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한국형 인공월면토를 이용한 달탐사 로버 휠 성능평가 실험 연구 97
한국지반공학회논문집 제32권 11호 2016년 11월 pp. 97 ~ 108
JOURNAL OF THE KOREAN GEOTECHNICAL SOCIETYVol.32, No.11, November 2016 pp. 97 ~ 108
ISSN 1229-2427 (Print)
ISSN 2288-646X (Online)
https://doi.org/10.7843/kgs.2016.32.11.97
한국형 인공월면토를 이용한 달탐사 로버 휠 성능평가 실험 연구
Experimental Study of Lunar Rover Wheel’s Motion Performance
on Korean Lunar Soil Simulant
왕 성 찬1
Wang, Cheng-Can
한 진 태2
Han, Jin-Tae
Abstract
Lunar rover plays an important role in lunar exploration. Especially, performance of rover wheel related to interaction
with lunar soil is of great importance when it comes to optimization of rover’s configuration. In this study, in order
to investigate the motion performance of lunar rover’s wheel on Korean Lunar Soil Simulant (KLS-1), a single wheel
testbed was developed and used to carry out a series of experiments with two kinds of wheel with grousers and
without grousers which were used to perform the experiments. Wheel traction performance was evaluated by using
traction parameters such as drawbar pull, torque and sinkage correlated with slip ratio. The results showed that the
single wheel testbed was suitable for evaluation of the performance of wheel and rover wheel with grousers which
was likely to have higher traction performance than that without grousers in Korean Lunar soil simulant. The
experimental results could be utilized in verification of the optimum wheel design and effectiveness of wheel traction
for Korean lunar rover.
요 지
달 탐사시 탐사 로버는 반드시 필요하며, 특히 월면토와 로버 휠의 상호작용에 의한 로버 휠의 성능은 로버의 최적
형상을 결정하는데 있어서 매우 중요하다. 본 연구에서는 한국형 인공 월면토(KLS-1)에서 달 탐사 로버 휠의 거동
성능을 평가하기 위하여 단일 휠 성능평가 실험장비를 개발하였고, 이를 이용하여 그라우져 유무에 따른 휠 성능
평가 실험을 수행하였다. 휠 성능은 슬립율에 따른 견인력, 토크, 침하 등으로 평가하였으며, 실험 결과 개발된 단일
휠 성능평가 실험장비는 휠 성능을 적절히 평가하는 것으로 나타났으며, 한국형 인공 월면토에서 그라우져가 있는
휠이 그라우져가 없는 휠에 비해 높은 견인 성능을 보여주었다. 향후 본 실험은 한국형 로버의 최적 휠 결정을 위해
사용될 수 있을 것으로 판단된다.
Keywords : Lunar rover, Single wheel testbed, Drawbar pull, KLS-1, Grouser
1 정회원, Member, Graduate Student, Dept. of Geo-Space, Univ. of Science & Technology
2 정회원, Member, Senior Researcher, Dept. of Geotechnical Eng., Korea Institute of Civil Eng. and Building Tech., Tel: +82-31-910-0259, Fax: +82-31-910-0563,
[email protected], Corresponding author, 교신저자
* 본 논문에 대한 토의를 원하는 회원은 2017년 5월 31일까지 그 내용을 학회로 보내주시기 바랍니다. 저자의 검토 내용과 함께 논문집에 게재하여 드립니다.
Copyright © 2016 by the Korean Geotechnical Society
This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
98 한국지반공학회논문집 제32권 제11호
1. Introduction
Since 1959, the Soviet Union and United States have
started lunar exploration program, followed by various
kinds of lunar exploration activities from other developed
countries. Recently, there have been research programs
on rovers for lunar exploration in South Korea. In order
to accomplish difficult missions on the moon, there is a
continuous need for developing an unmanned exploration
rover with high performance which can adapt to the complex
environment on the moon and pass the soft soil and
negotiate obstacles successfully. In the stage of lunar
rover’s development, rover’s locomotion performance on
the deformable terrain should be investigated in order to
plan the moving path. In order to improve negotiation
and mobility performance, optimizing rover wheel’s design
is very important. Therefore, investigating mechanical
characteristic of wheel-soil interaction has a critical signi-
ficance for optimization of wheel design and development
of lunar rover with high mobility performance (Ding et
al., 2011a).
