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  5. An unconventional method for approximating experimental dependences of abrasive wear

An unconventional method for approximating experimental dependences of abrasive wear

O. Vishnevsky, A. Davydov
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Description: Experimental dependences of abrasive wear of a surface of copper and steel materials are considered by nonrigidly fixed abrasive particles and the nonconventional advanced way of their approximation of the increased accuracy is offered. All types of average sizes are involved in this method: arithmetic average; geometrical average; square average; average harmonious and so on. Basic components of analytical dependence of size of wear in the form of the table of the main functions of which the approximating function is formed are considered. The basic rules of application of the algorithm on a concrete example of dependence of wear of a surface of steel and copper materials are specified by nonrigidly fixed abrasive particles. The offered algorithm of finding of the optimum approximating function allows automation of the search by means of computer programming and gives the chance at early stages is proved and most precisely to predict the term of wear of details or their coverings and also to appoint the periods of carrying out scheduled works. Forecasting of terms of wear of details of cars plays a key role in safety and efficiency of use of civil and military equipment. The considered technique will play an essential role in increase in production efficiency.

Keywords: approximation of dependences, abrasive wear, mathematical modeling, average sizes, algorithm of search of the approximating function 143

 Vyshnevskyi, O.A. and Davydov, O.S. (2018), “Netradytsiinyi sposib aproksymatsii eksperymentalnykh zalezhnostei abrazyvnoho znoshuvannia” [Нетрадиційний спосіб апроксимації експериментальних залежностей абразивного зношування], Scientific Works of Kharkiv National Air Force University, Vol. 2(56), pp. 137-143. https://doi.org/10.30748/zhups.2018.56.20.