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首页> 外文期刊>International journal of structural stability and dynamics >Analytical Solution for Vibration of a Rotating Delaminated Composite Beam with End Mass
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Analytical Solution for Vibration of a Rotating Delaminated Composite Beam with End Mass

机译：端部质量旋转分层复合梁振动的解析解

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摘要

In this paper, the free vibration of rotating laminated composite beams (LCBs) with general layups and single through-the-width delamination is analytically investigated. The Hamilton's principle is used to derive the coupled governing differential equations and boundary conditions for the rotating delaminated beam, considering the effects of shear deformation, rotary inertia, material couplings (bending-tension, bending-twist and tension-twist couplings), and Poisson's effect. Both the free mode and constrained mode assumptions are adopted. Analytical solution for the natural frequencies and mode shapes are presented by incorporating the constraint conditions using the Lagrange multipliers method. The accuracy is assured by the convergence of the natural frequencies, as well as by comparison with published results. The effects of various factors such as delamination parameter, fiber angle, hub radius, material anisotropy, end mass and rotating speed are studied in detail. The difference between the results based on the free mode and constrained mode assumptions is also investigated.
机译：本文分析了旋转叠层组合梁（LCB）的自由振动，该结构具有一般的铺层和单跨宽度分层。考虑剪切剪切变形，旋转惯性，材料耦合（弯曲-拉伸，弯曲-扭曲和拉伸-扭曲耦合）和泊松效应的影响，使用汉密尔顿原理导出旋转分层梁的耦合控制微分方程和边界条件。影响。自由模式和约束模式假设均被采用。通过使用拉格朗日乘数法合并约束条件，给出了固有频率和振型的解析解。通过固有频率的收敛以及与公开结果的比较来确保精度。详细研究了分层参数，纤维角度，轮毂半径，材料各向异性，端质量和旋转速度等各种因素的影响。还研究了基于自由模式和约束模式假设的结果之间的差异。

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