一种基于相对增益矩阵的人工边界条件空间耦合度计算方法

doi:10.13722/j.cnki.jrme.2023.0679

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Abstract High-precision artificial boundaries are generally characterized by spatio-temporal coupling，but the lack of corresponding quantitative evaluation indexes makes the current assessment of the spatial coupling state of artificial boundaries extremely limited. For this purpose，a computational method for evaluating the spatial coupling state of high-precision artificial boundaries is proposed based on the relative gain array(RGA). The method makes up for the insufficiency of the traditional linear system theory in which the coupling degree only describes the number of fixed degrees of freedom of the system by solving the –norm of the difference matrix of both the RGA and the identity matrix，and choosing the mean-square value about the total elements of the matrix to be defined as the mean coupling degree. The correctness of the proposed method is verified with a viscoelastic artificial boundary，and the reasonableness and applicability of the evaluation results of the method are investigated by using the Thin-Layer Method(TLM) and Scaled Boundary Finite Element(SBFEM) method. The effects of different foundation areas and near-field damping on the spatial coupling characteristics of high-precision artificial boundaries are analyzed，and the feasibility of setting a limit to and rounding off the tiny elements of the dynamic stiffness matrix as a kind of decoupling method for high-precision artificial boundaries is discussed. The results show that the spatial coupling calculation method of artificial boundary conditions proposed in this paper has reasonable applicability，and the decoupling method adopted significantly reduces the storage cost.

Key words： foundation engineering soil-structure dynamic interaction high precision artificial boundary space-time coupling relative gain array(RGA) mean coupling degree

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	Articles by authors
	HOU Hongwei1
	LI Jianbo1
	LI Zhiyuan2
	LI Yanpeng3

Cite this article:

HOU Hongwei1,LI Jianbo1,LI Zhiyuan2, et al. An relative gain array-based method for calculating the spatial coupling degree of artificial boundary conditions[J]. , 2024, 43(S2): 3885-3894.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2023.0679 OR https://rockmech.whrsm.ac.cn/EN/Y2024/V43/IS2/3885

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