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土-结构三维动力分析的线性-非线性混合子结构法

ISSN号：1000-4750
期刊名称：工程力学
时间：2012.1.30
页码：155-161
分类：TU313[建筑科学—结构工程]
作者机构：[1]天津大学建筑工程学院,天津300072, [2]天津大学机械工程学院,天津300072, [3]铁道第三勘察设计院集团有限公司,天津300142
相关基金：国家自然科学基金重大研究计划项目（90815025）;国家自然科学基金项目（50878143）;天津市应用基础及前沿技术研究计划项目（09JCZDJC25300）
相关项目：结构-地基土非线性相互作用的混合动态子结构法研究

作者：王菲|姜南|

关键词：三维动力分析, 约束模态综合法, 非线性, 土-结构相互作用, 势能判据截断准则, 边界耦合, 3D dynamic analysis, constrained mode synthesis method, nonlinear, soil-structure interaction, potential energy criterion, boundary coupling

中文摘要：

为提高土-结构三维非线性动力分析问题的计算效率，根据结构存在局部塑性区域的特点，提出了适合于非线性子结构与多个线性子结构存在边界耦合情况的线性．非线性混合约束模态综合法。该方法将整体体系划分为线性和非线性两类子结构，对线性子结构依照势能判据截断准则进行自由度的缩减，并最终与非线性子结构进行综合，进而获得非线性体系的动态响应。进一步将该方法应用到土-高层建筑相互作用体系的三维动力分析算例中，针对两种不同的土体边界条件分别进行了多组地震动激励作用下的动力时程分析，验证了该方法的精确性与有效性。最后，针对非线性土体区域范围的多种不同取值进行了多组数值试验，结果表明：对于该文算例，当非线性土体区域的范围取为上部结构水平尺寸的3倍时即可获得满意的计算结果，进一步说明了该方法的有效性。

英文摘要：

To improve the computational efficiency of a 3D nonlinear dynamic problem of a soil-structure interactive system, based on the characteristic that structures have local plastic regions, the mixed linear-nonlinear constrained mode synthesis method, suitable for nonlinear substructure coupled with several linear substructures at the interface boundaries, is presented. This method divides the system into linear and nonlinear substructures. The dynamic response of the whole nonlinear system can be obtained by reducing the degree of freedom of linear substructures using mode cut-off criterion based on potential energy criterion and synthesizing with the nonlinear substructure. Furthermore, the proposed method is used to solve the 3D soil and multi-story buildings interaction system dynamic problem and several dynamic analyses has been carried out according to two kinds of soil boundary conditions by different seismic excitations. The analysis results indicate that the proposed method is accurate and effective. Finally, the nonlinear soil region scale is studied by several groups of numerical experiments, the comparison results show that the satisfactory result can be obtained when the range of nonlinear substructure gets 3 times of superstructure＇s, the effectiveness of the proposed method has been further verified.

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