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Large amplitude free vibrations of annular plates of varying thickness
Authors:J.N. Reddy  C.L. Huang
Affiliation:Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, U.S.A.;School of Aerospace, Mechanical and Nuclear Engineering, The University of Oklahoma, Norman, Oklahoma 73019, U.S.A.
Abstract:The non-linear (i.e., large deflection) free vibrations of thick, orthotropic annular plates with varying thickness are calculated. The formulation is based on the more general Reissner plate equations as well as the von Kármán plate equations for variable thickness annular plates. Numerical results for the ratio of the non-linear period to the linear period of natural vibration are compared with those existing in the literature. New results are also included for future comparisons.
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