Abstract

The vibrations produced by an agricultural machine are transmitted to the seat of the tractor operator and must comply with the limitations imposed by international and national regulations. An agricultural machine is generally composed of a tractor that can be linked to different machines required to perform a large number of agricultural tasks. In this paper, substructuring techniques are proposed to investigate the dynamics of the agricultural machine and to evaluate the resulting vibration exposure to the tractor driver in different configurations of the machine. These techniques allow one to couple reduced-order models or experimental models of the component subsystems to obtain the response of the whole system. In the results, the vibration exposure of the tractor operator is evaluated for different configurations of the agricultural machine, by observing the frequency response function (inertance and transmissibility) and the transient response to a given excitation. In conclusion, these techniques allow one to investigate a large number of different configurations and a wide range of operating conditions with a light computational burden and without asking the manufacturers to share sensitive design details.

Highlights

  • In everyday life, vibrations generated in the surrounding environment may be unpleasant for people and generate temporary discomfort [1,2,3,4]

  • Agricultural machine operators, when driving vehicles and mobile work machines, are typically subjected to mechanical vibrations transmitted to the whole body in a seated position [8,9]

  • It allows one to analyze the dynamics of the complete system through the characterization of the single components; It simplifies the analysis of the complete system when only one of the subsystems is modified; It allows one to focus the attention only on the elements that affect particular aspects of the dynamic behavior of the agricultural machine

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Summary

Introduction

Vibrations generated in the surrounding environment may be unpleasant for people and generate temporary discomfort [1,2,3,4]. The driving of tractors determines a postural overload due to a prolonged seated position and to the frequent rotations of the lumbar tract for carrying out particular operations [12] It is, necessary that the designers, since the initial phase of the project, focus on the dynamic behavior of the machine to limit the vibration exposure of the operator [13]. It would be useful to identify the sources and the transmission paths that are most responsible for the vibration of the operator’s seat to design optimal structural modifications [38] in order to remediate existing machines For this reason, a modeling technique based on substructuring is proposed in this paper. In order to deal with a realistic model, the response of the adopted tractor model is compared to the experimental response of a real tractor

Models and Methods
Dynamic Substructuring
Models
Lumped Parameter Models of the Agricultural Tractor
Reduced-Order Model of the Rear-Mounted Three-Point Linkage
Reduced Order Model of the Front-Mounted Three-Point Linkage
Mounted and Semi-Mounted Machines
Substructure Coupling
Modal Reduction through the Craig–Bampton Method
Transmissibility Ratios of Multi-DoF Systems
Results
Setup of the Tractor Model
Effects of Different Vibration Sources on the Operator’s Seat
Vibrations Generated by Tractor Wheel–Soil Contact
Vibrations Generated by Moving Parts on the Tractor
Vibrations Generated by Operating Machine Wheel–Soil Contact
Vibrations Generated by the Operating Machine
Influences of Operating Machines on the Global Dynamics
Estimation of the Vibration Exposure Level in the Operator’s Seat
Conclusions
Full Text
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