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TRANSIENT TORSIONAL WAVE IN FINITE HOLLOW CYLINDER WITH INITIAL AXIAL STRESS
Authors:Huiming Wang  Weiqiu Chen
Affiliation:Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China
Abstract:An analytical solution is obtained for transient torsional vibration of a finite hollow cylinder with initial axial stress. The cylinder is subjected to dynamic shearing stress at the internal surface and is fixed at the external surface. The basic equations are presented and the solution is obtained by means of Fourier series expansion technique and the separation of variables method.The effects of the initial stress on the natural frequencies and transient torsional responses are presented and discussed.
Keywords:analytical solution  transient torsional response  finite hollow cylinder  initial stress
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