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Automated multi-level substructuring for a fluid-solid vibration problem
- in Mathematics and Advanced Applications
, 2008
"... AMS subject classification. 65F15 Abstract. The Automated Multi-Level Sub-structuring (AMLS) method is a powerful technique to determine a large number of eigenpairs with moderate accuracy of huge symmetric and definite eigenvalue problems in structural analysis. This paper is concerned with an adap ..."
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AMS subject classification. 65F15 Abstract. The Automated Multi-Level Sub-structuring (AMLS) method is a powerful technique to determine a large number of eigenpairs with moderate accuracy of huge symmetric and definite eigenvalue problems in structural analysis. This paper is concerned with an adapted version of AMLS for eigenfrequency analysis of fluid-solid interaction systems. Although fluid-solid vibrations are governed by an unsymmetric eigenproblem the modified AMLS method needs approximately the same computational effort. An error bound related to the eigenvalue approximations is proved.
An Improved Method for Solving Systems of Linear Equations in Frequency Response Problems
, 2004
"... Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comment ..."
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Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway,
INTERMEDIATE REDUCTION STEPS IMPROVE AUTOMATED MULTI-LEVEL SUBSTRUCTURING
"... 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 f ..."
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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 matrices of very large di-mension. Based on Schur complements and modal approximations of submatrices on several levels AMLS constructs a projected eigenproblem which yields good approx-imations of eigenvalues at the lower end of the spectrum. In this paper we reduce the cost of AMLS introducing intermediate reduction steps. The efficiency of this approach is demonstrated by a huge gyroscopic eigenvalue problem modelling the dynamic behaviour of a rotating tyre.
