Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-25T19:12:29.975Z Has data issue: false hasContentIssue false
  • English
  • Français

Approximate Displacements of Exact Membrane Actions in a Shell Triangular Element

Published online by Cambridge University Press:  07 June 2016

L.S.D. Morley
L.S.D. Morley*
Affiliation:
Royal Aircraft Establishment, Farnborough
Get access

Summary

Exact stress functions which satisfy the homogeneous differential equations of equilibrium for membrane actions are available from the static geometric analogue of previously derived exact displacements of inextensional bending. For finite element evaluation it is necessary to know the displacements (and rotations) caused by these membrane actions. A method of calculating approximate displacements is described which uses the principle of minimum potential energy. Results are given for specimen triangular elements with positive, zero and negative Gaussian curvatures. A listing is appended of a Fortran computer program which allows calculation of these approximate displacements, rotations and other physical quantities for other element shapes.

Type
Research Article
Information
Aeronautical Quarterly , Volume 34 , Issue 4 , November 1983 , pp. 282 - 302
Copyright
Copyright © Royal Aeronautical Society. 1983

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 Morley, L.S.D. Inextensional bending of a shell triangular element in quadratic parametric representation. Int. J. Solids Structs., Vol. 18, p 919, 1982 CrossRefGoogle Scholar
2 Gol’denveizer, A.L. Theory of elastic thin shells. Pergamon, 1961 Google Scholar
3 Morley, L.S.D. Study of trial functions in shell triangular finite elements of quadratic parametric representation. Computer Methods in Appl. Mechs. Engrg., Vol. 38, p 203, 1983 Google Scholar
4 Morley, L.S.D. Fortran computer program for inextensional bending of a doubly curved shell triangular element. Int. J. Num. Methods Engng., Vol. 19, p 647, 1983 Google Scholar