Free vibrations of fluid–solid structures are governed by unsymmetric eigenvalue problems. A common approach which works fine for weakly coupled systems is to project the problem to a space spanned by modes of the uncoupled system. For strongly coupled systems, however, the approximation properties are not satisfactory. This paper reports on a framework for taking advantage of the structure of the unsymmetric eigenvalue problem allowing for a variational characterization of its eigenvalues and structure preserving iterative projection methods. We further cover an adjusted automated multilevel substructuring (AMLS) method for huge fluid–solid structures. The reliability and efficiency of the method are demonstrated by the free vibrations of a structure completely filled with water.
Structural-Acoustic Vibration Problems in the Presence of Strong Coupling
Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received March 14, 2011; final manuscript received November 3, 2011; published online November 28, 2012. Assoc. Editor: Samir Ziada.
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Voss, H., and Stammberger, M. (November 28, 2012). "Structural-Acoustic Vibration Problems in the Presence of Strong Coupling." ASME. J. Pressure Vessel Technol. February 2013; 135(1): 011303. https://doi.org/10.1115/1.4007251
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