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Substructuring Method for Eigensolutions
In this chapter, the commonly used Lanczos algorithm and subspace iteration methods for eigensolutions are first introduced. Also, the traditional substructuring methods for eigensolutions, such as the component mode synthesis method and Kron’s substructuring method, are illustrated. To improve the computational inefficiency of Kron’s substructuring method, a modal truncation approximation is proposed and will be elaborated. Only the lowest eigensolutions of the substructures need to be calculated. The discarded higher eigensolutions are compensated by the first-order residual flexibility or the second-order residual flexibility. The division of substructures and the selection of master modes in each substructure are also introduced.
Substructuring Method for Eigensolutions
In this chapter, the commonly used Lanczos algorithm and subspace iteration methods for eigensolutions are first introduced. Also, the traditional substructuring methods for eigensolutions, such as the component mode synthesis method and Kron’s substructuring method, are illustrated. To improve the computational inefficiency of Kron’s substructuring method, a modal truncation approximation is proposed and will be elaborated. Only the lowest eigensolutions of the substructures need to be calculated. The discarded higher eigensolutions are compensated by the first-order residual flexibility or the second-order residual flexibility. The division of substructures and the selection of master modes in each substructure are also introduced.
Substructuring Method for Eigensolutions
eng. Applications of Computational Methods
Weng, Shun (author) / Zhu, Hongping (author) / Xia, Yong (author)
2023-07-04
35 pages
Article/Chapter (Book)
Electronic Resource
English
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