No/VOL: 09/2022 Page no.
Authors: Inna Honcharuk , Ihor Kupchuk , Vitalii Yaropud , Ruslan Kravets , Serhiy Burlaka , Valerii Hraniak , Julia Poberezhets , Volodymyr Rutkevych :
Title: Mathematical modeling and creation of algorithms for analyzing the ranges of the amplitude-frequency response of a vibrating rotary crusher in the software Mathcad
Abstract: The article is devoted to the study of motion laws for rotary vibration crusher. Kinematic and dynamic analysis was performed. Differential equations of rotor motion are solved and analyzed, frequency response and energy consumption graphs in MathCad 15.0 software environment are presented. Verification of the mathematical model was carried out by comparing the results of experimental research with theoretical research. It was proved that the proposed mathematical models are adequate (discrepancy are 7.2 to 12.1%).
Key words: Lagranges equations II kinds, differential equations, parameters of oscillations, analytical mechanics, vibrating machine