0
RESEARCH PAPERS

Finite-Element Analysis of Thin Elastic Shells With Residual Energy Balancing and the Role of the Rigid Body Modes

[+] Author and Article Information
I. Fried

Department of Mathematics, Boston University, Boston, Mass.

J. Appl. Mech 42(1), 99-104 (Mar 01, 1975) (6 pages) doi:10.1115/1.3423561 History: Received May 01, 1974; Revised August 01, 1974; Online July 12, 2010

Abstract

The thin cylindrical and spherical shells are computationwise distinct owing to the presence in the first and the absence in the latter of extensional modes. Introduction by numerical integration or allied means of discrete extensional modes in the cylindrical shell element considerably improves the discretization accuracy. Balancing the (residual) extensional energy with the discretization errors removes the radius-to-thickness ratio from the condition number of the stiffness matrix. No such computational contrivances are needed for the spherical shell whose global stiffness matrix is as well conditioned as that of a flat membrane, regardless of large radius-to-thickness ratios.

Copyright © 1975 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In