ANALYSIS ON THE INTERNAL RESONANCE OF AXIALLY&nbsp;&nbsp; MOVING LAMINATED THIN CYLINDRICAL SHELLS

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (22) : 82-86.

ANALYSIS ON THE INTERNAL RESONANCE OF AXIALLY MOVING LAMINATED THIN CYLINDRICAL SHELLS

Zhang Yu-Fei 1,3，Wang Yan-Qing 2， Wen Bang-Chun3

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Abstract

A thin composite circular cylindrical shell moving in axial direction is investigated in this paper. Based on Donnell’s nonlinear shallow-shell theory, together with classical laminated shell theory, nonlinear vibration equation of the system is derived, in which the effect of dynamic Young’s modulus, damping and geometric large-amplitude are considered. The modal expansion with four generalized coordinates is adopted, and the vibration equation is discretized by using the Galerkin method. Applying variable step-size four-order Runge-Kutta method, we solve the nonlinear modal equations of the system, and obtain nonlinear frequency-response curves, which show 1:1:1:1 internal resonance phenomenon in the system. At last, the effects of moving speed, damping coefficients and amplitudes of external force on the nonlinear vibration response of the shell are also investigated.

Key words

composite circular cylindrical shell / dynamic Young’s modulus / internal resonance / axially moving / response

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Zhang Yu-Fei 1,3，Wang Yan-Qing 2， Wen Bang-Chun3. ANALYSIS ON THE INTERNAL RESONANCE OF AXIALLY MOVING LAMINATED THIN CYLINDRICAL SHELLS[J]. Journal of Vibration and Shock, 2015, 34(22): 82-86

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