Radoslav Majdan
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Radoslav Majdan has a total of 34 co-authors. Here are the top co-authors by number of shared publications:
- Rudolf Abrahám
Institute of Agricultural Engineering, Transport and Bioenergetics, Faculty of Engineering, Slovak University of Agriculture in Nitra, 949 76 Nitra, Slovakia
13 shared publications - Zdenko Tkáč
Institute of Agricultural Engineering, Transport and Bioenergetics, Faculty of Engineering, Slovak University of Agriculture in Nitra, 949 76 Nitra, Slovakia
10 shared publications - Katarína Kollárová
Information and Coordination Centre of Research, Faculty of Engineering, Slovak University of Agriculture in Nitra, 949 76 Nitra, Slovakia
8 shared publications - Eva Matejková
Department of Statistics and Operations Research, Faculty of Economics and Management, Slovak University of Agriculture in Nitra, Tr. A. Hlinku 2, 949 76 Nitra, Slovakia
5 shared publications - Soňa Masarovičová
Department of Geotechnics, Faculty of Civil Engineering, University of Žilina, 010 26 Žilina, Slovakia
4 shared publications - Ľubomír Kubík
Institute of Electrical Engineering, Automation, Informatics and Physics, Faculty of Engineering, Slovak University of Agriculture in Nitra, 949 76 Nitra, Slovakia
4 shared publications
Latest Publications
- Open Access
- 24 October 2026
- Published by MDPI AG in Agriculture
- Vol. 16 (21) , 2322
Comparative Study on Lateral and Longitudinal Stability: Standard Versus Modified Tractor with Improved Rollover Resistance Under Various ROPS Configurations
Tractor rollover is a very common occupational accident in agriculture. Rear-wheel-drive tractors, which are often used worldwide without a cab, pose the greatest risk to human health and life in case of an overturn. Therefore, this study focuses on operational factors influencing tractor stability on slopes, with regard to the use of rollover protective structures (ROPSs). The static lateral and longitudinal stability of a standard rear-wheel-drive tractor and a modified one enhanced against rollover were compared. The comparison considered the improved geometric dimensions of the modified tractor and its axle load distribution. The influence of ROPS and ballast weights on slope stability of the experimental tractors was evaluated. The modified tractor achieved higher lateral overturning angles in all configurations compared to the standard tractor (from 22.1% to 30.1%). Maximum longitudinal overturning angle reached 37.21° for the modified tractor and 33.32° for the standard tractor (double rear ballast weight). Applying ballast weight to the front and rear of the tractor, the study proposed compensating for the decrease in the tractor stability caused by ROPS, while simultaneously improving longitudinal stability.
- 24 October 2026
- Published by MDPI AG in Agriculture
- Vol. 16 (21) , 2322
Open AccessComparative Study on Lateral and Longitudinal Stability: Standard Versus Modified Tractor with Improved Rollover Resistance Under Various ROPS Configurations
Tractor rollover is a very common occupational accident in agriculture. Rear-wheel-drive tractors, which are often used worldwide without a cab, pose the greatest risk to human health and life in case of an overturn. Therefore, this study focuses on operational factors influencing tractor stability on slopes, with regard to the use of rollover protective structures (ROPSs). The static lateral and longitudinal stability of a standard rear-wheel-drive tractor and a modified one enhanced against rollover were compared. The comparison considered the improved geometric dimensions of the modified tractor and its axle load distribution. The influence of ROPS and ballast weights on slope stability of the experimental tractors was evaluated. The modified tractor achieved higher lateral overturning angles in all configurations compared to the standard tractor (from 22.1% to 30.1%). Maximum longitudinal overturning angle reached 37.21° for the modified tractor and 33.32° for the standard tractor (double rear ballast weight). Applying ballast weight to the front and rear of the tractor, the study proposed compensating for the decrease in the tractor stability caused by ROPS, while simultaneously improving longitudinal stability.
