An Adaptive Dynamic Relaxation Method for Static Problems
The present paper re-defines the parameters of the dynamic relaxation method for static problems and examines how they affect the rate of convergence of the method. A new adaptive scheme is used to improve the efficiency and accuracy of the method. The scheme involves using the current residual vector to update the lower frequency limit during integration and to improve the accuracy of the converged solution. The new approach compares favorably with the results of a previously proposed adaptive method.
KeywordsConvergence Rate Steady State Solution High Mode Integration Scheme Adaptive Scheme
Unable to display preview. Download preview PDF.
- 1.Tong, P. and Rossettos J., ‘Finite Element Methodș MIT Press, 1977.Google Scholar
- 2.Tong, P., ‘on the Numerical Problems of Finite Element Methods,’ Computer Aided Engineering, 539–559, Ed. by G. M. Gladwell, Univ. of Waterloo, Canada, 1971.Google Scholar
- 3.Underwood, P., ‘An Adaptive Dynamic Relaxation Method for Linear and Nonlinear Analyses,’ Lockheed Report.Google Scholar
- 8.Tong, P., ‘Automobile Crash Dynamics and Numerical Integration Methods,’ presented at Symposium on Frontier in Applied Mechanics, University of Calif, at San Diego, July 1984.Google Scholar
- 11.Irons, B. M. and Treharne, G., ‘A Bound Theorem in Eigenvalues and Its Practical Applications,’ Proc. of the Third Conf. on Matrix Methods in Structural Mechanics, Wright- Patterson, AFB, Ohio, 1971, AFFDL-TR-71–160.Google Scholar