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Asymptotic-Numeric Solution for Shells of Revolution

[+] Author and Article Information
Charles R. Steele

Division of Applied Mechanics, Stanford University, Stanford CA 94305 USA

Khaliq ur-Rehman Shad

Pakistan Corps of Engineers, Rawaldindi, Pakistan

Appl. Mech. Rev 48(11S), S44-S51 (Nov 01, 1995) doi:10.1115/1.3005082 History: Online April 29, 2009

Abstract

Thin shell structures offer a challenge to the analyst. It is well known that asymptotic expansion procedures offer simple approximate solutions for a number of shell problems for which direct numerical methods are inefficient. In this paper, a “very large finite element” method (VLFEM) is offered for the axisymmetric shell. The shape functions are obtained by sufficiently accurate asymptotic approximations through numerical procedures. A number of examples in statics and vibration have been considered that demonstrate the efficiency and accuracy of the approach.

Copyright © 1995 by The American Society of Mechanical Engineers
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