- Open Access
Comparing Horizontal and Vertical Soil Resistance in No-Till and Tilled Fields Following Multiple Tractor Passes
Despite various technical measures, the soil is negatively affected by the passage of agricultural machinery. This study presents soil resistance measured by a horizontal on-the-go soil resistance force sensor and a vertical penetrologger on a medium-plasticity clay loam (41% particles < 0.01 mm, organic matter 5.43%) in Krakovany village (Western Slovakia). The field has been managed using a no-till system since 2013, with no seedbed preparation performed since 2017. In-track data after multiple passes of a tractor were compared with out-track data. The results indicate that the most significant increase in horizontal soil resistance force occurred after the first pass, with each subsequent increase being smaller than the previous one. The no-till field showed the smallest percentage increase in soil resistance force after one tractor pass compared to conventionally tilled fields previously studied using the same methodology in the same soil region. Out-track SRF reached values similar to those of the conventionally tilled field after harvest. Vertical penetration resistance showed the lowest increase at depths of 9 to 25 cm in the no-till field compared to tilled fields. The highest values were observed at a depth of 9 cm, whereas at 25 cm, the values approached their minimum in comparison with tilled fields. These findings suggest that long-term no-till management may contribute to reducing machinery-induced soil compaction compared to conventional tillage.
Open AccessComparing Horizontal and Vertical Soil Resistance in No-Till and Tilled Fields Following Multiple Tractor Passes
Despite various technical measures, the soil is negatively affected by the passage of agricultural machinery. This study presents soil resistance measured by a horizontal on-the-go soil resistance force sensor and a vertical penetrologger on a medium-plasticity clay loam (41% particles < 0.01 mm, organic matter 5.43%) in Krakovany village (Western Slovakia). The field has been managed using a no-till system since 2013, with no seedbed preparation performed since 2017. In-track data after multiple passes of a tractor were compared with out-track data. The results indicate that the most significant increase in horizontal soil resistance force occurred after the first pass, with each subsequent increase being smaller than the previous one. The no-till field showed the smallest percentage increase in soil resistance force after one tractor pass compared to conventionally tilled fields previously studied using the same methodology in the same soil region. Out-track SRF reached values similar to those of the conventionally tilled field after harvest. Vertical penetration resistance showed the lowest increase at depths of 9 to 25 cm in the no-till field compared to tilled fields. The highest values were observed at a depth of 9 cm, whereas at 25 cm, the values approached their minimum in comparison with tilled fields. These findings suggest that long-term no-till management may contribute to reducing machinery-induced soil compaction compared to conventional tillage.
- Open Access
Comparison of Radial Ply and Cross Ply Tire in Terms of Achieved Rolling Resistance and Soil Compaction in a Soil Test Channel
Many literature sources state that radial ply tires achieve lower rolling resistance values than cross ply tires. From a certain point of view, radial ply tires are gentler on the ground than cross ply tires. The effort was therefore to experimentally verify this statement for two radial ply and cross ply tires similar in shape and size. The work deals with the diagnostics of rolling resistance levels achieved by radial ply and cross ply tires on selected forest soil under the laboratory conditions of a soil test channel. BKT 210/95 R16 Agrimax RT 855 and Özka 7.50-16 8PR KNK 50 were chosen as radial ply and cross ply tires, respectively, and had approximately the same dimensions. The soil in the soil test channel can be characterized as a loamy sand with an average moisture content of 30% and an initial bulk density of 1445.07 kg·m−3. Another monitored parameter was the diagnostics of changes in soil density caused by tire movement in order to assess the degree of soil compaction. From the results of the work, it follows that there is no statistically significant difference between radial ply and cross ply tires in terms of the achieved levels of rolling resistance on the soil. The observed tires also caused intense compaction of the soil in the soil test channel, especially at higher tire pressures and higher vertical loads. The analysis of the results also shows that changes in tire pressure in both tires cause more energy loss and soil compaction than changes in the vertical load.
