Comparative Tests of Two Tire Models for Agricultural Tractors: Soil Compaction, Tractive Performance and Energy Requirements
Abstract
1. Introduction
2. Materials and Methods
2.1. Tires Under Test
- Respect for the soil: Blue tires feature a wider footprint and a flexible carcass for optimal tractor weight distribution. This is expected to reduce soil compaction, thereby preserving soil structure and organic life, which can positively impact crop yields;
- Increased productivity and cost reduction: This is achieved through superior traction and lower rolling resistance, leading to significant fuel savings and a reduction in emissions. The improved efficiency is intended to allow tasks to be completed in less time;
- Eco-friendly materials and production processes: The “Blue” approach also incorporates the use of more sustainable materials and low-impact manufacturing processes, such as the utilization of eco-friendly oils;
- Enhanced comfort: Comfort is increased by reducing vibration levels through a specialized tread design and greater carcass flexibility.
2.2. Mobile Laboratory
2.2.1. Tractor
- Volumetric fuel consumption meter (developed at CREA) integrated into the fuel supply circuit (Figure 2a);
- Incremental encoder (Tekel TK510, Turin, Italy) mounted on the rear axle to measure wheel peripheral speed (Figure 2b);
- Instrumented drawbar with a load cell rated for 100,000 N (AEP Transducers TC4, Modena, Italy) (Figure 2c).
2.2.2. Dynamometric Vehicle
2.2.3. Field-Side Support Unit
2.3. Characteristics of the Test Ground
2.4. Test Method
2.5. Data Analysis
3. Results and Discussion
3.1. Measurements Prior to the Tests on Undisturbed Soil (U.S.)
3.2. Traction Tests
- TA-P1 and TB-P1, for the same traction force, consistently exhibit a very similar trend. However, while Csha (Figure 7a) is initially slightly better for TB-P1 than TA-P1, with differences narrowing as the traction force increases, a slightly better performance for TB-P1 is observed for Esha and Etha (Figure 9a and Figure 11a). The counter-trend behavior of Csha could be the result of a more efficient interaction between the surface of the innovative tire and the soil;
- TA-P2 is always better than TB-P1 (Figure 8b, Figure 10b and Figure 12b) and all the other combinations. This indicates that the pressure reduction from P1 to P2 enhances the tractive characteristics of TA, making it highly performant both compared to itself at P1 and compared to TB at both pressures.
- Comparison TA vs. TB. At the higher pressure (P1): The differences found between the two models are minor. A slight reduction in consumption (Csha) is observed for TA (−0.4 kg ha−1, equal to −1.4%) compared to TB, and, concurrently, a slight increase in the total energy (Etha) is noted 0.79 kWh ha−1, equal to + 1.15%. At the lower pressure (P2) TA performs better than TB, resulting in a fuel saving of 12.99% compared to the 2.24% saving of TB relative to the reference TB-P1. Similarly, for the energy dissipated due to slip (Esha) and the total energy (Etha), the reduction relative to TB-P1 is respectively 21.98% and 4.21% for TA, compared to 13.37% and 2.48% for TB; the adoption of the lower pressure (P2) leads to an improvement in traction performance for both tire models, with a reduction in fuel consumption and energy losses dissipated due to slip. This improvement is particularly evident for TA and can be quantified using the data in Table 10. Taking TA-P1 as the reference condition, adopting the lower pressure resulted in reductions of 11.65%, 26.45%, and 5.29% in fuel consumption per hectare, energy loss due to slip per hectare, and total energy requirements per hectare, respectively, while the slip decreases approximately by 25% (from 25.5% to 18.8%, Figure 5a,b). The performance improvement is less evident for TB, where adopting P2 induces a 9.8% lower slip than at P1 and proportionally lower reduction with slip reduction in fuel consumption per hectare, energy loss due to slip per hectare, and total energy requirements per hectare. These findings represent an encouraging result within the context of the tire development activity focused on energy efficiency.
