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Mathematical Problems in Engineering
Volume 2015, Article ID 762539, 8 pages
http://dx.doi.org/10.1155/2015/762539
Research Article

Accurate Element of Compressive Bar considering the Effect of Displacement

1College of Water Resources & Civil Engineering, China Agricultural University, Beijing 100083, China
2China Machinery TDI International Engineering Company Limited, Beijing 100083, China

Received 18 September 2014; Accepted 5 January 2015

Academic Editor: Chenfeng Li

Copyright © 2015 Lifeng Tang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By constructing the compressive bar element and developing the stiffness matrix, most issues about the compressive bar can be solved. In this paper, based on second derivative to the equilibrium differential governing equations, the displacement shape functions are got. And then the finite element formula of compressive bar element is developed by using the potential energy principle and analytical shape function. Based on the total potential energy variation principle, the static and geometrical stiffness matrices are proposed, in which the large deformation of compressive bar is considered. To verify the accurate and validity of the analytical trial function element proposed in this paper, a number of the numerical examples are presented. Comparisons show that the proposed element has high calculation efficiency and rapid speed of convergence.