A Novel Comprehensive Method for Modeling and Analysis of Mesh Stiffness of Helical Gear
A Novel Comprehensive Method for Modeling and Analysis of Mesh Stiffness of Helical Gear
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斜齿轮啮合刚度建模与分析的一种新的综合方法
DOI：
10.3390/app10196695
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发表时间：
2020-09
影响因子：
2.7
通讯作者：
Wang Changlu
中科院分区：
文献类型：
--
作者：
Hou Shaoshuai;Wei Jing;Zhang Aiqiang;Zhang Chunpeng;Yan Junhui;Wang Changlu
在航空航天应用中，齿轮副的啮合刚度对振动和噪声有重要影响，如齿轮传动涡扇。为弥补传统方法未同时考虑片耦合和结构耦合的不足，建立了计算斜齿轮啮合刚度的综合数学模型。在该模型中，考虑了相邻齿轮间的结构耦合和片间耦合的影响。同时考虑了啮合力轴向分量的影响。综合模型的计算结果与有限元方法一致，证明了该数学模型的合理性。研究了螺旋角和齿顶修正系数对啮合刚度的影响。结果表明，由于结构耦合，斜齿轮在多齿区啮合刚度会降低。考虑轴向分量或不考虑轴向分量时，啮合刚度的相对平均值随着螺旋角的增大而增大。当齿顶修正系数为正时，网格刚度波动值减小。齿顶的修改也改变了网格刚度的相位。该研究有助于齿轮传动系统的振动分析。
The mesh stiffness of gear pairs used in aerospace applications, such as geared turbofan, has a vital influence on vibration and noise. To compensate for the deficiencies of the conventional method that does not consider slice coupling and structure coupling simultaneously, a comprehensive mathematical model for computing the mesh stiffness of helical gears is established. In this novel model, the effect of structure coupling and slice coupling between neighboring sliced gears are considered. The effect of the axial component of meshing force is also taken into account simultaneously. The results obtained by the comprehensive model are consistent with the finite element method and it proves that the novel mathematical model is sound. The influences of the helical angle and addendum modification coefficient on mesh stiffness are studied. The results show that the mesh stiffness of helical gears would be decreased in multiteeth regions caused by structure coupling. With or without consideration of the axial component, the relative mean values of mesh stiffness become larger with an increasing helical angle. The fluctuation value of mesh stiffness decreases when a positive addendum modification coefficient is adopted. The addendum modification also changes the phase of mesh stiffness. This study is helpful for a vibration analysis of gear transmission systems.
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DOI：
10.1243/095440604322787009
发表时间：
2004-01
期刊：
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
影响因子：
--
作者：
J. Wang;Ian Howard
通讯作者：
J. Wang;Ian Howard
DOI：
10.1115/1.3267437
发表时间：
1987-06-01
期刊：
JOURNAL OF MECHANISMS TRANSMISSIONS AND AUTOMATION IN DESIGN-TRANSACTIONS OF THE ASME
影响因子：
--
作者：
YANG, DCH;LIN, JY
通讯作者：
LIN, JY
DOI：
10.1243/0954406011524153
发表时间：
2001-07
期刊：
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
影响因子：
--
作者：
R. G. Munro;Derrol Palmer;L. Morrish
通讯作者：
R. G. Munro;Derrol Palmer;L. Morrish
侧隙对正齿轮啮合刚度和非线性动力学影响的研究
影响因子：
2.7
作者：
Xiong Yangshou;Huang Kang;Xu Fengwei;Yi Yong;Sang Meng;Zhai Hua
通讯作者：
Zhai Hua
影响因子：
1.6
作者：
M. Rezaei;M. Poursina;S. H. Jazi;F. H. Aboutalebi
通讯作者：
M. Rezaei;M. Poursina;S. H. Jazi;F. H. Aboutalebi