An Efficient Eigen-Solver and Some of Its Applications. Issue 2 (4th March 2019)

• Record Type: Journal Article
• Authors: Rezaiee-Pajand, M.; Aftabi Sani, A.; Kazemiyan, M. S.
• Is Part Of: International journal for computational methods in engineering science and mechanics. Volume 20:Issue 2(2019)
• Page Start: 130
• Page End: 152
• Publication Date: 2019-03-04
• Subjects: Subspace iteration method -- Sherman–Morrsion–Woodbury formulas -- natural frequency -- eigenvalue problem -- stiffness matrix -- sensitivity analysis; Engineering -- Data processing -- Periodicals; Engineering mathematics -- Periodicals; Computer-aided engineering -- Periodicals; 620.00420285
• DOI: 10.1080/15502287.2018.1534150
• Languages: English
• ISSNs: 1550-2287

Abstract

Abstract: This paper is mainly devoted to improve the efficiency of the subspace iteration strategy and propose practical new applications for the suggested scheme. In spite of utilizing subspace iteration method for many structures, it has not been mixed with the Sherman–Morrison–Woodbury process for problems with varying stiffness, yet. The authors' technique tries to achieve this goal. To corroborate the efficiency and capability of the present formulations, several numerical tests are performed. In order to assess the effects of various parameters on the eigenpairs of the problems, the required sensitivity analysis is also carried out.