Calculation of contact temperatures generated by the rotation of a shaft in a bearing
The problem of the distribution of contact stresses resulting from the interaction between a journal and its bearing was considered in . This paper deals with the problem of temperature distribution in the area of contact of a rotating cylindrical shaft and a bearing. The process is assumed to be stabilized.
The problem reduces to an integral equation with respect to the contact temperature at the shaft surface.
An approximate method is proposed for solving the integral equation which had permitted the derivation of a simple approximate formula for the contact temperature within any range of variation of the parameters of this problem.
KeywordsMathematical Modeling Mechanical Engineer Integral Equation Temperature Distribution Industrial Mathematic
- 1.V. M. Aleksandrov, V. A. Babeshko, A. V. Belokon, I. I. Vorovich, and Yu. A. Ustinov, “The contact problem for the slim ring layer,” Izv. AN SSSR, MTT [Mechanics of Solids], no. 1, 1966.Google Scholar
- 2.A. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids [Russian translation], Izd-vo Nauka, 1964Google Scholar
- 3.V. A. Babeshko, “An effective method of solution for certain integral equations in the theory of elasticity and mathematical physics,” PMM, vol. 31, no. 1, pp. 81–91, 1967.Google Scholar
- 4.I. B. Simonenko, “Certain convolution-type integro-differential equations,” Izv. VUZ., Matematika, no. 2, 1959.Google Scholar