空间环境下具有薄粘弹性夹层的块状介质中的波传播建模

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2025-07-11 DOI:10.1134/S1990478924040033

E. A. Efimov

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引用次数: 0

摘要

考虑了具有弹性块和薄弹性层和粘弹性层的块状介质的三维模型。中间层用简化的微分-差分关系来描述。提出了一种基于分裂法求解动力学问题的数值算法。给出了波在块状半空间中传播的模拟结果。我们比较了在块状层状介质和由弹性弹簧相互连接的刚性质量组成的离散周期介质中产生的表面波的行为。该模型的计算结果与实验数据吻合较好。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Modeling of Wave Propagation in a Blocky Medium with Thin Viscoelastic Interlayers in a Spatial Setting

A three-dimensional model of a blocky medium with elastic blocks and thin elastic and viscoelastic interlayers is considered. The interlayers are described by simplified differential-difference relations. A numerical algorithm for solving dynamical problems based on splitting method is presented. The results of simulation of wave propagation in blocky half-space are presented. We compare the behaviour of surface waves arising in a blocky layered medium and in a discrete periodic medium consisting of rigid masses connected to each other by elastic springs. Results of computations using the proposed model are in good agreement with the experimental data.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.