3.3. Effects of Tire Passes on Soil Compaction
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Parameters | Unit | Tire Set A (PT) | Tire Set B (Standard) | ||
|---|---|---|---|---|---|
| Rear | Front | Rear | Front | ||
| Size | - | 520/70 R38 | 420/70 R28 | 520/70 R38 | 420/70 R28 |
| Section width | mm | 525 | 415 | 520 | 415 |
| Diameter | mm | 1755 | 1355 | 1740 | 1354 |
| Index radius | mm | 825 | 650 | 825 | 650 |
| Nominal pressure | bar | 1.6 | 1.6 | 1.6 | 1.6 |
| Radius (under load) | mm | 790 | 610 | 774 | 608 |
| Rolling circumference 1 | mm | 5255 | 4070 | 5150 | 4025 |
| Treads | n | 21 | 21 | 18 | 18 |
| Load Index | - | 150 | 150 | 150 | 133 |
| Speed Index | - | D | D | D | D |
| Maximum speed | km h−1 | 65 | 65 | 65 | 65 |
| Nominal rim | - | W16L | W13 | W16L | W13 |
| Horizon | Depth (cm) | Description |
|---|---|---|
| 0 | 0–5 | Organic debris in various stages of decay. |
| Ap | 5–50 | Eluvial horizon, plowed layer (p), with 2.13% humified organic matter but subject to physical compaction. |
| Bt | 50 ≅ 120 | Illuvial horizon: accumulation zone where clay particles from upper layers settle. The plow-pan starts at the top of this layer showing maximum compaction at 60–70 cm. “t” stands for ton (=clay in german). |
| Btg/Cg | >120 | Transitional layer affected by the water table (Tevere river) with redoximorphic features (rusty mottles and grey matrix) due to seasonal waterlogging and oxygen deficiency. “g” stands for gleyic. |
| Soil Characteristics | Unit | Values | Standard Meth. | |
|---|---|---|---|---|
| Texture | Skeleton | % | 0.00 | ISO 21920-3:2021 [62] |
| Sand | % | 2.30 | ||
| Silt | % | 43.40 | ||
| Clay | % | 54.30 | ||
| Atterberg limits | Liquid limit (wL) | % | 62.20 | ISO 17892-12:2018 [63] |
| Plastic limit (wP) | % | 40.30 | ||
| Plasticity index (IP = wL − wP) | % | 21.90 | ||
| Soil Characteristics | Unit | Standard/References | Instruments |
|---|---|---|---|
| Average humidity (w) | % | ISO 11465:2025 [64] | -Hand core sampler with 100 cm3 sampling rings (Royal Eijkelkamp B.V., Giesbeek, The Netherlands) Oven “Bicasa—MFA” (Italy) |
| Consistency index (CI) | - | ISO 17892-12:2018 [63] | Calculated based on Atterberg limits (Table 3) CI = (wL − w)/IP |
| Dry bulk density (ρw) | g cm−3 | ISO 11272:2017 [65] | Hand core sampler with 100 cm3 sampling rings (Royal Eijkelkamp B.V., Giesbeek, The Netherlands) |
| Vegetation Cover (VC) | % | - | Digital anal. of 1 m2 sections of ground surface by means of Adobe Photoshop software v27.4 1 |
| Rugosity (σr) | mm | Refs. [66,67] | Profile meter with laser sensor (Leica Geosystem Disto, Heerbrugg, Switzerland) |
