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。
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.
作者
李震
关先磊
王青山
秦斌
LI Zhen;GUAN Xianlei;WANG Qingshan;QIN Bin(State Key Laboratory of High Performance Complex Manufacturing,Central South University,Changsha 410083,China;Key Laboratory of Traffic Safety on Tracks,Ministry of Education,School of Traffic and Transportation Engineering,Central South University,Changsha 410075,China)
出处
《噪声与振动控制》
CSCD
北大核心
2021年第2期42-49,共8页
Noise and Vibration Control
基金
国家自然科学基金资助项目(51705537)。
关键词
振动与波
微分求积
功能梯度旋转轴
变截面锥度系数
梯度系数
固有频率
临界转速
vibration and wave
differential quadrature
functionally gradient rotation shaft
taper coefficient with variable cross-section
gradient coefficient
natural frequency
critical speed
