【摘要】 基于微分求积有限元(DQFEM)和铁木辛柯梁理论研究轴向变截面功能梯度旋转轴自由振动特性。首先利用上述理论和方法建立理论分析模型;然后将基于该模型所得的计算结果与已有文献和有限元软件ANSYS进行对比验证,结果表明该模型具有准确性、稳定性和通用性;最后采用上述模型分别研究变截面锥度系数和梯度系数对转轴固有频率和临界转速的影响,结果表明变截面锥度系数和梯度系数均会对转轴的固有频率和临界转速产生不同程度影响。同时发现转轴涡动频率(固有频率)会随转速增加发生分岔现象。更多还原

【Abstract】 Based on the differential quadrature finite element method(DQFEM) and the theory of Timoshenko beams,the free vibration characteristics of the functionally gradient rotating shaft with variable cross-sections are studied. Firstly,the theoretical analysis model is established by using the above theory and method. Then, the calculation results of the presented model are compared with those of the existing literatures and the finite element software ANSYS for verification. The results show that the model is accurate, stable and universal. Finally, the influences of the taper coefficient and gradient coefficient on the natural frequency and critical speed of the shaft are investigated by using the established model. The corresponding results show that both the taper coefficient and gradient coefficient have different effects on the natural frequency and critical speed. Meanwhile, it is worth mentioning that the torrsional natural frequency of the shaft will bifurcate with the rotating speed increasing.更多还原