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

International Journal of Advanced Structural Engineering

دوره 11، شماره 1، آبان 2019، صفحه 59-518   

شناسه دیجیتال (DOI): 10.30495/ijase.2019.705775

نویسندگان

Lahcene Fortas¹؛ Lamine Belounar¹؛ Tarek Merzouki²

¹MN2I2S Laboratory, Faculty of Science and Technology, Biskra University, Biskra, Algeria

²Laboratoire d’Ingénierie des Systèmes de Versailles, Vélizy, France

چکیده

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

کلیدواژه‌ها

Strain approach · Drilling rotation · Static analysis · Free vibration analysis