Reduction of the number of unknowns in the displacement method applied to kinetic problems

Uhrig, Richard

doi:10.1016/0022-460x(66)90118-0

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Algorithm For Subspace Iteration Methods1

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2018

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Cited by 6 publications

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“…Another potential option is to include the conventional Ritz analysis in which the specified load patterns can represent a reasonable first approximation. The algorithm proposed by Uhrig [38] based on the component mode synthesis is also sometimes applied.…”

Section: Algorithm For Subspace Iteration Methodsmentioning

confidence: 99%

Eigenvalue solution for arch dams: ADAD-IZIIS Software

2018

JCE

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3D earthquake analyses of complex engineering structures such as arch dams are based on the determination of a range of eigenvalues and associated eigenvectors. Despite the variety of practical numerical eigensolutions available in the literature, the method of subspace iteration was found to offer time efficient and accurate eigenvalue solutions appropriate for large systems with high degrees of freedom. This paper presents the theoretical principles of the well known subspace iteration method implemented in the existing ADAD-IZIIS software for finite-element analyses of arch dams.

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Section: Algorithm For Subspace Iteration Methodsmentioning

confidence: 99%