A variety of approaches to investigate wheel-soil interac-
tion performance have been developed and used. One of
the empirical methods was developed by US Army Water-
ways Experiment Station (WES). This method can evaluate
vehicle traction performance with respect to ground cha-
racteristics by cone index. However, this empirical method
has limitation in predicting certain performance parameter
of tyres accurately (Gee-Clough, 1978). Recently, numerical
simulation methods which use computer technology (i.e.,
FEM, DEM) to simulate the model for the traction of
a rover wheel on deformable terrain are widely applied
to this research field (Liu et al., 1996; Nakashima et al.,
2010). It also has limitations in simulating large, dis-
continuous terrain deformation. To tackle these problems
mentioned above, semi-empirical approaches using wheel-
terrain theoretical model and physical properties of soil
for evaluating vehicle performance on terrain have been
developed. A pioneering work in terramechanics was
conducted by Bekker, which came up with the relation
between rolling resistance and vertical stress for rigid
wheel rolling on the soft soils using Bekker pressure-
sinkage equation (Bekker, 1956). Bekker and Wong’s
model determined the wheel performance metrics such
as torque, drawbar pull, motion resistance, slope angle
and so on (Wong, 2010). When the drawbar pull comes
up, the shearing action of wheel on the soil causes it to
slip. Since the drawbar pull and resistance is a function
of slip, the relationships between the drawbar pull and
slip of a vehicle wheel are used to evaluate the mobility
performance of vehicle. Recently, in planetary researches,
due to small dimension of rover wheels and cost of
experiments, single wheel testing is thought to be a simple
and efficient way to investigate rover-wheel traction per-
formance under various situations with different terrain
types. Until now, many research works have been done
on the study of locomotion performance of small rigid
wheel on terrestrial soil such as sand.
In this study, a single-wheel testbed was developed
and used to experimentally evaluate traction performance
of rigid wheel on deformable soil in terms of drawbar pull,
torque and slip-sinkage versus slip ratio under different
wheel configuration and vertical load. As planetary rover
can get stuck into loose soil, wheel with grousers has been
studied because it has significant influence on wheel’s
performance (Liu et al., 2008; Sutoh et al., 2012). As
introduced in previous studies to implement and satisfy
the task of Korean lunar exploration, two kinds of wheels,
one with grousers and the other without grousers were
applied to investigate and compare rover wheel’s motion
performance. In addition, rover’s mobility highly depends
on mechanical properties of terrain. Due to the limitation
of use of water and organic material in the moon, properties
of lunar regolith are clearly distinguished from terrestrial
soil (Heiken et al., 1991). Due to the limited quantity
of available lunar soils, it is very difficult to carry out
experiments on the real lunar soils. Therefore, to satisfy
and accomplish the reliable analysis of wheel mobility
performance, Korean lunar soil simulant (KLS-1) having
similar physical and geotechnical properties of real lunar
soil was developed by Ryu et al. (2015) and utilized to
simulate lunar terrain in this study.
Though some previous studies aimed at similar experi-
mental investigation, this study is distinguished from them
한국형 인공월면토를 이용한 달탐사 로버 휠 성능평가 실험 연구 99
Fig. 1. Force distribution of moving rigid wheel on soft soil
in terms of utilization of Korean rover wheel and Korean
lunar soil simulant. Thus, we believe this study could
contribute to the demonstration of the mobility of Korean
Lunar Rover in lunar environment condition for Korean
Lunar Exploration Project.
2. Wheel-soil Interaction Mechanics
The analysis of mechanical characteristics between
lunar rover wheel and soil interaction is the basis of
analyzing the lunar rover’s mobility performance. The
analysis of mechanical characteristics wheel-soil interaction
is related to the terrain characteristics and mechanical
model of wheel-soil interaction.
2.1 Terrain Characteristics under Stress Condition
The semi-empirical approach proposed by Bekker (1960)
is used to decompose the deformation of soil vertically and
horizontally, corresponding to normal pressure characterization
and shearing characterization, respectively.
A vehicle applies normal load to the terrain, which
results in sinkage. This causes motion resistance (Wong,
2010). Soil is considered as deformable material. To predict
the normal pressure distribution on vehicle-terrain interface,
the pressure-sinkage relationship for deformable terrain
can be defined using Bekker’s equation (Bekker, 1960)
as follows:
(1)
Where p is the normal pressure added on the wheel,
b is the smaller dimension of a contact rectangular plate;
n, kc, and are pressure-sinkage parameters for the
Bekker equation, z is sinkage, b is width of contacting
plate.
