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

الموضوعات :

Lahcene Fortas ¹ , Lamine Belounar ² , Tarek Merzouki ³

1 - MN2I2S Laboratory, Faculty of Science and Technology, Biskra University, Biskra, Algeria
2 - MN2I2S Laboratory, Faculty of Science and Technology, Biskra University, Biskra, Algeria
3 - Laboratoire d’Ingénierie des Systèmes de Versailles, Vélizy, France

تاريخ الإرسال : 19 الإثنين , صفر, 1445 تاريخ التأكيد : 19 الإثنين , صفر, 1445 تاريخ الإصدار : 29 الخميس , ذو القعدة, 1440

الکلمات المفتاحية: Strain approach · Drilling rotation · Static analysis · Free vibration analysis,

ملخص المقالة :

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.