Transient quasi-static Ritz vector (TQSRV) method by Krylov subspaces and eigenvectors for efficient contact dynamic finite element simulation

Title
Transient quasi-static Ritz vector (TQSRV) method by Krylov subspaces and eigenvectors for efficient contact dynamic finite element simulation
Author
윤길호
Keywords
Model order reduction method; Transient quasi-static Ritz vector method; Ritz vector method; Quasi-static Ritz vector method
Issue Date
2015-03
Publisher
ELSEVIER SCIENCE INC
Citation
APPLIED MATHEMATICAL MODELLING, v. 39, NO 9, Page. 2740-2762
Abstract
This paper presents a novel model,order reduction (MOR) method called the transient quasi-static Ritz vector (TQSRV) method for efficient transient finite element (FE) analysis. Comparing with frequency response analysis, linear transient FE analysis with a fixed time step takes less computation time as an effective dynamic stiffness matrix assembled before time marching procedure is factorized once. Nevertheless as the number of degrees of freedom of a FE model has been dramatically increased for accurate engineering simulation, even the state-of-the-art computer and software often face their limitations. For fast but accurate transient FE analysis, we present a new MOR scheme called the TQSRV method with Krylov bases spanned at multiple angular velocities and several lowest eigenvectors. By calculating transient responses of reduced FE models and comparing it with the responses of full FE models, the effectiveness and accuracy of the TQSRV method are demonstrated. (C) 2014 Elsevier Inc. All rights reserved.
URI
http://www.sciencedirect.com/science/article/pii/S0307904X14005708http://hdl.handle.net/20.500.11754/22704
ISSN
0307-904X; 1872-8480
DOI
10.1016/j.apm.2014.10.059
Appears in Collections:
COLLEGE OF ENGINEERING[S](공과대학) > MECHANICAL ENGINEERING(기계공학부) > Articles
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