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Buckling and free vibration of eccentric rotating CFRP cylindrical shell base on FSDT
Applied Mathematical Modelling ( IF 4.4 ) Pub Date : 2021-02-28 , DOI: 10.1016/j.apm.2021.02.029
S.W. Yang , Y.X. Hao , W. Zhang , L. Yang , L.T. Liu

In this paper, the dynamic model of an eccentric rotating carbon fiber reinforced polymer (CFRP) laminated cylindrical shell based on the first-order shear deformation theory is established for the first time. The buckling and free vibration analyses of the eccentric rotating CFRP laminated cylindrical shell under the axial excitation are presented. Taking into account the influences of Coriolis force and centrifugal force caused by eccentric rotation. By utilizing the Hamilton principle, the first-order shear deformation theory and the von-Karman type nonlinear geometric relationship, a system of the partial differential governing equations for the eccentric rotating CFRP laminated cylindrical shell is derived. Then, the ordinary differential equations of the eccentric rotating CFRP laminated cylindrical shell are obtained according to Galerkin method. The present method are validated by carrying out some comparisons with the existing results in the published literatures. The natural frequencies and critical buckling loads of the system are solved numerically. In this study, the influences of the eccentric distance, ratio of radius to length, rotating speed as well as the number of layers of the eccentric rotating CFRP laminated cylindrical shell on the buckling and free vibration behaviors are discussed.



中文翻译:

基于FSDT的偏心旋转CFRP圆柱壳的屈曲和自由振动。

本文基于一阶剪切变形理论,首次建立了偏心旋转碳纤维增强聚合物(CFRP)层合圆柱壳的动力学模型。给出了偏心旋转CFRP叠层圆柱壳在轴向激励下的屈曲和自由振动分析。考虑到偏心旋转引起的科里奥利力和离心力的影响。利用汉密尔顿原理,一阶剪切变形理论和von-Karman型非线性几何关系,推导了偏心旋转CFRP叠合圆柱壳偏微分控制方程组。然后,根据Galerkin方法获得了偏心旋转CFRP叠层圆柱壳的常微分方程。通过与已发表文献中的现有结果进行一些比较,验证了本方法的有效性。数值求解了系统的固有频率和临界屈曲载荷。在这项研究中,讨论了偏心距,半径与长度之比,旋转速度以及偏心旋转CFRP叠层圆柱壳的层数对屈曲和自由振动行为的影响。

更新日期:2021-03-12
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