Generalized time finite element algorithm for non‐linear dynamic problems
- 1 March 1984
- journal article
- Published by Emerald Publishing in Engineering Computations
- Vol. 1 (3) , 247-251
- https://doi.org/10.1108/eb023579
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.Keywords
This publication has 9 references indexed in Scilit:
- An exact numerical time integration of scalar equations for undamped structural systemsEarthquake Engineering & Structural Dynamics, 1984
- Consistent use of finite elements in time and the performance of various recurrence schemes for the heat diffusion equationInternational Journal for Numerical Methods in Engineering, 1981
- Direct time integration methods in nonlinear structural dynamicsComputer Methods in Applied Mechanics and Engineering, 1979
- Finite-Element Methods for Nonlinear Elastodynamics Which Conserve EnergyJournal of Applied Mechanics, 1978
- Algorithms for Nonlinear Structural DynamicsJournal of the Structural Division, 1978
- Stability, convergence and growth and decay of energy of the average acceleration method in nonlinear structural dynamicsComputers & Structures, 1976
- On the Unconditional Stability of an Implicit Algorithm for Nonlinear Structural DynamicsJournal of Applied Mechanics, 1975
- An Improved Stiffly Stable Method for Direct Integration of Nonlinear Structural Dynamic EquationsJournal of Applied Mechanics, 1975
- Finite elements in time and spaceNuclear Engineering and Design, 1969