| Average resistance to penetration (cone index) | MPa | ASAE St. S313.3 (R2013): [68], Ref. [69] | Digital penetrometer (Royal Eijkelkamp B.V., Penetrologger, Giesbeek, The Netherlands |
| Void ratio 2 | - | ISO 17892-3:2015 [70] Refs. [71,72] | Calculated 2: e = Gs·ρw − 1, Gs = 2.70 g cm−3 |
| Variables | Denomination | Abbreviation | Position | Size/Value |
|---|---|---|---|---|
| Tires | TM 700 Progressive Traction (BlueTire) | TA (Tire A) | Front | 420/70 R28 |
| Rear | 520/70 R38 | |||
| TM 700 | TB (Tire B) | Front | 420/70 R28 | |
| Rear | 520/70 R38 | |||
| Pressure (bar) | Pressure 1 | P1 | Front | 1.2 |
| Rear | 1.6 | |||
| Pressure 2 | P2 | Front | 1.0 | |
| Rear | 1.0 | |||
| Force of traction (daN) | - | SD 1 | - | 0 1 |
| - | F1 2 | - | 1200 | |
| - | F2 2 | - | 1800 | |
| - | F3 2 | - | 3000 | |
| - | F4 2 | - | 3800 | |
| - | F5 2 | - | 4200 | |
| - | F6 2 | - | 4900 |
| Parameters | Symbols | Unit | Sensor/Formula | |
|---|---|---|---|---|
| Measured | Time to cover the 50-m base | t50 | s | DAS clock |
| Force of traction | Ft | daN | Load cell | |
| Wheel revolutions 1 | N | No. | Digital encoders | |
| Fuel volumetric consumption | Cv | cm3 | Fuel consumption meter | |
| Derivative | Travel speed | v0 | m s−1 | v0 = 50 m/t50 |
| Wheel’s peripheral speed 2 | vw | m s−1 | vw = N·2πr2 | |
| Slip 3 | s | % | S = 100·(vw − v0)/vw | |
| Fuel cons. per surface unit | Cha | kg ha−1 | Cha = Cv·10/(0.84·L·d)3 | |
| Traction power | Pt | kW | Pt = Ft·v0/100 | |
| Slip power losses | Ps | kW | Ps = Ft·(vw − v0)/100 | |
| Traction energy | Et | kWh | Et = Pt·t50/3600 | |
| Slip energy losses | Es | kWh | Es = Ps·t50/3600 | |
| Traction energy per surface unit | Etha | kWh ha−1 | Etha =Et·10,000/(L·d)3 | |
| Slip energy losses per surface unit | Esha | kWh ha−1 | Esha =Es·10,000/(L·d)3 | |
| Soil Characteristics | S. Depth (mm) | Test Field | TA Plot | TB Plot | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Aver. | St. Dev. | St. Err. | Aver. | St. Dev. | St. Err. | Aver. | St. Dev. | St. Err. | ||
| Veg. Cover, VC, (%) | 0 | 28.00 | 3.94 | 1.39 | 28.75 | 4.83 | 1.71 | 27.25 | 3.38 | 1.19 |
| Rugosity, σr, (mm) | 0 | 28.56 | 6.97 | 24.41 | 28.39 | 7.33 | 2.59 | 28.73 | 7.72 | 2.73 |
| Humidity (w), % | 0–100 | 21.40 | 0.81 | 0.01 | 21.23 | 0.93 | 0.40 | 21.57 | 0.76 | 0.46 |
| 100–200 | 22.80 | 0.93 | 0.01 | 22.75 | 0.90 | 0.47 | 22.85 | 1.10 | 0.45 | |
| Consistency index (Ci) | 0–100 | 1.863 | 0.04 | 0.001 | 1.871 | 0.04 | 0.02 | 1.855 | 0.03 | 0.02 |
| 100–200 | 1.799 | 0.04 | 0.001 | 1.801 | 0.04 | 0.02 | 1.797 | 0.05 | 0.02 | |
| Dry bulk density, ρw, (g cm−3) | 0–100 | 1.345 | 0.03 | 0.000 | 1.350 | 0.02 | 0.02 | 1.340 | 0.04 | 0.01 |
