考虑剪切变形旋转运动复合材料薄壁梁的 动力学特性

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。

DYNAMIC ANALYSIS OF ROTATING COMPOSITE THIN-WALLED BEAMS WITH SHEAR DEFORMATION

This paper presents a theoretical study of the dynamic characteristics of rotating thin-walled composite beams with shear deformation. A variational asymptotically approach is employed to describe the relationship between the displacement and strain, which also describes the shear deformation effects. Considering shear deformation and cross section warping, the equations of motion of the rotating beams are derived using Hamilton’s principle. The Galerkin method is used in order to analysis the free vibration behaviors of the model. Comparison of the theoretical solutions has been made with the results obtained from the finite element analysis, which prove the validity of the proposed model. Natural frequencies are obtained for two Circumferentially Uniform Stiffness (CUS) beams: box section composite beams and airfoil profile composite beams. The effects of fiber orientation, rotating speed and structure parameters on modal frequencies are investigated