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A Comparison of Mode-Acceleration and Ritz Vector Reduced Basis Procedures in Transient Analysis
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Abstract
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 [9] and Noor and Lowder [10].
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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.Also In
References
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