The Lanczos Method in Structural Dynamicsby D. W. Keck, Georgia Inst of Technology, Atlanta, GA, USA,
C. Y. Liao, Georgia Inst of Technology, Atlanta, GA, USA,
K. M. Will, Georgia Inst of Technology, Atlanta, GA, USA,
Abstract: The solution of the equations of motion often results in the solution of an eigenvalue problem in which the system matrices are large. Traditionally, the solution of this problem has employed reduction methods such as Guyan reduction and subspace iteration. Recently, the Lanczos method has been shown to be superior to these other reduction methods. The objectives are to present an overview of the Lanczos method, discussion of the computer implementation of the Lanczos method in GTSTRUDL, and examples illustrating the advantages of the method.
Subject Headings: Dynamic structural analysis | Equations of motion | Structural dynamics | Numerical methods | Eigenvalues | Matrix (mathematics) | Computing in civil engineering
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