Adjusted method of solving the contact problem for an annular layer taking into account the friction forces. Statement 2. A solution of functional equations defining the mathematical model of the contact problem

L. B Bozhkova , G. I Noritsina , V. G Ryabev

Izvestiya MGTU MAMI ›› 2014, Vol. 8 ›› Issue (3-4) : 5 -9.

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Izvestiya MGTU MAMI ›› 2014, Vol. 8 ›› Issue (3-4) : 5 -9. DOI: 10.17816/2074-0530-67314
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Adjusted method of solving the contact problem for an annular layer taking into account the friction forces. Statement 2. A solution of functional equations defining the mathematical model of the contact problem

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Abstract

The authors consider two methods of solving a system of two functional equations defining the mathematical model of the contact problem for an elastic layer, taking into account the friction forces in the contact area. The first method is based on replacing the system of functional equations by paired system of linear algebraic equations. The second is based on the orthogonalization of systems of functions. The numerical solution of the problem is also shown in the article.

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contact problem / friction forces / annular layer / small deformations / contact pressure / functional equations

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L. B Bozhkova, G. I Noritsina, V. G Ryabev. Adjusted method of solving the contact problem for an annular layer taking into account the friction forces. Statement 2. A solution of functional equations defining the mathematical model of the contact problem. Izvestiya MGTU MAMI, 2014, 8(3-4): 5-9 DOI:10.17816/2074-0530-67314

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References

[1]

Божкова Л.В, Норицина Г.И., Рябов В.Г. Уточненное решение контактной задачи для кольцевого слоя с учетом сил трения. Сообщение I. Математическая модель контактного взаимодействия кольцевого слоя с жестким основанием. Известия МГТУ «МАМИ», № 1(19), 2014, с. 11-18.

[2]

Корн Г., Корн Т. Справочник по математике. М.: Наука, 1978, 831 с.

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Bozhkova L.B., Noritsina G.I., Ryabev V.G.

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