Evaluation of energy level to be absorbed by tractor ROPS: Actual Tests, Simulation and Computation

A highly dangerous situations for tractor driver is the lateral rollover in operating conditions. Several accidents, involving tractor rollover, have indeed been encountered, requiring the design of a robust Roll-Over Protective Structure (ROPS). The aim of the thesis was to evaluate tractor behaviour in the rollover phase so as to calculate the energy absorbed by the ROPS to ensure driver safety. A Mathematical Model representing the behaviour of a generic tractor during a lateral rollover, with the possibility of modifying the geometry, the inertia of the tractor and the environmental boundary conditions, is proposed. The purpose is to define a method allowing the prediction of the elasto-plastic behaviour of the subsequent impacts occurring in the rollover phase. A tyre impact model capable of analysing the influence of the wheels on the energy to be absorbed by the ROPS has been also developed. Different tractor design parameters affecting the rollover behaviour, such as mass and dimensions, have been considered. This permitted the evaluation of their influence on the amount of energy to be absorbed by the ROPS. The mathematical model was designed and calibrated with respect to the results of actual lateral upset tests carried out on a narrow-track tractor. The dynamic behaviour of the tractor and the energy absorbed by the ROPS, obtained from the actual tests, showed to match the results of the model developed. The proposed approach represents a valuable tool in understanding the dynamics (kinetic energy) and kinematics (position, velocity, angular velocity, etc.) of the tractor in the phases of lateral rollover and the factors mainly affecting the event. The prediction of the amount of energy to be absorbed in some cases of accident is possible with good accuracy. It can then help in designing protective structures or active security devices.

Risk analysis of tractor rollover in the normal operation in field

Tractor rollover represent a primary cause of death or serious injury in agriculture and despite the mandatory Roll-Over Protective Structures (ROPS), that reduced the number of injuries, tractor accidents are still of great concern. Because of their versatility and wide use many studies on safety are concerned with the stability of tractors, but they often prefer controlled tests or laboratory tests. The evaluation of tractors working in field, instead, is a very complex issue because the rollover could be influenced by the interaction among operator, tractor and environment. Recent studies are oriented towards the evaluation of the actual working conditions developing prototypes for driver assistance and data acquisition. Currently these devices are produced and sold by manufacturers. A warning device was assessed in this study with the aim to evaluate its performance and to collect data on different variables influencing the dynamics of tractors in field by monitoring continuously the working conditions of tractors operating at the experimental farm of the Bologna University. The device consists of accelerometers, gyroscope, GSM/GPRS, GPS for geo-referencing and a transceiver for the automatic recognition of tractor-connected equipment. A microprocessor processes data and provides information, through a dedicated algorithm requiring data on the geometry of the tested tractor, on the level of risk for the operator in terms of probable loss of stability and suggests corrective measures to reduce the potential instability of the tractor.

Progetto del circuito di lubrificazione di una trattrice agricola

Today the design of hydraulic and lubrication circuits is becoming more and more important. The aim of this study is to develop a methodology for the design of the lubrication circuit of an agricultural tractor. In this paper the lubrication circuit of a continuously variable transmission is analysed. Several lines of the circuit are considered and in particular the lubrication of gears is discussed. The worst possible working condition which corresponds to the highest power dissipation for each part of the transmission is determined. The model of the lubrication circuit is developed with two different software simulations (Automation Studio & Amesim). In order to check the reliability of the simulation models and to characterise the lubrication circuit, experimental tests are performed. The comparison between the values of pressure drops obtained by the models and by the experimental test, demonstrates that it is possible to use these programs for the set up of a simple model of the lubrication circuit. The calculation of oil flows necessary for a force-fed lubrication of the gears, the simulation of the circuit by commercial software, and the validation of the circuit design allow to set up a preliminary equilibrium among the pipes and a proper flow rate distribution. Optimising the circuit design in the initial phase of the project is very important. The experimental adjustment of the circuit, which is often difficult, can be simplified; time and cost production can be reduced.

Complex higher spins, Weyl invariance and tractors

In this thesis work I analyze higher spin field theories from a first quantized perspective, finding in particular new equations describing complex higher spin fields on Kaehler manifolds. They are studied by means of worldline path integrals and canonical quantization, in the framework of supersymmetric spinning particle theories, in order to investigate their quantum properties both in flat and curved backgrounds. For instance, by quantizing a spinning particle with one complex extended supersymmetry, I describe quantum massless (p,0)-forms and find a worldline representation for their effective action on a Kaehler background, as well as exact duality relations. Interesting results are found also in the definition of the functional integral for the so called O(N) spinning particles, that will allow to study real higher spins on curved spaces. In the second part, I study Weyl invariant field theories by using a particular mathematical framework known as tractor calculus, that enable to maintain at each step manifest Weyl covariance.

