 国家自然科学基金资助项目(50139010和50209002);辽宁省自然科学基金资助项目(20022130)
  • 【文献出处】 工程力学 ,Engineering Mechanics , 编辑部邮箱 ,2005年03期
  • 【分类号】TU470;TU311.3
  • 【被引频次】23
  • 【下载频次】314
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