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时间卷积的局部高阶弹簧-阻尼-质量模型

期刊名称：工程力学
时间：0
分类：TU4[建筑科学—土工工程]
作者机构：[1]北京工业大学城市与工程安全减灾省部共建教育部重点实验室,北京100124
相关基金：国家重点基础研究发展计划项目（2007CB714203）;国家自然科学基金项目（90715041,90715035,90510011）
相关项目：复杂岩基条件下拱坝-库水系统非线性地震反应分析与高效算法研究

关键词：土-结相互作用, 人工边界条件, 弹簧-阻尼-质量模型, 稳定性, 参数识别, 有限元分析, soil-structure interaction, artificial boundary condition, spring-dashpot-mass model, stability, parameter identification, finite element analysis

中文摘要：

土-结相互作用的时域有限元分析中,力和位移时间卷积关系的局部化处理是建立精确无限域模拟方法的关键。应用物理模型化方法局部化时间卷积,提出一种新的高阶弹簧-阻尼-质量模型,推导了模型的时域、频域方程和相应的标准方程,建立了两类方程参数的转换关系。基于线性系统稳定性理论提出模型系统运动稳定的充分必要条件,并基于罚函数法和遗传-单纯形法建立了考虑模型稳定性的参数识别方法。基于该文参数识别方法的高阶弹簧-阻尼-质量模型系统、简洁,能够在动力有限元程序或商用软件中简单、容易的实现,形成动力稳定的土-结相互作用系统,可以采用显式时间积分求解。弹性地基表面半无限杆问题的分析以及与几种现有方法的比较研究表明该文模型及参数识别方法的有效性。

英文摘要：

The localization of time convolution relation of generalized force and displacement has been the key to the construction of an pricise and infinite-domain FEM model used for the time-domain soil-structure-interaction analysis. The physical model method is used in this paper to localize time convolution as it is compatible to FEM. A novel model of high-order spring-dashpot-mass （HSDMM） is constructed using the time- and frequency-domain equations as well as the corresponding normal equations. The transformation relation for the parameters used in these two types of equations is also otained. The sufficient and necessary dynamic stability conditions for the proposed model are proposed, and a parameter identification method （PIM） considering stability condition is developed based on the penalty function and the genetic-simplex algorithm. The systemic and concise HSDMM with the proposed PIM can be readily incorporated into a dynamic commercial software and the established dynamically stable soil-structure interaction problem can be solved even using an explicit time stepping integration. Finally, the performance of HSDMM with the proposed PIM is evaluated by analyzing a semi-infmite rod on elastic foundation with it and comparing the results to the results obtained with several existing models.

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