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Fast analytical models of wheeled locomotion in deformable terrain for mobile robots

Published online by Cambridge University Press:  16 March 2012

Zhenzhong Jia ,
William Smith  and
Huei Peng
Zhenzhong Jia*
Affiliation:
Department of Mechanical Engineering and Ground Robotics Reliability Center (GRRC), University of Michigan, Ann Arbor, MI, 48109, USA
William Smith
Affiliation:
Department of Mechanical Engineering and Ground Robotics Reliability Center (GRRC), University of Michigan, Ann Arbor, MI, 48109, USA
Huei Peng
Affiliation:
Department of Mechanical Engineering and Ground Robotics Reliability Center (GRRC), University of Michigan, Ann Arbor, MI, 48109, USA
*
*Corresponding author. E-mail: [email protected]
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Summary

Hazardous terrains pose a crucial challenge to mobile robots. To operate safely and efficiently, it is necessary to detect the terrain type and modify operation strategies in real-time. Fast analytical models of wheeled locomotion on deformable terrains are thus important. Based on classic terramechanics, a closed-form wheel–soil interaction model was derived by quadratic approximation of stresses along the wheel–soil interface. The bulldozing resistance and the effects of grousers were also added for more accurate prediction of wheel contact forces. A non-iterative method was proposed to estimate the entry angle, by using approximated vertical pressure acting on the wheels. The computational efficiency was improved by avoiding traditional recursive search. Real-time computation of the wheel contact forces is achieved by the terramechanics-based formula (TBF), which was developed by integrating the wheel–soil interaction model and the entry angle estimator. In addition, an automotive-inspired approach was used to integrate the TBF and the simplified vehicle dynamics model for fast simulation of mobile robots. Stability problems in numerical simulation could be avoided by this method. The above models were verified by comparing simulation results and experiment data, including single-wheel experiments and full-vehicle experiments.

Keywords

Analytical modelWheeled locomotionReal-timeTerramechanicsMobile robots
Type
Articles
Information
Robotica , Volume 31 , Issue 1 , January 2013 , pp. 35 - 53
Copyright
Copyright © Cambridge University Press 2012

