ИСТИНА

It is proposed further development of the theory of multi-component dry friction which consists in presenting a more convenient form of the coupled friction models for the problems of the aviation pneumatics dynamics. The procedure of the models constructing consists of the two parts. In the first part, the exact integral expressions for the net vector and torque are formed with used results from the theory of elasticity. In the second part the exact integral models are approximated by smooth analytical functions. The approximate models preserve all analytical properties of the models based on the exact integral expressions. Another one of the improvements of the developed dry friction models consists in the accounting of the real distribution of the contact pressure. The quasi-static contact pressure distribution for the real tire of diagonal structure was obtained using finite element simulation for several load cases. The numerical solution was interpolated by the Legendre polynomials, so that the obtained representation allows one to obtain the coefficients of the approximated dry friction models.