Abstract

The exposure to whole body vibration (WBV) of tractor drivers during field operations is a problem that has never been solved. WBV values are quite difficult to predict because of the high number of variables, such as mass and geometry of the vehicle, forward speed, tire pressure, type of ground, operation cycle, and environmental factors. The use of an artificial track is useful to limit the variability of some field parameters, such as the path followed, fluctuations in speed, weather, temperature, and soil conditions. For comparative purposes, these variables need to be maintained as constant as possible in order to obtain the most useful data.
An analysis of the literature provoked the question: Is there a lower forward speed on artificial track that can generate the same vibration response on tractors working in the same field?
In this paper, we analyze the available literature and provide some WBV values and frequency analysis of acceleration measured on agricultural tractors traveling on an artificial test track and on different types of ground.

Introduction

Tractor drivers are exposed to high levels of Whole Body Vibration (WBV) during field operations and on/off road transportation (Bovenzi, 1994). The consequences of low-frequency vibration produced by agricultural vehicles can be extremely severe and depend on different variables, such as soil type, field operations, tractor mass distribution and forward speed (Lines, 1995; Scarlett, 2007; Maytona, 2008). Studies have been carried out to analyze vibration transmitted to the driver’s seat, both in controlled and standardized conditions (Banfo, 1997; Deprez, 2005a; Deprez, 2005b; Paddan, 2002; Scarlett, 2007). Many of these studies have been carried out according to the international standard ISO 2631-1 (1997). This standard provides a simple definition of the Whole Body Vibration measurement by defining a methodology to calculate the vibration exposure. It does not, however, judge the values obtained or establish any limits. It only provides a methodology to measure and calculate vibration in general situations, but does not give indications as to how to measure machine vibration in the workplace.

The more recent EN 1032 (2003) and CEN ISO/TR 25398 (2006) standards have attempted to deal with this problem, although no simple solutions are provided. For example, these standards do not describe surface characteristics and use statistical analysis to obtain vibration values at the driving seat.

Furthermore, WBV data analysis in the agricultural sector is even more complex than in industry because it is strictly connected to the surface type and conditions, as well as to machine configuration and the type of operation being undertaken. These variables mean that it may be difficult to compare vibration data collected during the same agricultural task being carried out under different conditions (Deboli, 2008).

More homogeneous data may be obtained using normalized tracks. The ISO 5008 standard (2001) has been set up to measure driver vibration on normalized tracks: smooth (100 m long) and rough (35 m long). This standard specifies methods to measure and report WBV at the driving seat on an agricultural wheeled tractor running on an artificial test track at specified forward speeds. The use of an artificial track is useful because it limits the variability of some field parameters, such as the path followed, fluctuations in speed, weather, temperature, and soil conditions.

For comparative purposes, these variables need to be maintained as constant as possible in order to obtain the most useful data. ISO 5008 (2001), in-field and on-farm tests have been carried out to study WBV on agricultural vehicles at the Silsoe Research Institute (Scarlett, 2005). The purpose of this research was to use an artificial track to simulate field and farm tractor operations. Tractor forward speeds on the ISO-smooth track were those standardized: 10, 12, 13, 14, 15, 16, 18, 20, 24, 30 km/h. The authors found WBV emission levels increased in proportion to forward speed, irrespective of the type of suspension systems on the test vehicles. Field operations were then carried out (ploughing, plough transport, cultivating, spraying and trailer transport) and corresponding WBV were measured. There was little similarity between ISO WBV track and field data because of the high acceleration values measured on tractors running on the ISO track at the above-mentioned standardized speeds.

Our analysis of the Silsoe results provoked the question: Is there a lower forward speed on artificial track that can generate the same vibration response on tractors working in the field? The aim of this paper was to find an answer. For this reason, in order to analyze and compare WBV values three new unballasted tractors, not coupled to machinery, as requested by ISO 5008 (2001), were run on both an ISO-smooth track and on different surfaces, while carrying out typical agricultural operations.

