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研究考虑横向剪切的旋转运动复合材料薄壁梁的动力学特性。采用变分渐进法描述位移和应变并且引入横向剪切变形的影响,由Hamilton原理推导出Timoshenko梁的动力学模型,采用Galerkin法对薄壁梁进行自由振动分析,并且将计算结果与现有的有限元计算结果进行对比,验证了该文动力学模型的有效性。进一步针对周向均匀刚度配置(CUS)的箱型和翼型薄壁梁进行固有频率的计算,揭示了纤维铺层角、转速和结构参数对薄壁梁动力学特性的影响。
The dynamic characteristics of thin-walled beams with rotational motion considering lateral shear are studied. Using the method of variational asymptotic method to describe the displacement and strain and introducing the influence of transverse shear deformation, the dynamic model of Timoshenko beam is deduced by Hamilton principle. The free-vibration analysis of thin-walled beam is carried out by Galerkin method, and the results are compared with the existing finite element Comparing the results, the validity of the dynamic model is verified. Furthermore, the natural frequency of box-type and airfoil thin-walled beams with circumferential uniform stiffness configuration (CUS) is calculated. The influence of fiber lay-off angle, rotation speed and structural parameters on the dynamic characteristics of thin-walled beam is revealed.