Title: A fast incremental/iterative solution procedure that handles “snap-through”
Abstract: Riks [1] has recently proposed a new solution procedure for overcoming limit points. To this end, he adds, to the standard equilibrium equations, a constraint equation fixing the length of the incremental load step in load/deflection space. The applied load level becomes an additional variable. The present paper describes a means of modifying Rik's approach so that it is suitable for use with the finite element method. The procedure is applied in conjunction with the modified Newton-Raphson method in both its original and accelerated forms. The resulting techniques not only allow limit points to be passed, but also, improve the convergence characteristics of the unconstrained iterative procedures. Illustrative examples include the large deflection analysis of shallow elastic shells and the collapse analysis of a stiffened steel diaphragm from a box-girder bridge.
Publication Year: 1981
Publication Date: 1981-06-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 1500
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot