Modal analysis of various grinding wheel types for the evaluation of their integral elastic parameters

Introduction. In developing a mathematical model for the sound pressure generated by the grinding process, it became necessary to determine the actual values of the integral elastic parameters of grinding wheels to use as inputs in the model. This will expand the applicability of the model and maximize its practical utility. This paper describes an approach to determining Poisson's ratios and Young's moduli for grinding wheels with different characteristics. The elastic properties of the tool are the subject of this study. The purpose is to establish the relationship between actual values of integral elastic parameters and grinding wheel characteristics via modal analysis. The research method combines experimental investigation of natural frequency spectra and modal analysis, implemented via the finite element method in specialized software. Additionally, regression analysis is employed to derive empirical dependencies of the integral elastic parameters of grinding wheels on abrasive grain size and hardness. Results and discussion. The main result of this work is the determination of the actual values of Poisson's ratios and Young's moduli for grinding wheels with the studied characteristics. The selection of grinding wheel characteristics allowed for the investigation of the influence of abrasive grain size and hardness on its integral elastic properties. The development of a mathematical model for sound pressure generated by the grinding process, along with a methodology for predicting the service life of grinding wheels based on this model, will improve grinding operation efficiency by reducing the machine-setting time, increasing processing time, reducing consumption of manufacturing resources, and optimizing tool lifespan utilization.