| 100–200 | 1.404 | 0.04 | 0.001 | 1.403 | 0.04 | 0.02 | 1.406 | 0.05 | 0.02 | |
| Void ratio, (e) 1 | 0–100 | 1.009 | 0.03 | 0.000 | 1.001 | 0.03 | 0.02 | 1.017 | 0.06 | 0.02 |
| 100–200 | 0.924 | 0.05 | 0.001 | 0.926 | 0.05 | 0.03 | 0.922 | 0.07 | 0.03 | |
| Cone index, CI, (Mpa) | 0–400 | 0.775 | 0.04 | 0.001 | 0.804 | 0.04 | 0.02 | 0.745 | 0.02 | 0.02 |
| 0–800 | 1.484 | 0.02 | 0.000 | 1.527 | 0.02 | 0.01 | 1.441 | 0.01 | 0.01 | |
| Parameters | Comb. | SD | 1200 | 1800 | 3000 | 3800 | 4200 | 4900 | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Mean | St. Dev. | CV | Mean | St. Dev. | CV | Mean | St. Dev. | CV | Mean | St. Dev. | CV | Mean | St. Dev. | CV | Mean | St. Dev. | CV | Mean | St. Dev. | CV | ||
| Traction force (daN) | TA-P1 | - | - | - | 1202 | 59.99 | 4.99 | 1743 | 73.05 | 4.19 | 3057 | 40.95 | 1.34 | 3888 | 24.30 | 0.62 | 4455 | 71.39 | 1.60 | 4871 | 9.98 | 0.20 |
| TA-P2 | - | - | - | 1422 | 102.70 | 7.22 | 1790 | 86.65 | 4.84 | 3112 | 46.60 | 1.50 | 3651 | 30.05 | 0.82 | 4076 | 52.90 | 1.30 | 4758 | 14.55 | 0.31 | |
| TB-P1 | - | - | - | 1147 | 45.56 | 3.97 | 1798 | 27.89 | 1.55 | 2988 | 48.71 | 1.63 | 4141 | 31.44 | 0.76 | 4730 | 10.15 | 0.21 | ||||
| TB-P2 | - | - | - | 1151 | 55.79 | 4.85 | 1856 | 123.23 | 6.64 | 2975 | 34.30 | 1.15 | 4075 | 38.84 | 0.95 | 5013 | 5.43 | 0.11 | ||||
| Speed (m s−1) | TA-P1 | 1.70 | 0.01 | 0.5 | 1.61 | 0.02 | 1.39 | 1.48 | 0.01 | 0.37 | 1.38 | 0.01 | 1.01 | 1.11 | 0.01 | 0.89 | 0.86 | 0.00 | 0.52 | 0.64 | 0.00 | 0.45 |
| TA-P2 | 1.70 | 0.01 | 0.7 | 1.60 | 0.01 | 0.33 | 1.57 | 0.02 | 1.03 | 1.40 | 0.01 | 0.49 | 1.27 | 0.01 | 1.11 | 1.14 | 0.00 | 0.43 | 0.86 | 0.01 | 0.85 | |
| TB-P1 | 1.70 | 0.02 | 1.0 | 1.61 | 0.01 | 0.88 | 1.56 | 0.02 | 1.07 | 1.36 | 0.02 | 1.44 | 1.03 | 0.01 | 0.67 | 0.82 | 0.01 | 1.61 | ||||
| TB-P2 | 1.67 | 0.01 | 0.3 | 1.61 | 0.01 | 0.51 | 1.55 | 0.01 | 0.33 | 1.41 | 0.01 | 0.54 | 1.13 | 0.01 | 0.48 | 0.69 | 0.00 | 0.40 | ||||
| Fuel cons. (kg ha−1) | TA-P1 | 11.07 | 0.99 | 8.9 | 14.55 | 0.20 | 1.40 | 15.48 | 1.14 | 7.37 | 21.25 | 0.46 | 2.15 | 24.95 | 1.20 | 4.80 | 31.44 | 2.27 | 7.22 | 37.92 | 0.22 | 0.59 |
| TA-P2 | 10.75 | 0.96 | 9.0 | 14.81 | 1.21 | 8.20 | 15.96 | 0.98 | 6.16 | 20.76 | 0.49 | 2.37 | 22.81 | 0.62 | 2.72 | 24.28 | 0.41 | 1.67 | 29.68 | 0.50 | 1.67 | |
| TB-P1 | 11.41 | 0.60 | 5.3 | 14.72 | 1.70 | 11.54 | 17.27 | 0.64 | 3.68 | 20.81 | 0.19 | 0.94 | 26.14 | 0.52 | 2.01 | 38.32 | 2.17 | 5.67 | ||||
| TB-P2 | 10.77 | 1.14 | 10.6 | 14.10 | 1.30 | 9.22 | 16.59 | 0.83 | 5.00 | 23.72 | 2.15 | 9.06 | 24.63 | 0.96 | 3.90 | 37.57 | 0.50 | 1.34 | ||||
| Traction power (kW) | TA-P1 | - | - | - | 19.35 | 0.71 | 3.69 | 25.83 | 0.99 | 3.82 | 42.12 | 0.72 | 1.70 | 43.27 | 0.54 | 1.26 | 38.45 | 0.81 | 2.11 | 31.06 | 0.10 | 0.33 |
