A vectorized out-of-core Lanczos eigen-solver for structural vibration problems

Qin, Jiangning; Duc, Tung Le

doi:10.2514/6.1994-1317

Cited by 2 publications

(2 citation statements)

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“…Research has indicated that computers with parallel and vector processing capability can perform computations much faster than the traditional scale sequential computers [2,3,4] With regard to the topic of this study, sensitivity analysis is emerging as a fruitful area of engineering research. The reason for this interest is the recognition of the variety of uses for sensitivity derivatives, which range from automatic control theory to the analysis of large-scale psychological systems.…”

Section: Parallel-mentioning

confidence: 99%

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Parallel-vector design sensitivity analysis in structural dynamics

Zhang

Nguyen

1992

Computing Systems in Engineering

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In this study, the design sensitivity analysis is for the purpose of providing constraint derivative information for structural optimization under dynamic loads. Various existing formulations are reviewed, and the direct differentiation method is justified as the best one for design sensitivity analysis in structural dynamics. An alternative formulation for design sensitivity analysis with direct differentiation method is developed. The alternative formulation works efficiently with the reduced system of dynamic equations, and it eliminates the need for expensive and complicated eigenvector derivatives, which is required in the existing reduced system formulation. The relationship of the alternative formulation and the existing reduced system formulation is established originally, and it is proven analytically that the two approaches are identical, when the transformation is exact, i.e, when all the modes are included. The alternative approach is accurate, simple, and efficient. Eigenvectors are used as the base vectors in system reduction for both dynamic response analysis and the design sensitivity analysis. Lanczos algorithm is Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.

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Section: Parallel-mentioning

confidence: 99%

“…Parallel-vector eigen-solver [3] developed based on the Lanczos algorithm is applied. The Lanczos method has been presented in Chapter 2.…”

Section: 5 T H E P a R A L L E L -V E C T O R E I G E N S Y S T Ementioning

confidence: 99%