Coupled Thermoelastic Semi-analytical Contact Model and Contact Characteristics for Precision Ball Transmission

doi:10.3901/JME.2019.01.112

Abstract

Abstract: Based on the modified model of the force and the relative slide for the precision ball transmission, a coupled thermoelastic semi-analytical contact model of meshing pair is established. The semi-analytical formula of the contact temperature rise of meshing pair is deduced by using the heat source method, and the influence coefficient method is adopted to compute the meshing stiffness and the deformation of meshing pair which considering the effect of coupled thermoelasticity. In order to improve the computational efficiency, the discrete convolution forms of related expressions are also derived. The coupled thermoelastic contact characteristics for precision ball transmission are analyzed deeply, and the comparative analysis approach is used for verifying the availability of the semi-analytical model. The results indicate that the contact temperature rise of the outer tooth surface of the central disc is relatively high, and it is relatively low on the inner surface of the planetary disc; the meshing stiffness and the deformation calculated by the coupled thermoelastic model are larger than those of the Hertz contact model. Therefore, the research results can provide some theoretical foundation for the study of dynamic characteristics of precision ball transmission considering thermal properties and the practical engineering application.

Key words: coupled thermoelastic contact, deformation, meshing stiffness, precision ball transmission, temperature rise

CLC Number:

TH132

SUN Pengfei, AN Zijun. Coupled Thermoelastic Semi-analytical Contact Model and Contact Characteristics for Precision Ball Transmission[J]. Journal of Mechanical Engineering, 2019, 55(1): 112-119.

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