Nonlinear Dynamics

, Volume 67, Issue 2, pp 1467–1479 | Cite as

Nonlinear vibrations of rotating thin circular cylindrical shell

  • Yanqi Liu
  • Fulei Chu
Original Paper


Nonlinear vibrations of thin circular cylindrical shells are investigated in this paper. Based on Love thin shell theory, the governing partial differential equations of motion for the rotating circular cylindrical shell are formulated using Hamilton principle. Taking into account the clamped-free boundary conditions, the partial differential system is truncated by using the Galerkin method. Sequentially, the effects of temperature, geometric parameters, circumferential wave number, axial half wave number and rotating speed on the nature frequency of the rotating circular cylindrical shell are studied. The dynamic responses of the rotating circular cylindrical shell are also investigated in time domain and frequency domain. Then, the effects of nonlinearity, excitation and damping on frequency responses of steady solution are investigated.


Circular cylindrical shell Nonlinear vibrations Frequency response Clamped-free boundary conditions 


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Precision Instruments and MechanologyTsinghua UniversityBeijingChina

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