Nonlinear vibrations of rotating thin circular cylindrical shell |
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Authors: | Yanqi Liu Fulei Chu |
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Institution: | 1. Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, 100084, China
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Abstract: | 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. |
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Keywords: | |
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