Acta Mechanica Solida Sinica

, Volume 21, Issue 6, pp 536–541 | Cite as

Transient torsional wave in finite hollow cylinder with initial axial stress

Article

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.

Key words

analytical solution transient torsional response finite hollow cylinder initial stress 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2008

Authors and Affiliations

  1. 1.Department of Mechanics, School of Aeronautics and AstronauticsZhejiang UniversityHangzhouChina

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