Prove accelerate per la verifica strutturale di trattrici agricole

The needs of customers to improve machinery in recent years have driven tractor manufacturers to reduce product life and development costs. The most significant efforts have concentrated on the attempt to decrease the costs of the experimental testing sector. The validation of the tractor prototypes are presently performed with a replication of a particularly unfavourable condition a defined number of times. These laboratory tests do not always faithfully reproduce the real use of the tractor. Therefore, field tests are also carried out to evaluate the prototype during real use, but it is difficult to perform such tests for a period of time long enough to reproduce tractor life usage. In this context, accelerated tests have been introduced in the automotive sector, producing a certain damage to the structure in a reduced amount of time. The goal of this paper is to define a methodology for the realization of accelerated structural tests on a tractor, through the reproduction of real customer tractor usage. A market analysis was performed on a 80 kW power tractor and a series of measures were then taken to simulate the real use of the tractor. Subsequently, the rainflow matrixes of the signals were extrapolated and used to estimate the tractor loadings for 10 years of tractor life. Finally these loadings were reproduced on testing grounds with special road pavements. The results obtained highlight the possibility of reproducing field loadings during road driving on proving grounds (PGs), but the use of two field operations is also necessary. The global acceleration factor obtained in this first step of the methodology is equal to three.

Analisi dell’influenza dei moti rigidi di una trattrice agricola sulle vibrazioni a corpo intero trasmesse all’operatore

L’esposizione degli operatori in campo agricolo alle vibrazioni trasmesse al corpo intero, produce effetti dannosi alla salute nel breve e nel lungo termine. Le vibrazioni che si generano sulle trattrici agricole hanno una elevata intensità e una bassa frequenza. Le componenti orizzontali, amplificate dalla posizione elevata della postazione di guida dall’asse di rollio, presentano maggiori criticità per quanto riguarda i sistemi di smorzamento rispetto alle componenti verticali. Queste caratteristiche rendono difficoltosa la progettazione dei sistemi dedicati alla riduzione del livello vibrazionale per questa categoria di macchine agricole. Nonostante l’installazione di diversi sistemi di smorzamento, il livello di vibrazioni a cui è sottoposto l’operatore può superare, in diverse condizioni di impiego, i livelli massimi imposti dalla legge per la salvaguardia della salute. L’obiettivo di questo lavoro è quello di valutare l’influenza dei moti rigidi di una trattrice (beccheggio, rollio e saltellamento) dotata di sospensione assale anteriore, sospensione cabina e sospensione sedile, sul livello vibrazionale trasmesso all’operatore.E’ stata pertanto strumenta una trattrice con accelerometri e inclinometri installati su telaio, cabina e sedile e utilizzata in diverse condizioni di lavoro in campo e di trasporto su strada. Dall’analisi delle prove effettuate emerge che durante il trasporto su strada è predominante l’accelerazione longitudinale, a causa dell’elevata influenza del beccheggio. La sospensione riduce notevolmente il moto rigido di beccheggio mentre l’effetto della sospensione della cabina è quello di incrementare, in ogni condizione di lavoro, il livello di accelerazione trasmesso dal telaio della macchina.

Computational tool for three-point hitch geometry optimization

The weight-transfer effect, consisting of the change in dynamic load distribution between the front and the rear tractor axles, is one of the most impairing phenomena for the performance, comfort, and safety of agricultural operations. Excessive weight transfer from the front to the rear tractor axle can occur during operation or maneuvering of implements connected to the tractor through the three-point hitch (TPH). In this respect, an optimal design of the TPH can ensure better dynamic load distribution and ultimately improve operational performance, comfort, and safety. In this study, a computational design tool (The Optimizer) for the determination of a TPH geometry that minimizes the weight-transfer effect is developed. The Optimizer is based on a constrained minimization algorithm. The objective function to be minimized is related to the tractor front-to-rear axle load transfer during a simulated reference maneuver performed with a reference implement on a reference soil. Simulations are based on a 3-degrees-of-freedom (DOF) dynamic model of the tractor-TPH-implement aggregate. The inertial, elastic, and viscous parameters of the dynamic model were successfully determined through a parameter identification algorithm. The geometry determined by the Optimizer complies with the ISO-730 Standard functional requirements and other design requirements. The interaction between the soil and the implement during the simulated reference maneuver was successfully validated against experimental data. Simulation results show that the adopted reference maneuver is effective in triggering the weight-transfer effect, with the front axle load exhibiting a peak-to-peak value of 27.1 kN during the maneuver. A benchmark test was conducted starting from four geometries of a commercially available TPH. As result, all the configurations were optimized by above 10%. The Optimizer, after 36 iterations, was able to find an optimized TPH geometry which allows to reduce the weight-transfer effect by 14.9%.