| TA-P2 | - | - | - | 1.71 | 7.48 | 0.85 | 1.07 | 3.83 | 0.54 | 0.74 | 1.69 | 0.37 | 0.20 | 0.42 | 0.10 | 0.61 | 1.32 | 0.31 | 0.44 | 1.08 | 0.22 | |
| TB-P1 | - | - | - | 18.48 | 0.79 | 4.25 | 28.11 | 0.32 | 1.14 | 40.69 | 0.53 | 1.30 | 42.63 | 0.41 | 0.97 | 38.56 | 0.62 | 1.61 | ||||
| TB-P2 | - | - | - | 18.51 | 0.86 | 4.67 | 28.76 | 1.86 | 6.47 | 41.83 | 0.46 | 1.11 | 46.16 | 0.63 | 1.37 | 34.65 | 0.10 | 0.30 | ||||
| Slip (%) | TA-P1 | - | - | - | 5.19 | 1.19 | 22.93 | 6.70 | 0.26 | 3.93 | 14.75 | 0.90 | 6.07 | 22.60 | 0.63 | 2.79 | 33.45 | 0.21 | 0.63 | 42.87 | 0.17 | 0.39 |
| TA-P2 | - | - | - | 4.39 | 0.46 | 10.36 | 6.14 | 0.87 | 14.23 | 11.71 | 0.34 | 2.90 | 15.49 | 0.68 | 4.36 | 18.59 | 0.34 | 1.84 | 29.50 | 0.69 | 2.32 | |
| TB-P1 | - | - | - | 4.46 | 0.79 | 17.75 | 6.54 | 1.03 | 15.75 | 14.04 | 1.02 | 7.25 | 25.00 | 0.40 | 1.60 | 36.44 | 1.20 | 3.28 | ||||
| TB-P2 | - | - | - | 2.93 | 0.44 | 14.84 | 5.70 | 0.28 | 4.88 | 11.73 | 0.49 | 4.15 | 20.96 | 0.55 | 2.63 | 42.24 | 0.17 | 0.40 | ||||
| Slip power losses (kW) | TA-P1 | - | - | - | 1.01 | 0.26 | 26.04 | 1.73 | 0.13 | 7.52 | 6.21 | 0.32 | 5.23 | 9.78 | 0.34 | 3.46 | 12.86 | 0.24 | 1.87 | 13.31 | 0.04 | 0.31 |
| TA-P2 | - | - | - | 0.04 | 3.84 | 0.02 | 0.31 | 17.91 | 0.15 | 0.18 | 3.46 | 0.09 | 0.32 | 4.46 | 0.16 | 0.20 | 2.32 | 0.10 | 0.18 | 1.49 | 0.09 | |
| TB-P1 | - | - | - | 0.82 | 0.14 | 16.92 | 1.84 | 0.29 | 15.65 | 5.71 | 0.40 | 6.95 | 10.65 | 0.11 | 0.99 | 14.05 | 0.26 | 1.88 | ||||
| TB-P2 | - | - | - | 0.54 | 0.09 | 17.04 | 1.64 | 0.14 | 8.43 | 4.91 | 0.24 | 4.85 | 9.67 | 0.20 | 2.10 | 14.64 | 0.02 | 0.15 | ||||
| Specific energy (kWh ha−1) | TA-P1 | - | - | - | 16.69 | 0.83 | 4.99 | 24.21 | 1.01 | 4.19 | 42.46 | 0.57 | 1.34 | 54.00 | 0.34 | 0.62 | 61.88 | 0.99 | 1.60 | 67.66 | 0.14 | 0.20 |
| TA-P2 | - | - | - | 19.75 | 1.43 | 7.22 | 24.87 | 1.20 | 4.84 | 43.22 | 0.65 | 1.50 | 50.71 | 0.42 | 0.82 | 56.61 | 0.73 | 1.30 | 66.09 | 0.20 | 0.31 | |
| TB-P1 | - | - | - | 15.94 | 0.63 | 3.97 | 24.98 | 0.39 | 1.55 | 41.50 | 0.68 | 1.63 | 57.51 | 0.44 | 0.76 | 65.70 | 0.14 | 0.21 | ||||
| TB-P2 | - | - | - | 15.99 | 0.77 | 4.85 | 25.78 | 1.71 | 6.64 | 41.32 | 0.48 | 1.15 | 56.59 | 0.54 | 0.95 | 69.62 | 0.08 | 0.11 | ||||
| Specific energy losses (kWh ha−1) | TA-P1 | - | - | - | 0.87 | 0.24 | 27.38 | 1.62 | 0.13 | 7.90 | 6.26 | 0.39 | 6.15 | 12.21 | 0.41 | 3.36 | 20.70 | 0.28 | 1.36 | 29.00 | 0.11 | 0.39 |
| TA-P2 | - | - | - | 0.86 | 0.04 | 4.11 | 1.54 | 0.29 | 18.90 | 5.06 | 0.19 | 3.69 | 7.86 | 0.35 | 4.47 | 10.52 | 0.23 | 2.23 | 19.50 | 0.40 | 2.08 | |
