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A domain decomposition approach for coupled modelling of nonlinear soil-structure interaction

机译:非线性土-结构相互作用耦合模型的区域分解方法

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摘要

This paper proposes a new approach for modelling coupled nonlinear soil-structure interaction problems by domain decomposition. It is assumed that the soil-structure coupled system is physically partitioned into independently modelled soil and structure sub-domains. A coupling procedure based on the sequential iterative Dirichlet-Neumann coupling algorithm is presented, which utilizes the condensed tangent stiffness matrices at the soil-structure interface to ensure and accelerate convergence to compatibility in successive update of the boundary conditions. As a special case of the proposed approach, the condensed tangent stiffness matrix is approximated via reduced order models of the partitioned sub-domains throughout the coupling iterations. A simulation environment has been developed, utilizing discipline-oriented solvers for nonlinear structural and geotechnical analysis, and is discussed. This tool is used to demonstrate the applicability of the presented coupling algorithm in modelling nonlinear soil-structure interaction problems, highlighting its relative merits compared to interface relaxation algorithms. Furthermore, the developed tool is employed for a case study involving nonlinear soil-structure interaction analysis between a plane frame and soil subjected to ground excavation, where the computational and modelling benefits of the proposed approach and the developed tool are clearly established.
机译:本文提出了一种新的通过区域分解来建模非线性土-结构耦合相互作用问题的方法。假定土壤-结构耦合系统在物理上被划分为独立建模的土壤和结构子域。提出了一种基于顺序迭代Dirichlet-Neumann耦合算法的耦合程序,该方法利用土-结构界面处的压缩切线刚度矩阵来确保并加速边界条件连续更新时的相容性。作为所提出方法的特殊情况,在整个耦合迭代过程中,通过分区子域的降阶模型来近似压缩切线刚度矩阵。利用面向学科的求解器进行非线性结构和岩土分析,已经开发了一种仿真环境,并进行了讨论。该工具用于演示所提出的耦合算法在建模非线性土-结构相互作用问题中的适用性,突出显示其与界面松弛算法相比的相对优势。此外,将开发的工具用于涉及平面框架与地面开挖的土壤之间的非线性土-结构相互作用分析的案例研究中,在此方法和开发的工具的计算和建模优势得到了明确的确立。

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