Stability of rods with unilateral constraints, a finite element solution

authored by

E. Stein, Peter Wriggers

Abstract

The finite element analysis of rods using an "updated-Lagrangian" formulation is extended to problems with unilateral constraints. The rods are described according to Timoshenko's bending theory, undergoing large displacements and rotations, with restriction to small strains. The critical loads are given as a result of an incremental computation process, which simultaneously approximates the geometrical nonlinearities as well as the nonlinearities arising from the unilateral constraints. A computer program was written in FORTRAN IV, and the results obtained present good agreement compared with analytical solutions or other numerical solutions in literature.

Organisation(s)

Institute of Mechanics and Computational Mechanics

Type

Article

Journal

Computers and Structures

Volume

19

Pages

205-211

No. of pages

7

ISSN

0045-7949

Publication date

1984

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Civil and Structural Engineering, Modelling and Simulation, General Materials Science, Mechanical Engineering, Computer Science Applications

Electronic version(s)

https://doi.org/10.1016/0045-7949(84)90220-7 (Access: Unknown)