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

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • M. Stammberger

    (Hamburg University of Technology, Institute of Numerical Simulation)

  • H. Voss

    (Hamburg University of Technology, Institute of Numerical Simulation)

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.

Suggested Citation

  • M. Stammberger & H. Voss, 2008. "Automated Multi-Level Substructuring for a Fluid-Solid Vibration Problem," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 563-570, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_67
    DOI: 10.1007/978-3-540-69777-0_67
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