A vehicle applies shear load to the terrain surface
through its running gear, which results in the development
of thrust and associated slip (Wong, 2010). To predict
the tractive performance of vehicle, it is essential to
understand the shear stress-shear displacement relationship.
As the lunar soil is plastic soil, its characterization of
the shearing behavior can be evaluated based on Janosi’s
shearing model (Janosi, 1961). According to this model,
the relationship between shear stress of soil and shearing
displacement is shown as follows:
max
(2)
max
tan (3)
Where c is the apparent cohesion of soil, max
is the
maximum shear strength of soil, is the internal friction
angle of soil, k is shear deformation modulus, and j is
shearing deformation.
2.2 Rigid Wheel-deformable Terrain Interaction Model
Performance of an off-road vehicle refers to its ability
to overcome motion resistance, to develop drawbar pull,
to negotiate grade, and to accelerate straight-line motion
(Wong, 2010). Fig. 1 shows a picture of interaction force
distribution of rigid wheel moving on soft soil. In Fig.
1, r is wheel radius, is the total sinkage of wheel,
is the slip sinkage, is the wheel-soil interaction angle,
is the entrance angle, is the exit angle, is the
maximum stress angle, is the wheel angular velocity,
v is wheel travelling velocity, W is normal load, T is
traction torque, DP is drawbar pull, and are normal
stress and shear stress on wheel-soil contact surface,
respectively.
The drawbar pull plays an important role in the
evaluation of vehicles’ traction performance. Drawbar pull
is developed from soil thrust beneath a moving wheel.
100 한국지반공학회논문집 제32권 제11호
(a) Single wheel testbed in MIT (Iagnemma, 2005)
(b) Single wheel testbed in CMU (Apostolopoulos, 2001)
(c) Single wheel testbed in HIT (Ding et al., 2011b)
Fig. 2. Existing single wheel testbed
Drawbar pull is the net force used to measure tractive
ability of vehicles. Drawbar pull (DP) indicates the difference
between the thrust F and the sum of all resisting forces
R on the vehicles. Wong’s model denotes DP as follows
(Wong, 1967):
cos
sin (4)
Where b is the width of wheel.
When a wheel moves on soft soil, shearing action takes
place on the wheel and terrain interface, which was
illustrated in the last section. Consequently, there is a
relative movement (or shear displacement) between wheel
and terrain in horizontal direction, which results in slip.
According to Wong (2010), slip generally happens when
the lunar rover is moving on the deformable regolith,
consequently leading to different wheel velocity from rover
travelling velocity. Therefore, slip ratio is a way of
expressing the slipping behavior of the wheel. It should
be considered to determine the vehicle acceleration. The
definition of slip ratio and relationship between shear
displacement and slip ratio are expressed by:
(5)
sinsin (6)
Where v is the actual moving speed of the vehicle,
ωr is the wheel’s velocity which is equal to the product
of angular speed ω and radius of wheel r.
As drawbar pull is a function of shear strength in
equation (4), shear strength is related to shear displacement
in equation (2),shear displacement is related to slip ratio
in equation (6), drawbar pull is also a function of slip
ratio.
3. Single Wheel-soil Interaction Testbed
Until now, there are various kinds of testbed developed
for researches on the motion of a robotic wheel with small
dimensions. Fig. 2 (a) shows a single-wheel testbed which
was first developed for planetary rovers in Massachusetts
Institute of Technology (MIT) (Iagnemma, 2005). This
testbed was used to conduct the experiments of “Rocky”
wheel traction performance. It is used to measure drawbar
pull, driving torque, wheel velocity and carriage velocity,
and also analyze the force of wheel-soil interaction under
한국형 인공월면토를 이용한 달탐사 로버 휠 성능평가 실험 연구 101
Fig. 3. Single wheel testbed developed by KICT
Table 1. Specification of single wheel testbed
Wheel diameter 150-250 mm
Wheel width 50-120 mm
Speed of carriage motor 190-1900 mm/min
Speed of driving motor 1-10 rpm
Vertical load 0-22.5 kg
Moving distance 0-600 mm
Maximum horizontal force 100 kg Fig. 4. Comparison of particle size distribution (Ryu et al., 2015)Fig. 4. Comparison of particle size distribution (Ryu et al., 2015)
different slip ratio by means of controlling wheel velocity
and carriage velocity. A single wheel testbed shown in Fig.
