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Nonlinear Static/Dynamic Analysis of the Non-Circular Cross-section Laminated Thick Column Shells

Author: OuYaoHui
Tutor: FuYiMing
School: Hunan University
Course: Engineering Mechanics
Keywords: Laminated thick non- circular cylindrical shells Geometric nonlinearity Transverse shear deformation Nonlinear vibration Nonlinear Dynamic Stability Nonlinear Dynamic Response
CLC: O342
Type: Master's thesis
Year: 2007
Downloads: 79
Quote: 1
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Abstract


Laminated thick non-circular cylindrical shell structure is often used in engineering practice, in-depth study of its static and dynamic performance with larger theoretical significance and practical value in engineering. In this paper, on the basis of the nonlinear vibration problem of laminated cylindrical shell, Nonlinear Dynamic Stability and nonlinear dynamic response of review and comment, the introduction of non-linear geometric relationship, taking into account the transverse shear deformation and the moment of inertia, nonlinear dynamic behavior of the non-circular cross-section cylindrical shell laminated. Its main research work are as follows. Elastic constitutive relation based the Timoshenko-Midlin assumptions and shell nonlinear theory, nonlinear geometric relations derived in thick shell, thick shell laminated applications Reissner variational principle LAMINATED thick shell The non-linear motion control differential equations. On the basis of the above work, based on moderate thick cylindrical shell nonlinear equation of motion control, the Galerkin technical and harmonic balance method of antisymmetric cross-ply non co-thick non-circular cross-section cylindrical shell linear free vibration problem is solved. Numerical calculation, the L-curve section of thick cylindrical shell Hinged example, discussed the impact of the cross-sectional shape parameters, diameter to thickness ratio and other factors moderate thick non-circular cross-section cylindrical shell nonlinear amplitude frequency response, and were compared with the literature. To Galerkin technical Nonlinear Mathieu equation containing only time parameters, and then laying incremental harmonic balance method of orthogonal symmetric nonlinear dynamic stability of laminated thick non-circular cylindrical shells solving. Numerical calculations to both ends of the L-curve-sectional layer together simply supported cylindrical shell and thick, for example, to discuss the cross-sectional shape parameters, geometric nonlinearity and transverse shear and other factors in thick laminated non-circular cylindrical shell non-line dynamic stability, and compared with the relevant literature. Hamilton's principle, the equations of nonlinear dynamic control of laminated thick non-circular cylindrical shells with transverse shear deformation and rotational inertia affect control equation in the space variable by trigonometric series and orthogonal point method discrete time Newmark-β method discrete and external load time is divided into small segments of time, an iterative method for solving nonlinear dynamic response of laminated thick non-circular cylindrical shells. Numerical calculations, to both ends of clamped L-curve section laminated thick cylindrical shell, for example, discussed the parameters of the cross-sectional shape, geometric nonlinearity and transverse shear deformation effects and other factors in the thick laminated non-circular cross-section cylindrical shell non- linear dynamic response, and compared with the simulation results obtained using Ansys software.

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