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AN "OPTIMAL" MODAL REDUCTION OF A SYSTEM WITH FRICTIONAL EXCITATION

โœ Scribed by R. KAPPAGANTU; B.F. FEENY

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
244 KB
Volume
224
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

The proper orthogonal decomposition theorem is used in an ``optimal'' modal reduction of a frictionally excited system. The chaotic dynamics are exploited in obtaining a basis that broadly represents the system's dynamics. This basis is used in a Galerkin's approximation to reduce the system order. The reduced model is validated using qualitative and quantitative means and also from the occurrance of bifurcations. The results conยฎrm the validity of the method and expose the beneยฎts of using proper orthogonal modes rather than the linear natural modes of the system.

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