Materials and methods

Tractors

We tested three brand new tractors straight from the factory. These models are commonly used in different agricultural situations (Table 1): category A (EEC, 1978) class I (unladen mass < 3600 kg) and class II (3600 kg < unladen mass < 6500 kg). None of the tractors had a cab or axle suspension systems. For this reason, ground unevenness was only filtered by the tires. Tractor A was a two-wheel drive vehicle equipped with radial tires while tractors B and C were four-wheel drive equipped with low profile tires. All vehicles were fitted with parallelogram-type suspension seats with mechanical spring and damper suspension systems.

Tractors were equipped as originally furnished by manufacturers and ballasts or implements were not added (as required by ISO 5008 standard). The User’s Manual was consulted for tire pressure.

Track description

All tractors were run over typical agricultural surfaces (grass, harrowed clay, unmetalled farm roadway, asphalt road) and on an ISO-smooth track. Tests were conducted at the CNR IMAMOTER testing facilities (Pratofiorito, Turin, Italy). For the artificial track tests, vibration was measured when the tractor was driven over a 100 m ISO-smooth track. This track consisted of two parallel strips suitably spaced for the wheel track of the tractor. The surface of each strip was formed of wooden slats 80 mm wide, each slat separated from the next by a gap of 80 mm. Slats were sited firmly in a base frame. The surface of each strip of track was defined by the cordinates of elevation with respect to a level base, as listed in the ISO 5008 tables.

The other test tracks (grass, harrowed clay, asphalt and unmetalled farm road) were located at the IMAMOTER experimental field site. Track surfaces were: grass (1400 m long), flat and homogeneous harrowed clay (1200 m long), smooth asphalt (1000 m long), uneven ground with random subsidence of different heights (max. 2-3 cm), unmetalled farm road (2000 m long).

Forward speed

On these surfaces, tractors were run at forward speeds typical of some agricultural operations (e.g. haymaking and chemical fertilizing) and of some off-road transfers, as described in Table 2. For tests over asphalt, machines were driven at their highest forward speed. In order to obtain steady results over these surfaces, data were collected over quite a long period of time (≥5 min).

Tractors were then run on the ISO-smooth track (ISO, 2001) at speeds from 1 to 14 km/h, with regular increases of 0.5 km/h. Forward speed was monitored by radar (using a Doppler radar sensor). For tests on ISO-smooth track, acquisition times were related to the machine forward speed (350 s for 1 km/h, 24 s for 14 km/h). At least three repetitions were run for each velocity.

Whole Body Vibration measures measures

Acceleration levels were measured on the cab floor of the three tested agricultural tractors. In this first phase, only data measured over the platform have been considered because previous tests had shown that vibration values measured on the seat changed. In fact, in these cases, it was pointed out that seats in some situations showed the resonance phenomenon. This is, however, beyond the scope of the present work and requires more in-depth study.

A total of 360 tests were carried out. To improve the accuracy of RMS value analysis, for each test, we recorded and analyzed acceleration values of both root mean square (RMS) values along the x (longitudinal), y (transverse) and z (vertical) axes, and the 1/3 octave band spectrum. The same operator (mass 70 kg, height 180 cm) drove in the same way for all tests.

Instrument

For data acquisition, we used a measuring chain formed by one triaxial accelerometer (Bruel & Kjaer, 4322), three charge amplifiers (Bruel & Kjaer, 2635) and a digital audio tape recorder (Teac, RD-120 TE). The triaxial accelerometer was fixed on the cab floor under driving seat. A dual channel real-time frequency analyzer (Bruel & Kjaer, 2133) was used for data frequency analysis in the 0.5-80 Hz band; this range is interesting from a hygienist’s point of view for WBV exposure, as reported in the ISO 2631-1 (ISO, 1997). The two whole body weighting filters, Wd for x (longitudinal) and y (transversal) axes, Wk for z (vertical) axis, were applied as requested by ISO 2631-1 (1997). A photocell driven acoustic device was used during tests over the ISO track. This acoustic signal was recorded on a digital recorder to signal the beginning and the end of data collection.