| TB-P1 | - | - | - | 0.71 | 0.13 | 17.77 | 1.64 | 0.28 | 16.83 | 5.83 | 0.49 | 8.32 | 14.38 | 0.17 | 1.16 | 23.94 | 0.80 | 3.35 | ||||
| TB-P2 | - | - | - | 0.47 | 0.08 | 17.55 | 1.47 | 0.13 | 8.71 | 4.85 | 0.25 | 5.20 | 11.86 | 0.28 | 2.35 | 29.41 | 0.15 | 0.51 | ||||
| Comparation At: | Comb. | s | Ft | Diff. Ft (Ref. TB-P1) | Diff. Slip (Ref. TB-P1) 1 | ||
|---|---|---|---|---|---|---|---|
| % | daN | daN | % | % | % | ||
| 20% slip | TA-P1 | 20 | 3591 | −106.4 | −2.9 | - | - |
| TA-P2 | 20 | 4104 | 406.2 | 11.0 | - | - | |
| TB-P1 | 20 | 3698 | 0.0 | 0.0 | - | - | |
| TB-P2 | 20 | 3886 | 187.9 | 5.1 | - | - | |
| 4000 daN Ft | TA-P1 | 25.33 | 4000 | - | - | 1.48 | 6.2 |
| TA-P2 | 18.90 | 4000 | - | - | −4.95 | −20.8 | |
| TB-P1 | 23.85 | 4000 | - | - | 0.00 | 0.0 | |
| TB-P2 | 21.58 | 4000 | - | - | −2.27 | −9.5 | |
| Comb. | Cha | Difference 1 | Esha | Difference 1 | Etha | Difference 1 | |||
|---|---|---|---|---|---|---|---|---|---|
| kg ha−1 | kg ha−1 | % | kWh ha−1 | kWh ha−1 | % | kWh ha−1 | kWh ha−1 | % | |
| TA-P1 | 27.98 | −0.40 | −1.40 | 13.57 | 0.77 | 6.02 | 69.46 | 0.79 | 1.15 |
| TA-P2 | 24.72 | −3.66 | −12.89 | 9.98 | −2.81 | −21.98 | 65.78 | −2.89 | −4.21 |
| TB-P1 | 28.37 | 0.00 | 0.00 | 12.80 | 0.00 | 0.00 | 68.67 | 0.00 | 0.00 |
| TB-P2 | 27.74 | −0.63 | −2.24 | 11.09 | −1.71 | −13.37 | 66.97 | −1.70 | −2.48 |
| Comb. | Descript. | d0–15 | d15–30 | d30–45 | d45–60 | d>60 | d0–80 |
|---|---|---|---|---|---|---|---|
| u.s. | Mean | 0.69 | 0.73 | 1.06 | 1.88 | 2.74 | 1.52 |
| Dev. St. | 0.25 | 0.08 | 0.14 | 0.42 | 0.31 | 0.19 | |
| Cv | 35.66 | 10.80 | 13.18 | 22.17 | 11.28 | 12.31 | |
| St. Error | 0.12 | 0.04 | 0.07 | 0.21 | 0.15 | 0.09 | |
| Max | 0.77 | 0.92 | 1.51 | 2.29 | 2.96 | 2.96 | |
| Min | 0.50 | 0.60 | 0.84 | 1.49 | 2.30 | 0.50 | |
| TAP1 | Mean | 1.66 | 0.92 | 1.09 | 1.89 | 2.80 | 1.76 |
| Dev. St. | 0.25 | 0.18 | 0.28 | 0.59 | 0.36 | 0.22 | |
| Cv | 14.97 | 19.76 | 26.00 | 31.00 | 12.79 | 12.58 | |
| St. Error | 0.12 | 0.09 | 0.14 | 0.29 | 0.18 | 0.11 | |
| Max | 2.16 | 1.01 | 1.43 | 2.44 | 2.92 | 2.92 | |
| Min | 0.84 | 0.84 | 0.88 | 1.50 | 2.58 | 0.84 | |
| TAP2 | Mean | 1.32 | 0.87 | 1.19 | 1.93 | 2.36 | 1.60 |
| Dev. St. | 0.42 | 0.10 | 0.14 | 0.66 | 0.49 | 0.24 | |
| Cv | 31.83 | 11.16 | 11.90 | 33.96 | 20.80 | 15.08 | |
| St. Error | 0.21 | 0.05 | 0.07 | 0.33 | 0.25 | 0.12 | |
| Max | 1.63 | 0.94 | 1.70 | 2.10 | 2.73 | 2.73 | |
| Min | 0.89 | 0.80 | 1.04 | 1.75 | 2.15 | 0.80 | |
| TBP1 | Mean | 1.59 | 0.94 | 1.14 | 1.83 | 2.10 | 1.56 |
| Dev. St. | 0.17 | 0.15 | 0.24 | 0.27 | 0.21 | 0.18 | |
| Cv | 10.90 | 15.88 | 21.13 | 15.00 | 9.98 | 11.71 | |
| St. Error | 0.09 | 0.07 | 0.12 | 0.14 | 0.10 | 0.09 | |