2 (b) developed by Robotics Institute in Carnegie Mellon
University is used to perform characterization of “Nomad”
locomotion with measuring driving power, endurance
and behavior of the wheel’s drive unit (Apostolopoulos,
2001). Fig. 2 (c) shows a testbed developed in Chinese
State Key Laboratory of Robotics and System in Harbin
Institute of Technology (HIT) is also used to measure
parameters such as drawbar pull, sinkage, slip ratio and
driving torque values (Ding et al., 2011b).
In this research, the single wheel-soil interaction testbed
shown in Fig. 3 was developed to measure the wheel
drawbar forces, torques and sinkage. This testbed dis-
tinguished from other apparatus as the soil box below
can be separated from the upper part which is favorable
for the experiment in the freezing chamber in KICT.
However, experimental results under freezing condition
were not included in this paper. The size of soil box of
the testbed is 2000 mm × 600 mm × 500 mm. It was
designed to conduct experiments on a wheel with a
diameter ranging from 150 mm to 250 mm and width
ranging from 50 mm to 120 mm. The testbed consists of
a driving motor, a carriage motor, LVDT, a counterweight
system, and a torque sensor. The driving motor and the
carriage motor are used to make the wheel and vehicle
body move independently. The slip ratio can vary by
controlling the linear velocity of the wheel carriage in
the horizontal direction and angular velocity of the wheel.
LVDT is used for measuring wheel singkage on the soil.
The load added on the wheel can be controlled by a
counterweight system attached upon the wheel carriage.
The detailed information of the testbed is shown in Table 1.
4. Lunar Soil Simulant and Experimental Setup
4.1 Korean Lunar Soil Simulants (KLS-1)
In order to validate reliable mobility of rover wheel’s
mobility performance, the experiments were carried out
on the Korean lunar soil simulant (KLS-1). Korean Lunar
soil Simulant was developed by KICT in 2014 to offer
simulant lunar terrain for lunar rover’s motion performance
tests. KLS-1 was made from basalt in Yeoncheon through
crushing, screening, grinding, sieving and recomposition
(Ryu et al., 2015). A group of laboratory tests were carried
out to measure the geotechnical properties of KLS-1.
Particle size distribution is considered as one of the most
fundamental parameters to evaluate the geotechnical cha-
racteristic. The test results showed that the particle size
distribution of KLS-1 matched with real lunar soil and
other lunar soil simulant such as JSC-1 and FJS-1 as
shown in Fig. 4. Other geotechnical properties from direct
shear test, relative density test and specific gravity test
102 한국지반공학회논문집 제32권 제11호
Table 2. Geotechnical properties of KLS-1
GS C (kPa) Φ (°) γd D50 (mm) Cu
2.94 1.716 40.6 1.46~1.80 0.03 12.50
Fig. 5. Wheel developed in KATECH
(a) Wheel without grousers (b) Wheel with 16 grousers
Fig. 6. Test wheels
Table 3. Experimental conditions and cases
Terrain Wheel design Relative density (%) Moving velocity (mm/s) Vertical load (kg) Slip ratio
Rigid plate Without grousers -
10 6
0.1, 0.2,
0.3, 0.4
0.5
KLS-1 Without grousers 60
KLS-1 With grousers 60
shown in Table 2 were also similar to those of other
lunar soil simulants such as JSC-1 and FJS-1. In addition,
since the relative density of lunar soil is 65 ± 3% in
depth of 0-15cm from lunar surface, in keeping with the
lunar regolith condition of surface layer, the relative density
of soil was prepared as 60% in experiments (Mitchell
et al., 1974).
4.2 Wheel Designs
A wheel shown in Fig. 5 was designed in Korea
Automotive Technology Institute (KATECH) for Korean
lunar rover. Regardless of influence of wheel’s weight,
size of wheel with diameter of 170 mm and width of
80 mm was adopted in this study. To compare effect of
grousers on wheel’s traction performance, two kinds of
cylinder aluminum wheels with 16 grousers (height of
10 mm, spacing of 36° and thickness of 3 mm) and
without grousers were applied based on comparison with
past experimental results. Pictures of wheels are shown
in Fig. 6.