Open AccessComparison of Radial Ply and Cross Ply Tire in Terms of Achieved Rolling Resistance and Soil Compaction in a Soil Test Channel
Many literature sources state that radial ply tires achieve lower rolling resistance values than cross ply tires. From a certain point of view, radial ply tires are gentler on the ground than cross ply tires. The effort was therefore to experimentally verify this statement for two radial ply and cross ply tires similar in shape and size. The work deals with the diagnostics of rolling resistance levels achieved by radial ply and cross ply tires on selected forest soil under the laboratory conditions of a soil test channel. BKT 210/95 R16 Agrimax RT 855 and Özka 7.50-16 8PR KNK 50 were chosen as radial ply and cross ply tires, respectively, and had approximately the same dimensions. The soil in the soil test channel can be characterized as a loamy sand with an average moisture content of 30% and an initial bulk density of 1445.07 kg·m−3. Another monitored parameter was the diagnostics of changes in soil density caused by tire movement in order to assess the degree of soil compaction. From the results of the work, it follows that there is no statistically significant difference between radial ply and cross ply tires in terms of the achieved levels of rolling resistance on the soil. The observed tires also caused intense compaction of the soil in the soil test channel, especially at higher tire pressures and higher vertical loads. The analysis of the results also shows that changes in tire pressure in both tires cause more energy loss and soil compaction than changes in the vertical load.
- Open Access
- 29 March 2024
- Published by MDPI AG in Agriculture
- Vol. 14 (4) , 545
Spike Device with Worm Gear Unit for Driving Wheels to Improve the Traction Performance of Compact Tractors on Grass Plots
In general, energy loss reduction via the interaction of tires with the ground improves tractor traction performance when a drawbar pull is generated. This paper is examines the driving wheels with steel spikes for a tractor equipped with modern radial tires. An improved design of the spike device that allows for the change between an active and inactive position of the spikes is presented. The traction performance of a compact articulated tractor with the spike device was tested on a grass plot with two soil moisture contents (SMC). The highest difference in the drawbar pull in the range from 14.2% to 40.5% and from 17.1% to 36.8% was reached by the spikes in the active position in comparison with the tires without spikes, which were at the slip range from 45% to 5% in the case of the low SMC when the test tractor was in the 3rd and 1st gear. The motion resistance difference between the spikes in the active position and the tires without spikes was 11.8% and 2.5% at the low and medium SMC, respectively. At the low and medium SMC, the highest tractive efficiency of 0.765 (0.721) and 0.757 (0.731) was reached by the spikes in the active position when the test tractor was in the 1st (3rd) gear in comparison with 0.736 (0.7) and 0.723 (0.708) in the case of the tires without spikes. The results indicated that the spike device allowed for the improvement of tractor tractive performance.
- 29 March 2024
- Published by MDPI AG in Agriculture
- Vol. 14 (4) , 545
Open AccessSpike Device with Worm Gear Unit for Driving Wheels to Improve the Traction Performance of Compact Tractors on Grass Plots
In general, energy loss reduction via the interaction of tires with the ground improves tractor traction performance when a drawbar pull is generated. This paper is examines the driving wheels with steel spikes for a tractor equipped with modern radial tires. An improved design of the spike device that allows for the change between an active and inactive position of the spikes is presented. The traction performance of a compact articulated tractor with the spike device was tested on a grass plot with two soil moisture contents (SMC). The highest difference in the drawbar pull in the range from 14.2% to 40.5% and from 17.1% to 36.8% was reached by the spikes in the active position in comparison with the tires without spikes, which were at the slip range from 45% to 5% in the case of the low SMC when the test tractor was in the 3rd and 1st gear. The motion resistance difference between the spikes in the active position and the tires without spikes was 11.8% and 2.5% at the low and medium SMC, respectively. At the low and medium SMC, the highest tractive efficiency of 0.765 (0.721) and 0.757 (0.731) was reached by the spikes in the active position when the test tractor was in the 1st (3rd) gear in comparison with 0.736 (0.7) and 0.723 (0.708) in the case of the tires without spikes. The results indicated that the spike device allowed for the improvement of tractor tractive performance.
- Open Access
Data Acquisition System for On-the-Go Soil Resistance Force Sensor Using Soil Cutting Blades
Worldwide, agricultural land is a dominant part of the environment. It is very important to understand the physical properties of soil because they directly or indirectly affect the entire human population. This paper proposes a data acquisition system for an original design of the soil resistance force sensor (SRFS). It serves to evaluate the properties of soil affected and unaffected by tractor passages through the field. The SRSF uses two cutting blades to measure soil mechanical resistance within the tire track and outside the tire track. The proposed system consists of two load cells, datalogger, power supply and software for personal computers. The system was practically tested under field operation. The results showed significant differences between the soil resistance force measured outside the tire track and within the tire track after one, two and three tractor passages. The data were compared with penetrometer resistance and soil bulk density, standardly characterizing soil mechanical resistance. An increase of soil resistance force after one, two and three tractor passages corresponded with an increase in reference parameters. The results showed that the proposed system is suitable for practical applications to evaluate soil mechanical resistance using SRFS.
