A new framework is developed for efficient implementation of semi-empirical terramechanics models in multibody dynamics environments. In this approach, for every wheel in contact with soft soil, unilateral contact constraints are added for both the normal direction and the tangent plane. The forces associated with the latter, like traction and rolling resistance, are formulated in this approach as set-valued force laws, their properties being determined by deregularization of the terramechanics relations. As shown in the paper, this leads to the dynamics representation in the form of a linear complementarity problem (LCP). With this formulation, stable simulation of rovers is achieved even at relatively large time steps. In addition, a high-resolution height-field (HF) is employed to model terrain-surface deformation and changes in hardening of soil under the wheel. As a result, the multipass effect is captured in the presented approach. In addition, an extensive set of experiments was conducted using a version of the Juno rover (Juno II). The experimental results are analyzed and compared with the model developed in the paper.

References

References
1.
Bekker
,
M. G.
,
1956
,
Theory of Land Locomotion
,
The University of Michigan Press
,
Ann Arbor, MI
.
2.
Bekker
,
M. G.
,
1969
,
Introduction to Terrain-Vehicle Systems
,
The University of Michigan Press
,
Ann Arbor, MI
.
3.
Wong
,
J. Y.
, and
Reece
,
A. R.
,
1967
, “
Prediction of Rigid Wheel Performance Based on the Analysis of Soil-Wheel Stresses Part I: Performance of Driven Rigid Wheels
,”
J. Terramechanics
,
4
(
1
), pp.
81
98
.10.1016/0022-4898(67)90105-X
4.
Azimi
,
A.
,
Hirschkorn
,
M.
,
Ghotbi
,
B.
,
Kövecses
,
J.
,
Angeles
,
J.
,
Radziszewski
,
P.
,
Teichmann
,
M.
,
Courchesne
,
M.
, and
Gonthier
,
Y.
,
2011
, “
Terrain Modelling in Simulation-Based Performance Evaluation of Rovers
,”
Can. Aeronaut. Space J.
,
57
(
1
), pp.
24
33
.10.5589/q11-005
5.
Azimi
,
A.
,
Holz
,
D.
,
Kövecses
,
J.
,
Angeles
,
J.
, and
Teichmann
,
M.
,
2012
, “
Efficient Dynamics Modeling for Rover Simulation on Soft Terrain
,”
AIAA
Paper No. 2012-804.10.2514/6.2012-804
6.
Schmid
,
I. C.
,
1995
, “
Interaction of Vehicle and Terrain Results From 10 Years Research at IKK
,”
J. Terramechanics
,
32
(
1
), pp.
3
26
.10.1016/0022-4898(95)00005-L
7.
Janosi
,
Z.
, and
Hanamoto
,
B.
,
1961
, “
Analytical Determination of Drawbar Pull as a Function of Slip for Tracked Vehicles in Deformable Soils
,”
First International Conference on Terrain-Vehicle Systems
,
Turin, Italy
.
8.
AESCO
,
2005
,
Matlab/Simulink Module AS2TM User's Guide
, Version 1.12, AESCO GbR, Hamburg, Germany.
9.
Bauer
,
R.
,
Leung
,
W.
, and
Barfoot
,
T.
,
2005
, “
Development of a Dynamic Simulation Tool for the Exomars Rover
,”
8th International Symposium on Artificial Intelligence, Robotics and Automation in Space, iSAIRAS
,
Munich, Germany
.
10.
Ishigami
,
G.
,
Miwa
,
A.
,
Nagatani
,
K.
, and
Yoshida
,
K.
,
2007
, “
Terramechanics-Based Model for Steering Maneuver of Planetary Exploration Rovers on Loose Soil
,”
J. Field Rob.
,
24
(
3
), pp.
233
250
.10.1002/rob.20187
11.
Ding
,
L.
,
Nagatani
,
K.
,
Sato
,
K.
,
Mora
,
A.
,
Yoshida
,
K.
,
Gao
,
H.
, and
Deng
,
Z.
,
2010
, “
Terramechanics-Based High-Fidelity Dynamics Simulation for Wheeled Mobile Robot on Deformable Rough Terrain
,”
IEEE
International Conference on Robotics and Automation
,
Anchorage, AK
, May 3–7, pp.
4922
4927
.10.1109/ROBOT.2010.5509217
12.
Ding
,
L.
,
Gao
,
H.
,
Deng
,
Z.
, and
Tao
,
J.
,
2010
, “
Wheel Slip-Sinkage and Its Prediction Model of Lunar Rover
,”
J. Cent. South Univ. Technol.
,
17
(
1
), pp.
129
135
.10.1007/s11771-010-0021-7
13.
Schafer
,
B.
,
Gibbesch
,
A.
,
Krenn
,
R.
, and
Rebele
,
B.
