A Comparison of Mode-Acceleration and Ritz Vector Reduced Basis Procedures in Transient Analysis 880908
Reduced basis techniques and the method of mode-acceleration are applied to transient analysis of simple beam and truss structures. It is noted that the method of mode-acceleration effectively recovers the first Ritz vector used in Ritz procedures. The theoretical basis for Lanczos algorithms that generate Ritz vectors is explained. Both mode-acceleration and Ritz procedures are found, generally, to be more accurate than mode-displacement in calculation of transient shear stresses, moments and normal stresses. Reanalysis using Ritz vectors is discussed following Kitis and Pilkey  and Noor and Lowder .
Citation: Drucker, D., Lou, M., Wang, S., and Kline, K., "A Comparison of Mode-Acceleration and Ritz Vector Reduced Basis Procedures in Transient Analysis," SAE Technical Paper 880908, 1988, https://doi.org/10.4271/880908. Download Citation
Daniel S. Drucker, Maurice Lou, Semyung Wang, Kenneth A. Kline
Wayne State Univ.
International Conference on Vehicle Structural Mechanics
Proceedings of the Seventh International Conference on Vehicle Structural Mechanics-P-210