| 变截面功能梯度旋转轴的自由振动特性 |
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| 引用本文： | 李震,关先磊,王青山,秦斌.变截面功能梯度旋转轴的自由振动特性[J].噪声与振动控制,2021,41(2):42-49. |
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| 作者姓名： | 李震 关先磊 王青山 秦斌 |
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| 作者单位： | 中南大学高性能复杂制造国家重点实验室;中南大学交通运输工程学院轨道交通安全教育重点实验室 |
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| 基金项目： | 国家自然科学基金资助项目(51705537)。 |
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| 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...
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| 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 |
Free Vibration Characteristics of Functionally Gradient Rotating Shafts with Variable Sections |
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| LI Zhen,GUAN Xianlei,WANG Qingshan,QIN Bin.Free Vibration Characteristics of Functionally Gradient Rotating Shafts with Variable Sections[J].Noise and Vibration Control,2021,41(2):42-49. |
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| Authors: | LI Zhen GUAN Xianlei WANG Qingshan QIN Bin |
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| Affiliation: | (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) |
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| 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. |
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| Keywords: | vibration and wave differential quadrature functionally gradient rotation shaft taper coefficient with variable cross-section gradient coefficient natural frequency critical speed |
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