𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A finite difference perturbation procedure for non-linear elastic stability problems

✍ Scribed by M. S. El Naschie; I. Galaly; S. Athel


Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
266 KB
Volume
12
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis


A finite difference perturbation scheme is developed which allows a simple solution to a wide class of non-linear bifurcation problems. The analysis shows that in order to determine the initial post buckling behaviour accurately, it is not necessary to solve more than the linear eigenvalue difference equation with similar accuracy.


πŸ“œ SIMILAR VOLUMES


A new stabilization technique for finite
✍ S. Reese; M. KΓΌssner; B. D. Reddy πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 495 KB πŸ‘ 2 views

In the present contribution, an innovative stabilization technique for two-dimensional low-order ΓΏnite elements is presented. The new approach results in an element formulation that is much simpler than the recently proposed enhanced strain element formulation, yet which gives results of at least th

Boundary stabilization for a non-linear
✍ To Fu Ma πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 103 KB

## Abstract In this paper, we study the equation under non‐linear boundary conditions which model the vibrations of a beam clamped at __x__=0 and supported by a non‐linear bearing at __x__=__L__. By adding only one damping mechanism at __x__=__L__, we prove the existence of a global solution and

A systematic construction of B-bar funct
✍ R. Piltner; R. L. Taylor πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 304 KB πŸ‘ 2 views

In a previous paper a modified Hu-Washizu variational formulation has been used to derive an accurate four node plane strain/stress finite element denoted QE2. For the mixed element QE2 two enhanced strain terms are used and the assumed stresses satisfy the equilibrium equations a priori for the lin