Problem of Contact of Two Half Spaces with a Ring-Shaped Groove in One of Them. Part 2. Numerical Method and Results |
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Authors: | Monastyrs'kyi B E |
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Affiliation: | (1) Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv |
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Abstract: | A numerical algorithm is proposed for the solution of a singular integral equation of the axisymmetric elastic problem of contact of two half spaces one of which contains a ring-shaped groove. By the methods of orthogonal polynomials and collocations, the singular integral equation is reduced to a system of nonlinear algebraic equations for the geometric parameters of the gap and the coefficients of Fourier expansion of the required function in Chebyshev polynomials of the first kind. A numerical solution of the posed problem is constructed and used for the analysis of contact parameters regarded as functions of the radii of the ring-shaped groove of fixed width. |
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