温克勒-帕斯捷尔纳克地基上基尔霍夫板偶极子的动态基本解法

IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Y.R. Zhou , X.B. Yan , M.X. Wang , Y.C. Liu , P.H. Wen
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引用次数: 0

摘要

本研究提出了薄板在动态荷载作用下的基本解法(MFS)。传统的 MFS 采用双源法,包含源点位置在内的两个自由变量。为了构建自由参数较少的 MFS,本文的主要目的是通过拉普拉斯变换技术,推导出带阻尼弹性地基上薄板的集中力和偶极子的两个基本解。本文全面观察了基本解的行为和性能。通过杜宾反演法获得了时域数值结果,并全面观察了基本解的行为。本文的主要新颖之处在于推导了基尔霍夫板偶极子的拉普拉斯变换基本解,该偶极子位于具有阻尼系数的温克勒-帕斯捷尔纳克弹性地基上,并对基尔霍夫板理论和赖斯纳/明德林板理论在动态载荷下进行了比较。为了证明这种方法的准确性,我们对本研究成果与分析解法或有限元解法进行了数值比较。结果表明,分析解法和有限元法解法都非常吻合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dynamic fundamental solution of dipole for Kirchhoff plate on Winkler-Pasternak foundation

The Method of Fundamental Solution (MFS) for the thin plate resting on the Winkler-Pasternak elastic foundation under dynamic loading is proposed in this work. In traditional MFS, the double-source method is utilized with two free variables including the locations of source pint. In order to construct MFS with few free parameters, the main aim of this paper is to deduce two fundamental solutions for a concentrated force and a dipole of thin plate resting on the elastic foundation with damping by Laplace transform technique. The behaviours and performances of fundamental solutions are observed comprehensively. Time domain numerical results are obtained by the Durbin’s inverse method and the behaviours of fundamental solutions are observed comprehensively. The main novelty of this paper is the derivation of Laplace transformed fundamental solutions of the dipole of a Kirchhoff plate resting on the Winkler-Pasternak elastic foundation with the damping factor and comparisons have been made between Kirchhoff plate and Reissner/Mindlin plate theories under dynamic loadings. In order to show the accuracy of this methodology, numerical comparisons between the present work and either analytical solutions or finite element solutions are presented. Excellent agreements with both analytical solution and finite element method solution are observed.

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来源期刊
Computers & Structures
Computers & Structures 工程技术-工程:土木
CiteScore
8.80
自引率
6.40%
发文量
122
审稿时长
33 days
期刊介绍: Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.
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