| Max | 2.05 | 1.09 | 1.66 | 2.02 | 2.44 | 2.44 | |
| Min | 1.05 | 0.76 | 0.72 | 1.60 | 1.85 | 0.72 | |
| TBP2 | Mean | 1.45 | 0.86 | 1.47 | 1.53 | 2.19 | 1.55 |
| Dev. St. | 0.16 | 0.14 | 0.25 | 0.46 | 0.38 | 0.23 | |
| Cv | 11.12 | 15.84 | 17.05 | 30.26 | 17.49 | 14.62 | |
| St. Error | 0.08 | 0.07 | 0.13 | 0.23 | 0.19 | 0.11 | |
| Max | 1.95 | 0.98 | 1.87 | 1.77 | 2.41 | 2.41 | |
| Min | 1.00 | 0.77 | 0.91 | 1.37 | 1.87 | 0.77 |
| Factors/Interaction | Df | Sum Sq. | Mean Sq. | F Value | Pr (>F) | Signif. |
|---|---|---|---|---|---|---|
| Replication | 3 | 0.61 | 0.204 | 2.386 | 0.0745 | . |
| Depth | 4 | 37.2 | 9.301 | 108.54 | <2−16 | *** |
| Tire | 1 | 0.53 | 0.532 | 6.205 | 0.0146 | * |
| Press | 2 | 1.41 | 0.704 | 8.22 | 0.0005 | *** |
| Depth:Tire | 4 | 1.44 | 0.359 | 4.193 | 0.0038 | ** |
| Depth:Press | 8 | 4.52 | 0.565 | 6.594 | 0.0000 | *** |
| Tire:Press | 2 | 0.29 | 0.144 | 1.677 | 0.1929 | |
| Depth:Tire:Press | 8 | 0.38 | 0.047 | 0.553 | 0.8132 | |
| Residuals | 87 | 7.46 | 0.086 | · | · | · |
| Interaction | Difference | lwr | upr | p Adj. | |
|---|---|---|---|---|---|
| Depth | d2-d1 | −0.338 | −0.574 | −0.103 | 0.001 |
| d3-d1 | −0.014 | −0.249 | 0.221 | 1.000 | |
| d4-d1 | 0.601 | 0.366 | 0.837 | 0.000 | |
| d5-d1 | 1.229 | 0.994 | 1.465 | 0.000 | |
| d3-d2 | 0.324 | 0.089 | 0.560 | 0.002 | |
| d4-d2 | 0.940 | 0.704 | 1.175 | 0.000 | |
| d5-d2 | 1.567 | 1.332 | 1.803 | 0.000 | |
| d4-d3 | 0.616 | 0.380 | 0.851 | 0.000 | |
| d4-d3 | 0.616 | 0.380 | 0.851 | 0.000 | |
| d5-d4 | 0.628 | 0.392 | 0.863 | 0.000 | |
| Pressure | p2-p1 | −0.063 | −0.219 | 0.093 | 0.603 |
| us-p1 | −0.255 | −0.411 | −0.099 | 0.001 | |
| us-p2 | −0.192 | −0.348 | −0.036 | 0.012 | |
| Tire | TB-TA | −0.133 | −0.239 | −0.027 | 0.015 |
| Interaction | Comb. | Significances | Notes | |
|---|---|---|---|---|
| No. | No. | % | ||
| Depth:Tire | 45 | 31 | 68.90 | 15 significant combinations (48.4%) contain TA vs. TB |
| Depth:Press | 105 | 65 | 61.90 | 31 significant combinations (63.8%) contain (US) |
| Descriptors | TA-P1 | TA-P2 | TB-P1 | TB-P2 | ||||
|---|---|---|---|---|---|---|---|---|
| Δci | θ | Δci | θ | Δci | θ | Δci | θ | |
| Mean | 0.83 | 24.05 | 0.55 | 22.91 | 0.98 | 24.52 | 0.86 | 23.30 |
| Max | 1.63 | 24.31 | 1.10 | 23.14 | 1.74 | 25.10 | 1.60 | 23.41 |
| Min | 0.20 | 23.87 | 0.07 | 22.78 | 0.42 | 24.21 | 0.20 | 23.15 |
| St. Dev. | 0.13 | 0.19 | 0.32 | 0.16 | 0.15 | 0.40 | 0.08 | 0.12 |
| CV | 15.92 | 0.10 | 57.99 | 0.08 | 14.82 | 0.20 | 8.89 | 0.06 |
| St. Err. | 0.07 | 0.80 | 0.16 | 0.71 | 0.07 | 1.63 | 0.04 | 0.50 |
| Factor/Inter. | Df | Sum Sq. | Mean Sq. | F Value | Pr (>F) | Sign. 1 |
|---|---|---|---|---|---|---|