Standards

The International Standard ISO 5008 was used (ISO, 2001). This standard defines the specification of instruments, measurement procedures, measurement site characteristics and frequency weighting to be used for acceptably precise data collection when measuring and recording WBV on agricultural wheeled tractors. Vibration values were evaluated in accordance with the current standard (ISO 2631-1, 1997). This includes means of weighting the vibration levels at different frequencies in order to take into consideration the frequency sensitivity of the driver’s body to WBV.

Results

Global acceleration values were analyzed for each tractor, surface and direction (x, y and z axes), as well as acceleration frequency distribution (1/3 octave band). It was observed that ISO 5008-smooth track may sometimes reproduce, at specified speeds, the same vibratory conditions registered over other surfaces in terms of RMS acceleration values and spectral trend.

Two case studies have been considered.

Global acceleration values

Acceleration data analysis was performed separately along the three axes to underline the acceleration behavior along the three directions as a function of the surface type.

Tables 3, 4 and 5 show tractor acceleration source values measured for the x, y and z axes during all tests. Horizontal (x and y axes) components were not multiplied by the 1.4 factor. Each tractor traveled on ISO track, grass, harrowed clay, asphalt and unmetalled tracks at the speed reported in the three tables. The speed that generated the weighted RMS accelerations on the ISO-smooth track more closely similar to the weighted RMS values recorded on the other tracks examined was considered. In the case of horizontal components (x and y axes), the RMS values over the ISO-smooth track were higher than those registered over the other surfaces. Differences in RMS were remarkably high in the direction of x, reaching values of around 100% in tests on asphalt and the unmetalled farm roadway (Table 3, column 7). These last tracks were not able to create horizontal fluctuation over the tractor cab floor. Also, the fact that the tractor was not towing an agricultural trailer caused these low acceleration values over asphalt and farm roadway. Instead, on the ISO track, the distance of the wooden slats and the difference in height between the two strip tracks caused high horizontal acceleration also at low forward speeds.

RMS acceleration values on field and on ISO track along the y direction (Table 4) are among those more similar than the RMS measured pairs along the x axis: absolute variation rates are lower, also if tractor C presents a 185% value between the asphalt and the ISO track RMS data. In this case, the tractor was running at 41 km/h over the asphalt, and the low recorded acceleration value (0.13 m/s2) is due to the flat, even surface which did not generate significant transversal movements.

Along the vertical direction (z axis, Table 5), tractor passages over the ISO track at a speed range between 3 and 5.5 km/h gave out RMS values that were very similar to those measured over other surfaces: in fact, in the worst situation, there is a 10% difference.

Frequency analysis

We then analyzed the vibrational behavior of the tractor in terms of fundamental frequencies obtained in the test conditions presented above. The 1/3 octave band values for each surface, for each axis and for each forward speed (as in Tables 3, 4 and 5) are shown in Figure 1.

On the x axis, vibration energy was distributed between 2.5 and 3.15 Hz (for tractors B and C). For ISO-smooth track, unmetalled road and asphalt track, also 4 Hz was recorded for tractor A. On the y axis, the vibration energy was mainly distributed between 1.25 and 1.6 Hz for all tractors, whereas it was mostly found at 2.5 Hz for tractor C, 3.15 Hz for tractor B, and 4 Hz for tractor A along the z axis. The tractor with the lowest mass (A, class I, 3430 kg) recorded a vibration resonance of 4 Hz, the class II tractor with a 4080 kg mass (B) showed a fundamental frequency between 2.5 and 3.15 Hz, while tractor C (class II, 4380 kg) mostly showed values of around 2.5 Hz.

Tractor A recorded a resonance frequency of 4 Hz along the x and z axes on almost all surfaces. This frequency decreased to 3.15 and 2.5 Hz on a deformable surface such as harrowed clay or grass. In these conditions, the tire lugs go into the soil, do not return into the tire and do not bend the tire sidewalls. Along the x and z axes, the resonance frequency is usually higher when tractors run on the ISO-smooth track: this is due to the interaction of the tire lugs with the wooden slats. There is an inverse correlation tendency between mass and fundamental vibration frequency.

