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Part 1: Dynamical Characterization of a Frictionally Excited Beam

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Abstract

The dynamics of an experimental frictionally excited beam areinvestigated. The friction is characterized and shown to involve contactcompliance. Beam displacements are approximated from strain gagesignals. The system dynamics are rich, including a variety of periodic,quasi-periodic and chaotic responses. Proper orthogonal decomposition isapplied to chaotic data to obtain information about the spatialcoherence of the beam dynamics. Responses for different parameter valuesresult in a different set of proper orthogonal modes. The number ofproper orthogonal modes that account for 99.99% of the signalpower is compared to the corresponding number of linear normal modes,and it is verified that the proper orthogonal modes are more efficientin capturing the dynamics.

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Authors and Affiliations

  1. Altair Engineering, Inc., 1755 Fairlane Drive, Allen Park, MI, 48101, U.S.A.

    R. V. Kappagantu

  2. Department of Mechanical Engineering, Michigan State University, East Lansing, MI, 48824, U.S.A.

    B. F. Feeny

Authors
  1. R. V. Kappagantu
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  2. B. F. Feeny
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Kappagantu, R.V., Feeny, B.F. Part 1: Dynamical Characterization of a Frictionally Excited Beam. Nonlinear Dynamics 22, 317–333 (2000). https://doi.org/10.1023/A:1008344005183

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