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CSME 2018/10
Volume 39 No.5
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459-469
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A Method to Design a New Face Gear Drive That Has a Predesigned Fourth Order Function of Transmission Errors and Dimensionally Controllable Contact Ellipses
Cheng-Kang Leea
aDepartment of Industrial Engineering and Management, Cheng Shiu University, Kaohsiung, Taiwan 83347, ROC.
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Abstract:
In terms of modern gear technology, the fourth order function of transmission errors (FOFTE) has been verified to be superior to a second order function of transmission errors (SOFTE). A FOFTE reduces noise levels and vibration. The motion curve that is formed by a FOFTE is smoother than the motion curve that is formed by a SOFTE. Transforming a SOFTE to a FOFTE has become the trend of research recently. This paper proposes a method to manufacture and design a new face gear drive that has a predesigned FOFTE and dimensionally controllable contact ellipses. Firstly, the position vectors, the unit normal vectors, the principal curvatures and the principal directions of the tooth faces of the new face gear drive are created using coordinate transformation theory, the theory of gearing and differential geometry. Secondly, the mathematical models for the tooth contact analysis and the mathematical model for the tangent slope of the function of transmission errors are developed to construct a system of eleven nonlinear equations. The system of nonlinear equations is used to compel the face gear drive to have the predesigned FOFTE. Finally, an optimization model is created using a full factorial design of experiment and Kriging interpolation to control the averages of the major and minor axes of the contact ellipses.
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Keywords: fourth order function of transmission errors, face gear, tooth contact analysis, contact ellipses, principal curvatures and directions.
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©
2018
CSME , ISSN 0257-9731
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