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References

1.Iagnemma, K. and Dubowsky, S., Mobile Robot in Rough Terrain: Estimation, Motion Planning, and Control with Application to Planetary Rovers, Springer Tracts in Advanced Robotics, vol. 12 (Springer, Berlin, Germany, 2004).CrossRefGoogle Scholar
2.Ishigami, G., Kewlani, G. and Iagnemma, K., “Predictable mobility,” IEEE Robot. Auto. Mag. 16 (4), 61–70 (2009).CrossRefGoogle Scholar
3.Morales, J., Martínez, J. L., Mandow, A., García-Cerezo, A. J. and Pedraza, S., “Power consumption modeling of skid-steer tracked mobile robots on rigid terrain,” IEEE Trans. Robot. 25 (5), 1098–1108 (2009).CrossRefGoogle Scholar
4.Bekker, M. G., Theory of Land Locomotion (The University of Michigan Press, Ann Arbor, MI, 1956).Google Scholar
5.Bekker, M. G., Off the Road Locomotion (The University of Michigan Press, Ann Arbor, MI, 1960).Google Scholar
6.Bekker, M. G., Introduction to Terrain-Vehicle Systems (The University of Michigan Press, Ann Arbor, MI, 1969).Google Scholar
7.Wong, J. Y., Terramechanics and Off-Road Vehicles (Elsevier, Amsterdam, Netherlands, 1989).Google Scholar
8.Wong, J. Y.. Theory of Ground Vehicles, 4th ed. (John Wiley, New York, Aug. 2008).Google Scholar
9.Wong, J. Y. and Reece, A. R., “Prediction of rigid wheels performance based on analysis of soil-wheel stresses, part I. performance of driven rigid wheels,” J. Terramechanics 4 (1), 81–98 (1967).CrossRefGoogle Scholar
10.Wong, J. Y. and Chiang;, C. F. “A general theory for skid steering of tracked vehicles on firm ground,” Proc. Inst. Mech. Eng. D (J Automob. Eng.) 215 (3), 343–355 (2001).CrossRefGoogle Scholar
11.Tran, T. H., “Modeling and Control of Unmanned Ground Vehicles,” Ph.D. Thesis (Sydney, Australia: Faculty of Engineering, University of Technology, Sydney, Sep. 2007).Google Scholar
12.Ishigami, G., Miwa, A., Nagatani, K. and Yoshida, K., “Terramechanics-based model for steering maneuver of planetary exploration rovers on loose soil,” J. Field Robot. 24 (3), 233–250 (2007).CrossRefGoogle Scholar
13.Jia, Z., Smith, W. and Peng, H., “Terramechanics-based wheel–terrain interaction model and its applications to off-road wheeled mobile robots,” Robotica, 2011 First View Article, pp. 1–13, doi:10.1017/S0263574711000798.CrossRefGoogle Scholar
14.Harnish, C., Lach, B., Jakobs, R., Troulis, M. and Nehls, O., “A new tyre-soil interaction model for vehicle simulation on deformable ground,” Veh. Syst. Dyn. 43 (1), 384–394 (2005).CrossRefGoogle Scholar
15.AESCO, Matlab/Simulink Module AS2TM User's Guide (version 1.12) (online). available at: http://www.aesco.de/ (accessed Sep., 2009) (2005).Google Scholar
16.Bauer, R., Leung, W. and Barfoot, T., “Experimental and Simulation Results of Wheel-Soil Interaction for Planetary Rovers,” In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Shaw Conference Center, Edmonton, Alberta, Canada (Aug. 2–6, 2005) pp. 586–591.Google Scholar
17.Shibly, H., Iagnemma, K. and Dubowsky, S., “An equivalent soil mechanics formulation for rigid wheels in deformable terrain, with application to planetary exploration rovers,” J. Terramechanics 42 (1), 1–13 (2005).CrossRefGoogle Scholar
18.Hegedus, E., “A simplified method for the determination of bulldozing resistance,” Land Locomotion Research Laboratory, Army Tank Automotive Command Report, 61 (Whittemore, MI, 1960).Google Scholar
19.Ishigami, G., “Terramechanics-based Analysis and Control for Lunar/Planetary Exploration Robots,” Ph.D. Thesis (Sendai, Miyagi, Japan: Dept. of Aerospace Engineering, Tohoku University, Mar. 2008).Google Scholar
20.Sohl, G. and Jain, A., “Wheel-Terrain Contact Modeling in the ROAMS Planetary Rover Simulation,” Proceedings of ASME International Design Engineering Technical Conferences (IDETC) and Computers and Information in Engineering Conference (CIE), Long Beach, CA, USA (Sep. 24–28, 2005).Google Scholar
21.Ishigmai, G., “Locomotion Mechanics for Planetary Exploration Rovers based on Steering Characteristics,” Master's Thesis (Sendai, Miyagi, Japan: Dept. of Aerospace Engineering, Tohoku University, Mar. 2005).Google Scholar
22.Ding, L., Gao, H., Deng, Z., Nagatani, K. and Yoshida, K., “Experimental study and analysis on driving wheels' performance for planetary exploration rovers moving in deformable soil,” J. Terramechanics 48 (1), 27–45 (2011).CrossRefGoogle Scholar
23.Schäfer, B., Gibbesch, A., Krenn, R. and Rebele, B., “Planetary rover mobility simulation on soft and uneven terrain,” Veh. Syst. Dyn. 48 (1), 149–169 (2010).CrossRefGoogle Scholar
24.Jia, Z., Smith, W. and Peng, H., “Fast computation of wheel-soil interactions for safe and efficient operation of mobile robots,” 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 3004–3010 (2011).CrossRefGoogle Scholar
25.Ishigami, G. and Yoshida, K. “Steering Characteristics of an Exploration Rover on Loose Soil Based on All-wheel Dynamics Model,” Proceedings of the IEEE International Conference on Intelligent Robots and Systems (IROS), Edmonton, Alberta, Canada (2005).Google Scholar
26.Costes, N. C., Farmer, J. E. and George, E. B., “Mobility Performance of the Lunar Roving Vehicle: Terrestrial Studies–Apollo 15 Results”, NASA Report TR-sR-401 (Washington, DC, 1972).Google Scholar