,
2010
, “
Planetary Rover Mobility Simulation on Soft and Uneven Terrain
,”
Veh. Syst. Dyn.: Int. J. Veh. Mech. Mobility
,
48
(
1
), pp.
149
169
.10.1080/00423110903243224
14.
Trease
,
B.
,
Arvidson
,
R.
,
Lindemann
,
R.
,
Bennett
,
K.
,
Zhou
,
F.
,
Iagnemma
,
K.
,
Senatore
,
C.
, and
Dyke
,
L. V.
,
2011
, “
Dynamic Modeling and Soil Mechanics for Path Planning of the Mars Exploration Rovers
,”
ASME
Paper No. DETC2011-47896.10.1115/DETC2011-47896
15.
Petersen
,
W.
,
2012
, “
A Volumetric Contact Model for Planetary Rover Wheel/Soil Interaction
,” Ph.D. thesis, University of Waterloo, Waterloo, ON, Canada.
16.
Azimi
,
A.
,
Kövecses
,
J.
, and
Angeles
,
J.
,
2013
, “
Wheel-Soil Interaction Model for Rover Simulation and Analysis Using Elastoplasticity Theory
,”
IEEE Trans. Rob.
,
29
(
5
), pp.
1271
1288
.10.1109/TRO.2013.2267972
17.
Azimi
,
A.
,
Kövecses
,
J.
, and
Angeles
,
J.
,
2011
, “
Wheel-Soil Interaction Model for Rover Simulation Based on Plasticity Theory
,”
IEEE/RSJ
International Conference Intelligent Robots and Systems (IROS)
,
San Francisco, CA
, Sept. 25–30, pp.
280
285
.10.1109/IROS.2011.6094524
18.
Azimi
,
A.
,
2013
, “
Wheel-Soil Interaction Modelling for Rover Simulation and Analysis
,” Ph.D. thesis, McGill University, Montréal, QC, Canada.
19.
Pfeiffer
,
F.
,
2007
, “
Deregularization of a Smooth System—Example Hydraulics
,”
Nonlinear Dyn.
,
47
(
1–3
), pp.
219
233
.10.1007/s11071-006-9069-1
20.
Wong
,
J. Y.
,
2010
,
Terramechanics and Off-Road Vehicle Engineering: Terrain Behaviour, Off-Road Vehicle Performance and Design
,
2nd ed.
,
Elsevier
, Oxford.
21.
Anitescu
,
M.
, and
Potra
,
F. A.
,
1997
, “
Formulating Dynamic Multi-Rigid-Body Contact Problems With Friction as Solvable Linear Complementarity Problems
,”
Nonlinear Dyn.
,
14
(
3
), pp.
231
247
.10.1023/A:1008292328909
22.
Schwanghart
,
H.
,
1968
, “
Lateral Forces on Steered Tyres in Loose Soil
,”
J. Terramechanics
,
5
(
1
), pp.
9
29
.10.1016/0022-4898(68)90015-3
23.
Yoshida
,
K.
, and
Ishigami
,
G.
,
2004
, “
Steering Characteristics of a Rigid Wheel for Exploration on Loose Soil
,”
IEEE/RSJ
International Conference Intelligent Robots and Systems (IROS)
,
Sendai, Japan
, Sept. 28–Oct. 2, pp.
3995
4000
.10.1109/IROS.2004.1390039
24.
Reece
,
A. R.
,
1964
, “
The Fundamental Equation of Earth-Moving Mechanics
,”
Proc. Inst. Mech. Eng.
,
179
(
6
), pp.
16
22
.10.1243/PIME_CONF_1964_179_134_02
25.
McKyes
,
E.
,
1985
,
Soil Cutting and Tillage
,
Elsevier
, Oxford.
26.
Wong
,
J. Y.
,
2008
,
Theory of Ground Vehicles
,
4th ed.
,
Wiley
,
Hoboken, NJ
.
27.
Ding
,
Y.
,
Gravish
,
N.
, and
Goldman
,
D. I.
,
2011
, “
Drag Induced Lift in Granular Media
,”
Phys. Rev. Lett.
,
106
(
2
), p.
028001
.10.1103/PhysRevLett.106.028001
28.
Stewart
,
D. E.
,
2000
, “
Rigid-Body Dynamics With Friction and Impact
,”
SIAM Rev.
,
42
(
1
), pp.
3
39
.10.1137/S0036144599360110
29.
Acary
,
V.
, and
Brogliato
,
B.
,
2008
,
Numerical Methods for Nonsmooth Dynamical Systems. Applications in Mechanics and Electronics
(Lecture Notes in Applied and Computational Mechanics, Vol. 35),
Springer
, Berlin.
30.
Visscher
,
P.
, and
Reid
,
E.
,
2012
, “
Continued Development of Juno Rover
,”
AIAA
Paper No. 2012-632.10.2514/6.2012-632
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