Allowance for Transverse Shear Deformations in the Finite Element Calculation of a Thin Elliptic Cylinder Shell

Abstract

In this paper, we present an algorithm for finite element calculation of thin shells with allowance for transverse shear deformations. In deriving the basic geometric relations, two options of counting the rotation angle of the normal to the middle surface were considered. In the first option, the reading of the rotation angle of the normal was carried out from its initial state. In the second option, the reading of the rotation angle of the normal was carried out from its position in the deformed state. A comparative analysis of the efficiency of two options of reading the rotation angle of the normal is performed based on calculating a thin elliptical cylinder shell rigidly pinched along the ends and loaded with an internal pressure of intensity q.