Frequency analysis and acceleration amplitude: two case studies

We examined two case studies: tractors B and C crossing ISO-smooth track, harrowed clay (B) and unmetalled farm roadway (C) along x (C) and z (B) axes. As a rule, along the y axis, only when all the tractors were run at 30 km/h (or over) on the asphalt track was there no intersection with the acceleration measured on the ISO-smooth track, always as a consequence of the fact that the crossed surfaces were flat and even, thus there was no visible transversal movement of the tractor. For this reason, it was not considered to be of interest to present a case study along the y axis.

Figure 2 shows three curves describing acceleration patterns, 1/3 octave band and x axis of tractor C running on unmetalled farm roadway at 10 km/h (continuous line), and on the ISO-smooth track at 2 km/h (dashed line) and 6 km/h (dotted line). At 2 km/h, on the ISO-smooth track the tractor has the highest longitudinal acceleration at 1 Hz, 0.31 m/s2 RMS; at 6 km/h, the RMS value decreased to 0.27 m/s2 and the energy presented a peak at 3.15 Hz. A further analysis of other shapes for the same tractor running at a higher velocity on the ISO-smooth track showed there was no change in this latter frequency distribution: only the RMS increased. On the ISO track, the longitudinal acceleration x shifted in frequency (from 1 to 3.15 Hz) with the increase of machine forward speed: this also occured for the other tractors (with different frequency ranges) and may have been caused by the tire radial damping and stiffness variation in function of their angular velocity on the smoother ISO track.

The rise in forward speed may produce an increase in the inertia of the vehicle and, as a consequence, the machine is less prone to the rolling caused by the smoother ISO track geometry. In this case study, the same considerations are not possible for the tractor running on the unmetalled farm roadway because over this surface the forward speed was a constant 10 km/h. Considering the z axis, an interesting result is obtained crossing the ISO track at 5.5 km/h: the energy distribution transmitted to the cab floor of tractor B is similar to the one obtained from the harrowed soil tractor passages at 10 km/h (Figure 3). Values for 1/3 octave band acceleration were very similar for the two surfaces at the vertical direction z, differing by only 2.3% (RMS 0.86 m/s2 for harrowed clay and 0.88 m/s2 for ISO track). On the harrowed clay, the vibration energy was mainly gathered around 2.5 Hz, while on the ISO track it shifted to 3.15 Hz. This happened for all the tractors examined, regardless of the mass and tire type, and it was probably caused by the energy required to deform the soil surface rather than by the energy dissipated in the tires (Lines, 1991a; Lines, 1991b; Lines, 1992).

Conclusions

This study did not aim to measure and compare vibration levels among tractors running on different surfaces but rather to start to study the vibrational behavior of different tractors running on different surfaces and then on the ISO-smooth track.

There are obvious difficulties in trying to define a simplified study approach to a problem as complex as this. Nonetheless, the results obtained in this first comparison of three different tractors running on several agricultural surfaces and on an ISO-smooth track are encouraging. For example, to confirm vibration values of a tractor crossing a grass surface, a manufacturer should simply run the tractor on an ISO-smooth track at a forward speed of 4.5 km/h to obtain reliable data, especially along the z axis (Table 5).

In the z direction, the average RMS accelerations recorded were not only similar in all the conditions examined, but even the differences observed when the 1/3 frequency bands were superimposed were negligible, also considering the reaction of the tires over surfaces of different degrees of roughness (Deboli, 2008).

This study demonstrates that the smoother ISO track may simulate some common vibratory conditions, such as those found when the tractor is run without a trailer across grass or unmetalled farm roadway. Further tests are required to evaluate agricultural operations with tractors coupled to other farm machinery. For tractor movement on asphalt, with or without a trailer, different types of artificial tracks should be used and these will be the subject of future studies.

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