The Elastic Deformation of Machine Elements in Mechatronics Systems

Today, mechanical engineering requires using more precise equipment, for that reason calculation of the deformation of machine elements requests higher accuracy. In the paper, an elastic deformation of machine elements taking into consideration the height of surface roughness is described. The paper studies and compares three different formulas for the calculation of the density of probability distribution of surface peak height and determination of the mathematical expectation value (ME) of surface peak height for those roughnesses being above a determined deformation level γ. The law on the density of probability distribution of peak height for such a normal random field was established by P.R. Nayak, yet this expression is practically inapplicable for the solution of engineering tasks, therefore the present work establishes that the given formula can be substituted by a simpler distribution law. Comparing three simpler formulas, sufficiently precise solution was established which can substitute the complicated formula.