An efficient matrix tridiagonalization method for 3D finite element analysis of free vibration

DOI10.1016/j.matcom.2019.12.017OpenAlexW3000552625WikidataQ126398054 ScholiaQ126398054MaRDI QIDQ1998010

S. Otarawanna, C. Siriparu, N. Prasomsuk, N. Paoprasert, Atipong Malatip

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2019.12.017

zbMATH Keywords

eigenvalue problemorthogonalityfree vibrationmatrix tridiagonalizationblock Lanczos

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Mechanics of particles and systems (70-XX)

Related Items (2)

Modes and modal analysis of three-dimensional (3D) structures based on the smoothed finite element methods (S-FEMs) using automatically generatable tetrahedral meshes ⋮ Bending analysis of simply supported and clamped thin elastic plates by using a modified version of the LMFS

Cites Work

• Singular value decompositions of complex symmetric matrices
• The Lanczos Algorithm With Partial Reorthogonalization
• Computer Techniques in Vibration
• Tracking the Progress of the Lanczos Algorithm for Large Symmetric Eigenproblems
• Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix
• The Lanczos Algorithm with Selective Orthogonalization
• Application of the finite element method for the evaluation of velocity response of anvils
• Unitary Triangularization of a Nonsymmetric Matrix
• Introduction to Finite Element Vibration Analysis
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