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2015•Bulletin of Bryansk state technical universityOpen access

Limits of applicability of the Hertz solution for contact problem.

Владимир Сакало, Владимир Сакало, Алексей Сакало, Aleksey Sakalo

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Abstract

Possibility of applying of the Hertz solution at close values of the radii of curvature of the pro-files of bodies is analyzed. Research is carried out on the example of contact problem for wheel and rail in case when the contact patch is located on the fillet parts of the wheel and rail. The same problem is solved by using finite element method. The correction factors for specifying parameters such as the size of the contact patch and the maximum pressure obtained by an ana-lytical method are proposed.

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Possibility of applying of the Hertz solution at close values of the radii of curvature of the pro-files of bodies is analyzed. Research is carried out on the example of contact problem for wheel and rail in case when the contact patch is located on the fillet parts of the wheel and rail. The same problem is solved by using finite element method. The correction factors for specifying parameters such as the size of the contact patch and the maximum pressure obtained by an ana-lytical method are proposed.

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Available abstract

Possibility of applying of the Hertz solution at close values of the radii of curvature of the pro-files of bodies is analyzed. Research is carried out on the example of contact problem for wheel and rail in case when the contact patch is located on the fillet parts of the wheel and rail. The same problem is solved by using finite element method. The correction factors for specifying parameters such as the size of the contact patch and the maximum pressure obtained by an ana-lytical method are proposed.

Key concepts: Hertz, Contact patch, Curvature, Contact theory, Fillet (mechanics), Finite element method, Mechanics, Mathematical analysis

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