Abstract
Purpose. Modern ideas about the contact interaction of bodies in friction are based on models that take into account the geometric parameters of the surface layers constituting tribosystems. These models provide a high level of adequacy to describe the features of the relief of the surfaces of parts and their impact on the performance characteristics of friction in the elastic stresses. However, the possibility of plastic deformations in the surface layers, particularly before using friction systems, these models do not account for. The aim of this work is the development of new mathematical approaches previously applied accounting strains and their effect on the performance of tribosystems. Methodology. Using the contact mechanics approaches analyzed the influence of preload on contacting a flat rough surfaces using a model based on the assumption of normal distribution of heights and roughness of plastic deformation at the first load. Findings. Analytically determined that under moderate pressure reduction from baseline, the actual contact area is proportional to the pressure in the 2/3 power. Originality. It is found that the contact patch size is proportional to the pressure of the first load. Practical value. It is established that at pressures lower than originally applied to the contact surfaces, the high values of the actual surface contact, the number of patches of actual contact are typical, than for the same pressure at the first load.
Highlights
Modern ideas about the contact interaction of bodies in friction are based on models that take into account the geometric parameters of the surface layers constituting tribosystems
Using the contact mechanics approaches analyzed the influence of ISSN 2307–3489 (Print), ІSSN 2307–6666 (Online) Наука та прогрес транспорту
It is established that at pressures lower than originally applied to the contact surfaces, the high values of the actual surface contact, the number of patches of actual contact are typical, than for the same pressure at the first load
Summary
Де Y – відстань між середніми площинами зон шорсткості контактуючих поверхонь; σ – середньоквадратичне відхилення ординат ( y1 + y2 ) спільного поля мікронерівностей двох поверхонь. Результати Розглядаємо початковий контакт – дотикання двох контактуючих поверхонь під час набіганні колеса на рейку Нехай відстань між середніми площинами зон шорсткості рівна Y1. Тоді при y1 + y2 > Y1 поверхні перебувають у стані контакту. Що значення ρ є однаковим для всіх одиничних контактів, що виникали при накочуванні колеса і розташовані на однакових відстанях. Ρ є функцією від Y , де ρ(Y ) є радіусом кривизни мікровиступів, які контактують при відстані Y між поверхнями. 2 видно, що для початкового контакту поверхонь можна записати:. Інтегруючи дане відношення для всіх плям контакту і поділивши на ∆Y за умови, що ∆Y → 0 , отримаємо:
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