Calculation of abrasive wear speed in straight and helical gears with evolving profile, using a Matlab GUI

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José Miguel Mena Chavarrea
José Antonio Granizo
Eduardo Segundo Hernández Dávila
Mario Efraín Audelo Guevara


The present investigation originated under the objective of designing a software with Matlab that allows calculating the abrasive wear rate of spur and helical gears with involute profile. Where, the unstudied generalities about the design of gears have generated negative consequences in functionality and have generated catastrophic failures that have produced unexpected stoppages of mechanical processes, for which understanding their causes becomes essential. Considering, for the calculation of the abrasive wear of the tribological pairs in heavy machinery, it will depend on the degree of grinding or size of the abrasive particles, the hardness, the material of the base gear, the lubrication regime and the geometric conditions that determine the nature of tribological contact, as well as the time and speed of use of heavy machinery. Initially, the theoretical environment that makes up the study based on the main components such as: gears, lubrication, steel, heat treatments and finally Matlab is established.
Next, the mathematical models of Archard and Kraglesky were established, which were adapted to the circumstances of the problem and based on this information, a software capable of calculating the rate of abrasive wear was formulated using a graphical Matlab user tool; We proceed to execute the manual calculation with the determined variables taking experimental data obtained from previous investigations and that comply with the variables determined for the execution of the mathematical process, given that the results generated through the software can be tabulated, graphed in Excel and verified. with manual mathematical development. Looking for the comparison, differentiation and trend of the behavior of the wear rate, varying the parameters involved in the process using the two mathematical models proposed.