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Nonlinear Frequency and Bifurcation Phenomenon of Carbon Fiber Reinforced Polymer Truncated Laminated Conical Shell Based on First-Order Shear Deformation Theory
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  • S. W. Yang,
  • Y.X. Hao,
  • L. Yang,
  • L.T. Liu
S. W. Yang
Beijing Information Science and Technology University

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Y.X. Hao
Beijing Information Science and Technology University
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L. Yang
Beijing Information Science and Technology University
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L.T. Liu
Beijing Information Science and Technology University
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Abstract

In this paper, the dynamic model of a carbon fiber reinforced polymer (CFRP) truncated laminated conical shell based on the first-order shear deformation theory is established. The free and forced vibration analyses of the CFRP truncated laminated conical shell are presented. By utilizing the Hamilton principle, the first-order shear deformation shell theory and the von-Karman type nonlinear geometric relationships, a system of the partial differential governing equations for the CFRP truncated laminated conical shell is derived. The ordinary differential equations of the cylindrical shell are obtained according to Galerkin method. Then, the analytical nonlinear frequencies of the CFRP truncated laminated conical shell are solved by using the harmonic balance method. The nonlinear dynamic responses of the CFRP truncated laminated conical shell are obtained via the Runge-Kutta algorithm. The present method are validated by carrying out some comparisons with the existing results in the published literatures. A parametric study is conducted to investigate the effects of the temperatures of outside surfaces and the ratio of length to thickness as well as ratio of radius to length of the CFRP truncated laminated conical shell on the nonlinear free and forced vibration behaviors.