Subspace Iteration for Eigen-Solution of Fluid-Structure Interaction Problems

[+] Author and Article Information
I.-W. Yu

Westinghouse Research and Development Center, Pittsburgh, Pa. 15235

J. Pressure Vessel Technol 109(2), 244-248 (May 01, 1987) (5 pages) doi:10.1115/1.3264903 History: Received January 08, 1986; Revised August 13, 1986; Online November 05, 2009


The subspace iteration method, commonly used for solving symmetric eigenvalue problems in structural dynamics, can be extended to solve nonsymmetric fluid-structure interaction problems in terms of fluid pressure and structural displacement. The two cornerstones for such extension are a nonsymmetric equation solver for the inverse iteration and a nonsymmetric eigen-procedure for subspace eigen-solution. The implementation of a nonsymmetric equation solver can easily be obtained by modifying the existing symmetric procedure; however, the nonsymmetric eigen-solver requires a new procedure such as the real form of the LZ -algorithm. With these extensions the subspace iteration method can solve large fluid-structure interaction problems by extracting a group of eigenpairs at a time. The method can generally be applied to compressible and incompressible fluid-structure interaction problems.

Copyright © 1987 by ASME
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