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     Research Journal of Applied Sciences, Engineering and Technology


A New Finite Element Based on the Strain Approach for Linear and Dynamic Analysis

1C. Rebiai, 2N. Saidani and 2E. Bahloul
1Department of Mechanical Engineering, Superior National School of Technology, Rouiba, Algeria
2Department of Mechanical, University of Batna, Route de Biskra, Batna, Algeria
Research Journal of Applied Sciences, Engineering and Technology   2015  6:639-644
http://dx.doi.org/10.19026/rjaset.11.2025  |  © The Author(s) 2015
Received: May ‎11, ‎2015  |  Accepted: June ‎22, ‎2015  |  Published: October 25, 2015

Abstract

In this study, linear and dynamic analysis of 2-D structures using a new strain based quadrilateral finite element is addressed. The developed element has the three Degrees of Freedom (DOF) at each of the four corner nodes (two general external degrees of freedom and the in-plane rotation). The displacement functions of the developed element satisfy the exact representation of the rigid body modes. Both linear and dynamic analyses are considered. For the dynamic analysis lumped mass and explicit time integration are employed. For the purposes of validation some selected numerical examples are solved using this developed element and the obtained results show its good performance.

Keywords:

Drilling rotation, dynamic analysis, linear analysis, lumped mass, strain approach,


References


Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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