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305 - Vibrating systems with random damping: an analytical solution based on normal modes
Heinkele C., Pernot S., Sgard F., Lamarque C.
Abstract
As an analytical solution already exists for an oscillator with random damping, we extended the expression of the general probability density function to a vibrating system with n degrees of freedom. These solution of the probabilistic problem is based on a deterministic resolution via normal modes. When the initial uncertain parameter is damping governed by a uniforme law, it is possible to define an envelope of the solution (here the modulus of the transfer function). We illustrate our approach on a vibrating Euler-Bernoulli beam.
Citation
Heinkele C.; Pernot S.; Sgard F.; Lamarque C.: Vibrating systems with random damping: an analytical solution based on normal modes, CD-ROM Proceedings of the Thirtheenth International Congress on Sound and Vibration (ICSV13), July 2-6, 2006, Vienna, Austria, Eds.: Eberhardsteiner, J.; Mang, H.A.; Waubke, H., Publisher: Vienna University of Technology, Austria, ISBN: 3-9501554-5-7