The analysis of the known friction-temperature laws is carried out in the article. A mathematical model of external friction of F.F. Ling and E. Seibel coefficient dependence on temperature, activation energies of formation and destruction of friction bonds and other factors, developed using the equations of absolute rates of chemical reactions, is analyzed. An approxima-tion of this model is implemented in temperature independence case for Bowden and Tabor shear strength. A mathematical model, describing sliding friction force-temperature relation under frictional interaction of spatially ordered rubbers hav-ing steel surface, is proposed. A distinctive feature of the proposed mathematical model is that it can simultaneously describe areas of constancy, friction force linear and nonlinear scaling under temperature changes. The testing and verification of the developed mathematical model is fulfilled through digitizing and processing experimental data, obtained by the fric-tional interaction of bars, made of spatially ordered natural rubber and spatially ordered rubber SCS-50 with a prism made of steel st.3. Analyzing the approximating dependencies, it is found, that for spatially ordered natural rubber, the maximum value of the friction force is 2,0 kgf under the temperature of approximately 37,6 ℃, and the average value of the friction coefficient is 0,987, for spatially ordered natural rubber, the maximum value of the friction force is 1.84 kgf under the tem-perature of approximately 31,4 ℃, while the average value of the coefficient of friction is 0,853. New tribotechnical charac-teristics have been introduced making possible to give a more detailed characterization of the frictional interaction in the rubber-steel system for the cases of temperature changes.

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