Structural Engineering and Mechanics

Volume 63, Number 2, 2017, pages 225-235

DOI: 10.12989/sem.2017.63.2.225

Dynamic behaviour of orthotropic elliptic paraboloid shells with openings

Kutlu Darilmaz

Abstract

In this paper a vibration study on orthotropic elliptic paraboloid shells with openings is carried out by using a hybrid stress finite element. The formulation of the element is based on Hellinger-Reissner variational principle. The element is developed by combining a hybrid plane stress element and a hybrid plate element. Natural frequencies of orthotropic elliptic paraboloid shells with and without openings are presented. The influence of aspect ratio, height ratio, opening ratio and material angle on the frequencies and mode shapes are investigated.

Key Words

elliptic paraboloid shell;, shell; opening; assumed stress hybrid element; finite element; free vibration

Address

Kutlu Darilmaz : Department of Civil Engineering, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey