SURVEY OF SOLUTION PROCEDURES FOR NONLINEAR STATIC AND DYNAMIC ANALYSES
This paper presents a review of the solution techniques most widely used for solving the governing equations for static and dynamic, large deflection, elastic-plastic response of structures. For the transient response, one explicit direct integration method (central differences) and three implicit methods (Houbolt, Newmark Beta, and Wilson) are compared with respect to accuracy and stability. A modal superposition technique is developed and compared to the direct integration methods. It is concluded that the choice of a suitable method depends on the structure and loading involved and on the frequency response desired. For the static response, the available techniques are grouped according to whether they yield exact or approximate solutions to the nonlinear equations. The convergence characteristics for each method are summarized.
- From the International Conference on Vehicle Structural Mechanics.
New York, NY United States 10017
- Strichlin, J A
- Haisler, W E
- Publication Date: 1974
- Pagination: p. 1-17
- TRT Terms: Accuracy; Automobiles; Deflection; Dynamic loads; Elastoplasticity; Equations; Mathematical analysis; Nonlinear equations; Statics; Structural analysis
- Uncontrolled Terms: Dynamic response; Elastic plastic analysis; Static response
- Subject Areas: Highways; Safety and Human Factors;
- Accession Number: 00264146
- Record Type: Publication
- Report/Paper Numbers: SAE Paper No. 740317Proceeding
- Files: TRIS
- Created Date: Dec 31 1974 12:00AM