A Precise and Efficient Method to Manipulate the Amplitude of Parabolic Function of Transmission Errors

Abstract:

This paper proposes a system of nonlinear equations to manipulate the amplitude of parabolic function of transmission errors. Firstly, the characteristics of parabolic function of transmission errors are defined. Then, a system of nonlinear equations for manipulating the amplitude of parabolic function of transmission errors is created based on both the conditions of contact and the constraint on the amplitude of function of transmission errors. As the number of independent scalar equations in the system minus the number of unknown parameters is one, one extra design parameter can be applied to manipulate the amplitude of parabolic function of transmission errors. The solution to the extra design variable is automatically, precisely, and efficiently determined by the computer program which is created based on the Newton’s root finding method. The time-consuming manual iterations for trying the value of design variable are eliminated. The proposed method can be applied to both two-and three-dimensional gearing problems. At last, a pair of meshing gears composed of a circular-arc spur gear and an involute spur gear is presented to verify the methodology proposed in this paper.

• Periodical: Advanced Materials Research (Volume 1064)
• Pages: 183-190
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1064.183
• Online since: December 2014
• Authors: Cheng Kang Lee*
• Keywords: Amplitude, Circular-Arc, Function of Transmission Errors, Gearing, Involute, Parabolic, Spur Gear

References

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