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A semianalytical
solution for free vibration analysis of stiffened cylindrical
shells
Guanghui Qing, Zhenyu Feng, Yanhong Liu and Jiaujun Qiu |
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Vol. 1 (2006), No. 1, 129–145
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Abstract |
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Based on a semianalytical solution of the state-vector equations, we propose a novel mathematical model for the free vibration analysis of cylindrical shells with stiffeners and for cylindrical panels with discontinuities in thickness and/or with cutouts. The shell and stiffeners are regarded as three-dimensional elastic bodies, but the same quadrilateral element is used to discretize the shell and stiffeners. The method accounts for the compatibility of displacements and stresses on the interface between layers of the laminated shell and stiffeners, for transverse shear deformation, and of course for the rotational inertia of the shell and stiffeners. To demonstrate the model’s excellent predictive abilities, several examples are analyzed numerically. The model can be easily modified to solve problems of stiffened piezolaminated plates and shells, or plates and shells with patches made of a piezoelectric material. |
Keywords
free vibration, stiffened cylindrical shells, laminated
cylindrical shells, semianalytical solution, state-vector
equation
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Milestones
Received: 24 September 2005
Revised: 10 December 2005
Accepted: 19 December 2005
Published: 1 May 2006
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Authors |
| Guanghui Qing | |
| Aeronautical Mechanics and Avionics
Engineering College Civil Aviation University of China Tianjin 300300 People’s Republic of China |
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| Zhenyu Feng | |
| Aeronautical Mechanics and Avionics
Engineering College Civil Aviation University of China Tianjin 300300 People’s Republic of China |
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| Yanhong Liu | |
| Aeronautical Mechanics and Avionics
Engineering College Civil Aviation University of China Tianjin 300300 People’s Republic of China |
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| Jiaujun Qiu | |
| Department of Mechanics and
Engineering Measurement School of Mechanical Engineering Tianjin University Tianjin 300072 People’s Republic of China |
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