Formulation of a new finite element based on assumed strains for membrane structures

Subject Areas : Structural Mechanics

Lahcene Fortas ¹ (MN2I2S Laboratory, Faculty of Science and Technology, Biskra University, Biskra, Algeria)
Lamine Belounar ² (MN2I2S Laboratory, Faculty of Science and Technology, Biskra University, Biskra, Algeria)
Tarek Merzouki ³ (Laboratoire d’Ingénierie des Systèmes de Versailles, Vélizy, France)

Received: 2023-09-04 Accepted : 2023-09-04 Published : 2019-08-01

Keywords: Strain approach · Drilling rotation · Static analysis · Free vibration analysis,

Abstract :

AbstractIn this paper, a new triangular membrane finite element with in-plane drilling rotation has been developed using the strainbasedapproach for static and free vibration analyses. The proposed element, having three degrees of freedom at each of thethree corner nodes, is based on assumed strain functions satisfying both compatibility and equilibrium equations. Numericalinvestigations have been conducted using several tests, including static and free vibration problems, and the obtained resultsare compared with analytical and numerical available solutions. It is found that efficient convergence characteristics andaccurate results can be achieved using the developed element.