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Structural modal reanalysis methods using homotopy perturbation and projection techniques
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DOI：10.1016/j.cma.2011.06.016.png)
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This paper focuses on the modal reanalysis of structures subjected to multiple modifications of various origins, which can greatly affect the mode shapes of these structures. The proposed methods are based on the results of a modal analysis of the original structure and on several concepts, namely homotopy perturbation, projection techniques and Taylor series expansion. A reduced basis is generated using perturbed eigenvectors and the iterative Gram Schmidt normalisation algorithm. A finite element application highlights the advantages and disadvantages of each of the proposed methods in terms of precision and computational time. (C) 2011 Elsevier B.V. All rights reserved.
Keyword:
Homotopy perturbation technique
Projection technique
Taylor series expansion
Reduced basis
Offline/online computational decomposition
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IF:
7.3
论文数:
1.3W
被引数:
5.6W
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