Abstract
We establish a robust algorithm to analyze the influence of system uncertainties on the transmission error of a spur gear pair under 2D simplification. The algorithm provides a way of generating smooth cutter profiles with machining uncertainties and measuring the thermal deformation through the uncertainties in material properties. Then, it produces realizations of gear tooth profiles based on the analytical method for accuracy and computational efficiency. Numerical investigations show the statistical analysis on the tooth contact analysis by comparing steel and plastic gears. It is worthwhile remarking that the plastic gear is susceptible to the geometric error caused by thermal deformation. Moreover, although the impact of thermal deformation on steel gear may seem slim, it can have a noticeable influence when it exists with mechanical uncertainties together.
Highlights
The gear system is a complex elastic mechanical system that is widely used for power transmission in industries
We proposed an analytical method that calculates the Transmission Error (TE) of a spur gear pair by considering various materials and statistically analyzed the range of the TE caused by various uncertainties
In contrast to the conventional approach, which considers only the mechanical uncertainty, we considered the thermal deformation for tooth contact analysis
Summary
The gear system is a complex elastic mechanical system that is widely used for power transmission in industries. Accurate prediction of the TE is indispensable for precise and reliable transmission system design It is not easy because a typical gear system has numerous uncertainties, such as lubrication, material nonlinearity, contact, geometrical tolerance, and nonlinear input loading condition [3,4]. Li [9] quantitatively investigated the effects of machining errors, pitch errors, and tooth modifications on the load sharing ratio and TE by using specially developed FEM software. It generates a gear tooth profile machined with an arbitrary cutter shape, which is analyzed using the analytical method. To calculate the TE, the displacement due to thermal deformation estimated using the FEM is considered for tooth contact analysis.
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