Mathematical model of the cabin suspension system for grain and forage harvesters taking into account the dynamic properties of the supporting system

Abstract

The paper is devoted to the study of the vibrational state of the operator's workplace of a transport-technological machine with a supporting system that undergoes torsional and bending elastic deformations during operation. Based on the previously carried experimental studies, the relevance of the work was substantiated and the goal was set to develop a computational model of spatial vibrations of the cabin on a non-existent system in the form of elastic cantilever beams. An original mathematical model of cabin vibrations on an elastic foundation is presented. It takes into account the nonlinear elastic and dissipative properties of the supporting system structure. A variant of the implementation of the developed mathematical model using the example of the mathematical modeling environment Mathcad is proposed. As an example of calculating the dynamic properties of a bearing system, a case of using the MSC Adams software package with an integrated finite element calculation module Flex is shown. It is presented that taking into account the dynamic properties of the carrier system in the model makes it possible to calculate the vibration load of the cabin with high accuracy and reproduce the resonance phenomena caused by the natural modes of vibration of the carrier system and disturbances from technological sources. The results of the verification of the computational model based on the analysis of the convergence of the values of the full corrected vibration acceleration in the center of mass of the grain harvester cabin, as well as the vibration spectra in linear directions obtained by experimental and computational methods, are presented. Directions for the development of measures and technical solutions for improving the vibration load of operators of transport and technological machines who have active sources of power disturbances on board, as well as a supporting system that experiences elastic deformations during operation are proposed.