Title: Presentation of a new membrane strain-based finite element for static and dynamic analysis

Authors: Lemmouchi Bouzidi; Lamine Belounar; Khelifa Guerraiche

Addresses: MN2I2S Laboratory, Faculty of Science and Technology, Biskra University, Algeria ' MN2I2S Laboratory, Faculty of Science and Technology, Biskra University, Algeria ' MN2I2S Laboratory, Faculty of Science and Technology, Biskra University, Algeria

Abstract: A numerical solution using a strain-based quadrilateral finite element is presented to analyse static and dynamic behaviours for membrane structures. The proposed quadrilateral element which possesses two degrees of freedom (u and v) at the four corner nodes as well as at the central node is based on assumed strains. All the three components of strains have linear variation satisfying the compatibility equation. The validity of the developed element is first applied to several selected static examples. This element is further applied to analyse both free and forced vibrations.

Keywords: membrane; rectangular element; strain approach; finite element; vibration analysis.

DOI: 10.1504/IJSTRUCTE.2019.101431

International Journal of Structural Engineering, 2019 Vol.10 No.1, pp.40 - 60

Received: 08 Mar 2018
Accepted: 14 Apr 2019
Published online: 07 Aug 2019 *

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