Automated Multi-Level Substructuring for a Fluid-Solid Vibration Problem

M. Stammberger () and H. Voss ()
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M. Stammberger: Hamburg University of Technology, Institute of Numerical Simulation
H. Voss: Hamburg University of Technology, Institute of Numerical Simulation

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 563-570 from Springer

Abstract: Abstract The Automated Multi-Level Substructuring (AMLS) method has been developed to reduce the computational demands of frequency response analysis and has recently been proposed as an alternative to iterative projection methods like Lanczos or Jacobi–Davidson for computing a large number of eigenvalues for huge symmetric eigenvalue problems. Based on Schur complements and modal approximations of submatrices on several levels AMLS constructs a projected eigenproblem which yields good approximations of eigenvalues at the lower end of the spectrum. In this paper we discuss a structure preserving AMLS variant for nonsymmetric eigenproblems governing free vibrations of fluid–solid structures.

Keywords: Eigenvalue Problem; Free Vibration; Coupling Matrix; Frequency Response Analysis; Matrix Pencil (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_67

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DOI: 10.1007/978-3-540-69777-0_67

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