A MATHEMATICAL MODEL FOR ANALYZING THE INFLUENCE OF SHAPE DEVIATIONS AND MOUNTING ERRORS ON GEAR DYNAMIC BEHAVIOUR
A MATHEMATICAL MODEL FOR ANALYZING THE INFLUENCE OF SHAPE DEVIATIONS AND MOUNTING ERRORS ON GEAR DYNAMIC BEHAVIOUR
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DOI：
10.1006/jsvi.1996.0148
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发表时间：
1996-04
影响因子：
4.7
通讯作者：
P. Velex;M. Maatar
中科院分区：
文献类型：
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作者：
P. Velex;M. Maatar
本文提出了一个综合的数学模型，用以分析形状偏差和安装误差对齿轮动力学的影响。刚性和可变形固体的接触条件用于表征齿轮组激励源。变形状态由小齿轮和大齿轮上的六自由度集中参数非线性系统建模。基平面上的每个潜在的接触线离散在独立的基本单元的恒定刚度和一个原始的程序，提出了同时解决主动齿面和运动方程之间的正常接触问题。与文献中的几个结果的比较证明了该模型的通用性，静态和动态载荷分布，传动误差和啮合刚度可以从一个统一的方法进行评估。最后，通过齿轮动力学中的一些实际问题说明了该方法的意义：即，一些几何误差的影响和线性修形对正齿轮和斜齿轮的作用。
Abstract A comprehensive mathematical model is introduced for analyzing the influence of shape deviations and mounting errors on gear dynamics. Contact conditions for both rigid and deformable solids are used for characterizing the gear set excitation sources. The deformed state is modeled by a lumped parameter non-linear system with six degrees-of-freedom on pinion and gear. Each potential contact line on the base plane is discretized in independent elementary cells of constant stiffness and an original procedure is proposed for simultaneously solving the normal contact problem between active flanks and the equations of motion. Comparisons with several results from the literature prove the versatility of the model as static and dynamic load distributions, transmission errors and mesh stiffnesses can be evaluated from a unified approach. Finally, the interest of the methodology is illustrated by some practical problems in gear dynamics: i.e., the influence of some geometrical errors and the role of linear profile modifications on spur and helical gears.