| Replication | 3 | 0.219 | 0.073 | 2.914 | ||
| Tire | 1 | 0.212 | 0.212 | 8.461 | 0.017 | * |
| Press | 1 | 0.160 | 0.160 | 6.410 | 0.032 | * |
| Tire:Press | 1 | 0.023 | 0.023 | 0.928 | 0.361 | |
| Residuals | 9 | 0.225 | 0.025 | · | · | · |
| Factor/Inter. | Comparison | diff | lwr | upr | p Adj. |
|---|---|---|---|---|---|
| Tire | TB-TA | 0.230 | 0.051 | 0.409 | 0.017 |
| Press | P2-P1 | −0.200 | −0.379 | −0.021 | 0.032 |
| interaction Tire:Press | TB:P1/TA:P1 | 0.154 | −0.195 | 0.503 | 0.543 |
| TA:P2/TA:P1 | −0.276 | −0.626 | 0.073 | 0.132 | |
| TB:P2/TA:P1 | 0.030 | −0.319 | 0.379 | 0.993 | |
| TA:P2/TB:P1 | −0.430 | −0.779 | −0.081 | 0.017 | |
| TB:P2/TB:P1 | −0.124 | −0.473 | 0.225 | 0.693 | |
| TB:P2/TA:P2 | 0.306 | −0.043 | 0.655 | 0.089 |
| Before Tractor Passes | After Tractor Passes | Variation | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| u.s. | CI0–20 (MPa) | θ | ρw | e | Φ | Comb. | CI0–20 (MPa) | θ | ρw | e | Φ | Δρw | Δe | ΔΦ |
| (cm3 cm−3) | (g cm−3) | (%) | (cm3 cm−3) | (g cm−3) | (%) | (%) | (%) | (%) | ||||||
| TA plot | 0.6 | 0.220 | 1.38 | 0.957 | 0.49 | TAP1 | 1.43 | 0.24 | 1.657 | 0.630 | 0.39 | 20.1 | −34.2 | −21.14 |
| TAP2 | 1.15 | 0.23 | 1.569 | 0.721 | 0.42 | 13.7 | −24.6 | −14.52 | ||||||
| TB-plot | 0.51 | 0.222 | 1.37 | 0.971 | 0.492 | TBP1 | 1.49 | 0.245 | 1.678 | 0.609 | 0.38 | 22.5 | −37.3 | −23.07 |
| TBP2 | 1.37 | 0.233 | 1.625 | 0.662 | 0.40 | 18.6 | −31.8 | −19.06 | ||||||
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Fanigliulo, R.; Pochi, D.; Grilli, R.; Benigni, S.; Scutaru, D.; Fornaciari, L. Comparative Tests of Two Tire Models for Agricultural Tractors: Soil Compaction, Tractive Performance and Energy Requirements. Environments 2026, 13, 150. https://doi.org/10.3390/environments13030150
Fanigliulo R, Pochi D, Grilli R, Benigni S, Scutaru D, Fornaciari L. Comparative Tests of Two Tire Models for Agricultural Tractors: Soil Compaction, Tractive Performance and Energy Requirements. Environments. 2026; 13(3):150. https://doi.org/10.3390/environments13030150
Chicago/Turabian StyleFanigliulo, Roberto, Daniele Pochi, Renato Grilli, Stefano Benigni, Daniela Scutaru, and Laura Fornaciari. 2026. "Comparative Tests of Two Tire Models for Agricultural Tractors: Soil Compaction, Tractive Performance and Energy Requirements" Environments 13, no. 3: 150. https://doi.org/10.3390/environments13030150
APA StyleFanigliulo, R., Pochi, D., Grilli, R., Benigni, S., Scutaru, D., & Fornaciari, L. (2026). Comparative Tests of Two Tire Models for Agricultural Tractors: Soil Compaction, Tractive Performance and Energy Requirements. Environments, 13(3), 150. https://doi.org/10.3390/environments13030150

