Open Access

ARTICLE

Complete Solid Buckling Analysis With Boundary Face Method

Guangyao Li¹, Shuaiping Guo¹, Jianming Zhang^1,2, Baiping Fei¹, Yuan Li¹

1 State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China.
2 Corresponding Author. College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan, 410082, P.R. China. Tel: 86 731 88823061; Fax: 86 731 88822051; Email: zhangjm@hnu.edu.cn

Computer Modeling in Engineering & Sciences 2014, 98(5), 487-508. https://doi.org/10.3970/cmes.2014.098.487

Abstract

In this paper, we will propose a new concept, namely the Complete Solid Buckling Analysis, in which the deformation assumptions for rods, beams and plates are all discarded, and the entire structure, including all its local smallsized features, is modeled as a three-dimensional (3D) solid according to its real shape and dimensions. Firstly, we derive a new control equation, in which physical variables in three directions are considered. Then, an equivalent Boundary Integral Equation (BIE) is derived from the control equation. In the numerical implementation, the Boundary Face Method is employed, by which analyses can be performed directly on the CAD geometry model. And the Dual Reciprocity Method is used to deal with the domain integrals. Finally, several numerical examples with different geometries and boundary conditions are presented to test our method. Results are in good agreements with the known ones.

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Keywords

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