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Journal of Applied Mathematics and Computation

ISSN Online: 2576-0653 ISSN Print: 2576-0645 CODEN: JAMCEZ
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ArticleOpen Access http://dx.doi.org/10.26855/jamc.2023.12.004

Analysis of Associated Stiffening Effect of Shear Deformation on Geometric Stiffness Matrix

Mingxuan Guo, Jun Dong*, Jingshu Lin, Yao Zhang

Beijing Higher Institution Engineering Research Center of Structural Engineering and New Materials, Beijing University of Civil Engineering and Architecture, Beijing, China.

*Corresponding author: Jun Dong

Published: December 31,2023

Abstract

The influence of shear deformation on the geometrical stiffness matrix in the stability problem of compression bar is investigated in this paper. On the basis of deriving the element stiffness matrix and geometric stiffness matrix by energy method, the shear deformation is introduced, and the influence of bending, shear, flexural shear, and compression flexural shear actions on the correction of geometric stiffness matrix and the final critical load are discussed in detail. Furtherly, the concepts of associated stiffening and associated softening for stability problems are proposed by analogy with other scholars’ ideas. The results show that the bending term and shear term soften the compression bar, and the associated terms such as the bending-shear accompanying term and compression-bending-shear accompanying term harden first and then soften. It is very important for practical engineering to make reasonable use of the associated stiffening effect of shear deformation.

Keywords

Shear Deformation, Compression Bar, Stability, Geometric Stiffness Matrix, Associated Stiffening Effect

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How to cite this paper

Analysis of Associated Stiffening Effect of Shear Deformation on Geometric Stiffness Matrix

How to cite this paper: Mingxuan Guo, Jun Dong, Jingshu Lin, Yao Zhang. (2023) Analysis of Associated Stiffening Effect of Shear Deformation on Geometric Stiffness MatrixJournal of Applied Mathematics and Computation7(4), 455-463.

DOI: http://dx.doi.org/10.26855/jamc.2023.12.004