Open AccessData Acquisition System for On-the-Go Soil Resistance Force Sensor Using Soil Cutting Blades
Worldwide, agricultural land is a dominant part of the environment. It is very important to understand the physical properties of soil because they directly or indirectly affect the entire human population. This paper proposes a data acquisition system for an original design of the soil resistance force sensor (SRFS). It serves to evaluate the properties of soil affected and unaffected by tractor passages through the field. The SRSF uses two cutting blades to measure soil mechanical resistance within the tire track and outside the tire track. The proposed system consists of two load cells, datalogger, power supply and software for personal computers. The system was practically tested under field operation. The results showed significant differences between the soil resistance force measured outside the tire track and within the tire track after one, two and three tractor passages. The data were compared with penetrometer resistance and soil bulk density, standardly characterizing soil mechanical resistance. An increase of soil resistance force after one, two and three tractor passages corresponded with an increase in reference parameters. The results showed that the proposed system is suitable for practical applications to evaluate soil mechanical resistance using SRFS.
- Open Access
- 26 March 2022
- Published by MDPI AG in Agriculture
- Vol. 12 (4) , 471
Fatigue Analysis of Spike Segment of Special Tractor Wheels in Terms of Design Improvement for Chernozem Soil
The driving wheels affect the tractive efficiency, fuel consumption, and soil compaction. This study presents the fatigue analysis of a spike segment that is the main part of an innovative driving wheels designed to improve tractor tractive performance. The design improvement was proposed for Chernozem soil allowing the full penetration of spikes. The spike segment was loaded by forces resulting from the maximum drawbar pull at 100% wheel slip and penetrometer resistance. A drawbar pull increase caused by the spike tires was also calculated. The experiments were performed using a subcompact tractor in the first gear on a grass field at soil moisture 18.8%. Gerber theory was used for the fatigue analysis performed using ANSYS software. The dependances of the safety factor on the horizontal rod diameter and the number of load cycles was constructed. The safety factor of 1.73 calculated for the spike segment made of steel S355 is suitable for the reduction of the actual horizontal rod diameter (12 mm). The fatigue analysis showed a safety factor of 1.28 at 100,000 load cycles in the case of a reduced diameter (10 mm). A diameter of 8 mm was also simulated, but the calculated safety factors do not allow it in terms of safe operation.
- 26 March 2022
- Published by MDPI AG in Agriculture
- Vol. 12 (4) , 471
Open AccessFatigue Analysis of Spike Segment of Special Tractor Wheels in Terms of Design Improvement for Chernozem Soil
The driving wheels affect the tractive efficiency, fuel consumption, and soil compaction. This study presents the fatigue analysis of a spike segment that is the main part of an innovative driving wheels designed to improve tractor tractive performance. The design improvement was proposed for Chernozem soil allowing the full penetration of spikes. The spike segment was loaded by forces resulting from the maximum drawbar pull at 100% wheel slip and penetrometer resistance. A drawbar pull increase caused by the spike tires was also calculated. The experiments were performed using a subcompact tractor in the first gear on a grass field at soil moisture 18.8%. Gerber theory was used for the fatigue analysis performed using ANSYS software. The dependances of the safety factor on the horizontal rod diameter and the number of load cycles was constructed. The safety factor of 1.73 calculated for the spike segment made of steel S355 is suitable for the reduction of the actual horizontal rod diameter (12 mm). The fatigue analysis showed a safety factor of 1.28 at 100,000 load cycles in the case of a reduced diameter (10 mm). A diameter of 8 mm was also simulated, but the calculated safety factors do not allow it in terms of safe operation.
