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Calculation of contact temperatures generated by the rotation of a shaft in a bearing

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The problem of the distribution of contact stresses resulting from the interaction between a journal and its bearing was considered in [1]. 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.

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  1. 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.

  2. 2.

    A. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids [Russian translation], Izd-vo Nauka, 1964

  3. 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.

  4. 4.

    I. B. Simonenko, “Certain convolution-type integro-differential equations,” Izv. VUZ., Matematika, no. 2, 1959.

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Babeshko, V.A., Vorovich, I.I. Calculation of contact temperatures generated by the rotation of a shaft in a bearing. J Appl Mech Tech Phys 9, 221–222 (1968).

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  • Mathematical Modeling
  • Mechanical Engineer
  • Integral Equation
  • Temperature Distribution
  • Industrial Mathematic