基于CUF理论的旋转轴自由振动特性分析

基于卡雷拉统一定理(Carrera unified formulation,CUF)建立了经典边界条件下旋转轴的动力学分析模型。利用CUF框架,将完整的三维动力学模型简化为具有三维求解精度的一维动力学模型。旋转轴的位移场利用二维泰勒公式和改进傅里叶级数进行构建,边界条件则采用罚函数法进行处理,然后结合能量泛函和Hamilton原理对其振动特性进行求解。通过与有限元结果进行对比,验证了此方法的有效性和正确性。在此基础上,研究了边界罚函数因子、几何参数和旋转速度等参数对旋转轴振动特性的影响。该方法具有高效和高精度等特点,为研究旋转轴的振动特性提供了有效的分析手段。

Dynamic Characteristics Analysis of Multilayer Fiber Reinforced Plastic Shaft

In order to study the dynamic characteristics of multilayer fiber reinforced plastic(MFRP)shaft,the coupling model of three-dimensional equivalent bending stiffness theory and transfer matrix method is established,and the influence of thickness-radius ratio,length-radius ratio,layer angles,layer proportion,and stacked approaches on MFRP shaft dynamic characteristics is investigated.The result shows that the proposed coupling model has high accuracy in MFRP shaft dynamic performance prediction.The proportion of small-angle layers is the decisive factor of MFRP shaft natural frequency.With the increase of thickness-radius ratio and length-radius ratio,the natural frequency of MFRP shaft decreases.The natural frequency of MFRP shaft with the angle layers combination of±45°and±90°is smaller compared with the metal shaft no matter in simple/free boundary condition or simple/simple supported boundary condition.