- Open Access
- 9 September 2021
- Published by MDPI AG in Agriculture
- Vol. 11 (9) , 861
Alternative Models for Calculation of Static Overturning Angle and Lateral Stability Analysis of Subcompact and Universal Tractors
Vehicle lateral stability is evaluated using the static overturning angle. The correct value of this parameter depends on the calculation method. The aim of this study was to compare the latest standard with previously published methodology, to propose two alternative methodologies (Models 1 and 2) and to analyze the influence of various levels of rear wheel ballast weights and overall tire widths on the stability of universal and subcompact tractors. The results showed a significant regression effect of the rear wheel ballast weight on static overturning angle. The influence of the rear wheel ballast weight was higher in the subcompact tractor than in the universal tractor due to a larger distance between the height of the center of gravity and the center of the rear axle. Comparing the latest standard with the previously published methodology, the highest difference values were 13.82% and 7.30%. Both models are based on the previously published methodology and differ from each other in rolling and slope lines. The methodology proposed in Model 2 differed from the standard similarly to the previously published methodology; therefore, it is irrelevant. Model 1 reached differences of only −1.81% and −1.63%, representing a minimal difference from the standard.
- 9 September 2021
- Published by MDPI AG in Agriculture
- Vol. 11 (9) , 861
Open AccessAlternative Models for Calculation of Static Overturning Angle and Lateral Stability Analysis of Subcompact and Universal Tractors
Vehicle lateral stability is evaluated using the static overturning angle. The correct value of this parameter depends on the calculation method. The aim of this study was to compare the latest standard with previously published methodology, to propose two alternative methodologies (Models 1 and 2) and to analyze the influence of various levels of rear wheel ballast weights and overall tire widths on the stability of universal and subcompact tractors. The results showed a significant regression effect of the rear wheel ballast weight on static overturning angle. The influence of the rear wheel ballast weight was higher in the subcompact tractor than in the universal tractor due to a larger distance between the height of the center of gravity and the center of the rear axle. Comparing the latest standard with the previously published methodology, the highest difference values were 13.82% and 7.30%. Both models are based on the previously published methodology and differ from each other in rolling and slope lines. The methodology proposed in Model 2 differed from the standard similarly to the previously published methodology; therefore, it is irrelevant. Model 1 reached differences of only −1.81% and −1.63%, representing a minimal difference from the standard.
- Open Access
Frequency Spectra Analysis of Drawbar Pulls Generated by Special Driving Wheels Improving Tractive Performance
Driving wheel operation is characterized by force interactions with the ground, manifested in the form of vibrations. Signals generated by driving wheels can be analyzed in the frequency spectrum of tractor drawbar pull. The paper presents the analysis of a drawbar pull signal generated by a tractor equipped with two types of special driving wheels and standard tires. Beside the evaluation of special driving wheels’ properties according to drawbar power, the frequency spectra of measured signals were analyzed using a fast Fourier transformation. The model spectrum intervals for the standard tires, spike tires, and blade wheels were calculated according to the number of rubber lugs, blades, or spikes and compared with the experimental results. The results showed that the specific frequencies typical for blades and spikes were identified in model spectrum intervals. In the case of standard tires, the spectrum components typical for rubber lugs of the tire tread pattern were not identified. The highest amplitude of the typical frequency component was detected in the case of blades wheels, which showed the highest difference in drawbar power in comparison with the standard tires. Smaller dimensions of spikes resulted in lower amplitude and lower difference in drawbar power in comparison with the standard tires.
Open AccessFrequency Spectra Analysis of Drawbar Pulls Generated by Special Driving Wheels Improving Tractive Performance
Driving wheel operation is characterized by force interactions with the ground, manifested in the form of vibrations. Signals generated by driving wheels can be analyzed in the frequency spectrum of tractor drawbar pull. The paper presents the analysis of a drawbar pull signal generated by a tractor equipped with two types of special driving wheels and standard tires. Beside the evaluation of special driving wheels’ properties according to drawbar power, the frequency spectra of measured signals were analyzed using a fast Fourier transformation. The model spectrum intervals for the standard tires, spike tires, and blade wheels were calculated according to the number of rubber lugs, blades, or spikes and compared with the experimental results. The results showed that the specific frequencies typical for blades and spikes were identified in model spectrum intervals. In the case of standard tires, the spectrum components typical for rubber lugs of the tire tread pattern were not identified. The highest amplitude of the typical frequency component was detected in the case of blades wheels, which showed the highest difference in drawbar power in comparison with the standard tires. Smaller dimensions of spikes resulted in lower amplitude and lower difference in drawbar power in comparison with the standard tires.
