Bending and vibration analysis of an arbitrary shell by the moving-least square meshfree method

被引：0

作者：

Chen W. ^{[1
]}

Yang J. ^{[1
]}

Wei D. ^{[1
]}

Shen Y. ^{[1
]}

Peng L. ^{[1
,2
,3
]}

机构：

[1] School of Civil Engineering and Architecture, Guangxi University, Nanning

[2] Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education, Guangxi University, Nanning

[3] Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Guangxi University, Nanning

来源：

Zhendong yu Chongji/Journal of Vibration and Shock | 2022年 / 41卷 / 16期

关键词：

arbitrary shells; full transformation method; mapping technology; meshfree method; moving-least squares;

D O I：

10.13465/j.cnki.jvs.2022.16.017

中图分类号：

学科分类号：

摘要：

A moving-least square meshfree method for linear bending and free vibration of arbitrary shell structures was proposed in this paper. By using the mapping technology in conjunction with the Mindlin's theory of plates and shells, the 3D arbitrary shell parametric surface was converted into a 2D meshfree model. Based on the moving-least square approximation and the first-order shear deformation theory, the displacement field of arbitrary shell was obtained, and the bending and free vibration control equations were obtained by using the minimum potential energy principle and the Hamilton principle, respectively. Because the essential boundary conditions cannot be imposed directly, the full transformation method was used to introduce the essential boundary conditions. At the end of this paper, several examples of different shape shell structures show that the solutions in this paper are in good agreement with the theoretical solutions or ABAQUS finite element solutions, which validate the effectiveness and accuracy of this method in calculating the linear bending and free vibration of arbitrary shells. © 2022 Chinese Vibration Engineering Society. All rights reserved.

引用

页码：125 / 134and241

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