Generalized time finite element algorithm for non‐linear dynamic problems

Abstract

A generalized time finite element method is considered for time integration of non‐linear equations of motion arising from dynamic problems. A simple three‐time level family of schemes is obtained. Evaluation of the schemes shows that the proposed approach may lead to unconditionally stable algorithms for non‐linear problems. Numerical examples show the accuracy and efficiency of the proposed algorithm in comparison to Newmark's average acceleration method and four order accurate explicit algorithm.

Citation

Kujawski, J. and Desai, C.S. (1984), "Generalized time finite element algorithm for non‐linear dynamic problems", Engineering Computations, Vol. 1 No. 3, pp. 247-251. https://doi.org/10.1108/eb023579