- Open Access
- 2 January 2021
- Published by MDPI AG in Applied Sciences
- Vol. 11 (1) , 381
Static Lateral Stability of Tractor with Rear Wheel Ballast Weights: Comparison of ISO 16231-2 (2015) with Experimental Data Regarding Tyre Deformation
The paper presents a static lateral stability of a sub-compact tractor MT8-070 Mini in relation to a safe tractor operation. Axle weight distribution of the tractor was measured to calculate the vertical and longitudinal coordinates of a centre of gravity (COG). Experiments were aimed at the tractor equipped with no and four levels of rear wheel ballast weights (30.5, 61, 91.5 and 122 kg) at standard and extended overall width on tyres. A static overturning angle was calculated and experimentally measured when the tractor with right wheels touching the ground was in a state of unstable equilibrium. Comparing the experimental data with ISO 16231-2 (2015), the differences were 2.57%, 2.80%, 3.04%, 3.42% and 3.88% in the case of the standard overall width on tyres and 2.40%, 2.61%, 3.11%, 3.67% and 3.99% in the case of the extended overall width on tyres at 0, 30.5, 91.5 and 122 kg of the rear wheel ballast weight. Considering the vertical tyre deformation and the lateral shift of the tyre, the differences decreased to 0.95%, 1.11%, 1.29%, 1.85% and 1.42% (standard overall width on tyres) and 0.91%, 1.18%, 1.69%, 2.27% and 2.57% (extended overall width on tyres). The length of a rubber lug of a tyre contact patch did not change when the tractor was inclined at various ballast weights and did not affect the static overturning angle calculation according to ISO 16231-2 (2015). Results showed higher static overturning angle experimentally measured in comparison with calculated according to ISO 16231-2 (2015) due to the tyre deformation. Limiting the tractor operation on the basis of the static overturning angle calculated according to ISO 16231-2 (2015) avoids the tractor usage under dangerous operation conditions.
- 2 January 2021
- Published by MDPI AG in Applied Sciences
- Vol. 11 (1) , 381
Open AccessStatic Lateral Stability of Tractor with Rear Wheel Ballast Weights: Comparison of ISO 16231-2 (2015) with Experimental Data Regarding Tyre Deformation
The paper presents a static lateral stability of a sub-compact tractor MT8-070 Mini in relation to a safe tractor operation. Axle weight distribution of the tractor was measured to calculate the vertical and longitudinal coordinates of a centre of gravity (COG). Experiments were aimed at the tractor equipped with no and four levels of rear wheel ballast weights (30.5, 61, 91.5 and 122 kg) at standard and extended overall width on tyres. A static overturning angle was calculated and experimentally measured when the tractor with right wheels touching the ground was in a state of unstable equilibrium. Comparing the experimental data with ISO 16231-2 (2015), the differences were 2.57%, 2.80%, 3.04%, 3.42% and 3.88% in the case of the standard overall width on tyres and 2.40%, 2.61%, 3.11%, 3.67% and 3.99% in the case of the extended overall width on tyres at 0, 30.5, 91.5 and 122 kg of the rear wheel ballast weight. Considering the vertical tyre deformation and the lateral shift of the tyre, the differences decreased to 0.95%, 1.11%, 1.29%, 1.85% and 1.42% (standard overall width on tyres) and 0.91%, 1.18%, 1.69%, 2.27% and 2.57% (extended overall width on tyres). The length of a rubber lug of a tyre contact patch did not change when the tractor was inclined at various ballast weights and did not affect the static overturning angle calculation according to ISO 16231-2 (2015). Results showed higher static overturning angle experimentally measured in comparison with calculated according to ISO 16231-2 (2015) due to the tyre deformation. Limiting the tractor operation on the basis of the static overturning angle calculated according to ISO 16231-2 (2015) avoids the tractor usage under dangerous operation conditions.
- 15 June 2018
- Published by Faculty of Engineering, University of Kragujevac in Tribology in Industry
- Vol. 40 (2) , 183-194
Pressure Surge Analysis of a Test Bench for Biodegradable Hydraulic Oils
- 15 June 2018
- Published by Faculty of Engineering, University of Kragujevac in Tribology in Industry
- Vol. 40 (2) , 183-194
Pressure Surge Analysis of a Test Bench for Biodegradable Hydraulic Oils