4.3 External Conditions
Due to the limitation of mobility of a lunar rover and
energy supply, the rover is not available to move at a
high speed. The maximum moving velocity of rover
developed in KIST. In this experiment, to ensure stability
of wheel’s motion performance on the testbed, a lower
velocity of wheel was set to be 10 mm/s. As mass of
Korean four-wheel rover is 20 kg, which means that the
한국형 인공월면토를 이용한 달탐사 로버 휠 성능평가 실험 연구 103
Fig. 7. Procedure diagram of experiments
Fig. 8. Example of drawbar pull, torque and sinkage time histories
(Vertical load 6 kg, wheel with grouser, slip ratio 0.2)
average vertical load on each wheel is 5 kg, vertical
loads added to the wheel were controlled to be 6 kg
through counterweight in this experiment. The experimental
cases are shown in Table 3 below.
4.4 Experimental Procedure
In order to avoid sinkage in the locomotion, the slip
ratio of exploring rovers should be well controlled, for
instance, the maximum slip ratio of Mars rovers of USA
is controlled to be less than 0.4 (Ding, 2010). In this
study, to compare performance of rover wheel traction,
the slip ratio was set to be from 0 to 50% and slip ratio
was controlled by varying motion velocity of carriage
motor. In order to ensure the repeatability and reliability
and to reduce measurement error of the experiments, all
the experiments were carried out three times under the
same condition. The mean values were utilized to derive
the correlation between drawbar pull, torque, sinkage and
slip ratio, respectively.
Fig. 7 shows the procedure of experiments. Before
performing experiments, all sensors were calibrated and
the test wheel size and the rover moving velocity and wheel
angular velocity were considered as input parameters.
Soil conditions were cautiously managed to be kept constant.
During experiments, the value of drawbar, torque and sinkage
were recorded from a computer program.
5. Results and Analysis
All the tests for the drawbar pull, torque and slip-
sinkage were measured under slip of 0-0.5. Since the
104 한국지반공학회논문집 제32권 제11호
Fig. 9. Experiments on the rigid plate
Fig. 10. Drawbar pull, Torque and Sinkage vs. Slip ratio on rigid plate Fig. 11. Drawbar pull, Torque vs. Slip ratio (Ding et al., 2011b)
measured data of drawbar pull and torque have large
fluctuation, the data of drawbar pull and torque were
processed by using adjacent averaging smooth at point
of window of 300. As data of sinkage did not fluctuated
greatly, data of sinkage were not processed. The results
are shown in Fig. 8. Each test was conducted around
40s. In the beginning stage, it takes about 10s for wheel
interacting with soil to reach a steady data. Therefore,
the data of drawbar pull, torque and sinkage from 10s
to 40s at steady-state response were utilized to calculate
the mean value and standard deviation in each case. The
obtained data were adopted to plot the curve of drawbar
pull, torque and sinkage as a function of slip ratio.
5.1 Performance of Wheel on Rigid Plate
Before carrying out experiments on KLS-1, the pre-
liminary tests were conducted on the rigid plate shown
in Fig. 9. Drawbar pull, torque and sinkage were measured
at vertical loads of 6 kg for the verification of single
wheel testbed developed by KICT. Fig. 10 presents the
results of drawbar pull, torque and sinkage value versus
various slip ratio of a wheel without grouser, respectively.
Because the experiments were conducted on the rigid plate,
sinkge is nearly zero as shown in Fig. 10 (a). The graphs
of Figs. 10 (b), (c) illustrate that torque and drawbar pull
increase sharply with increasing slip ratio at between
0-0.2, and the maximum value of drawbar pull and
torque are generated at slip ratio of about 0.2 and then
gradually becomes converged similar to other research
한국형 인공월면토를 이용한 달탐사 로버 휠 성능평가 실험 연구 105
(a) With grouser (b) Without grouser
Fig. 12. Tracks of wheel
as shown in Fig. 11 (Ding et al., 2011). Therefore, this
equipment was considered to be verified in terms of the
performance evaluation for the single wheel.
5.2 Performance of Wheel Mobility on KLS-1
As wheel design is a key factor evaluated in this study,
a series of experiments with 2 kinds of wheels (with
grousers and without grousers) were performed on the
KLS-1. While a wheel moves on the deformable terrain,
tracks are generated.
Fig. 12 shows the picture of tracks for wheel with and
without grousers under the slip ratio of 0.1, 0.2, 0.4 and
0.5, respectively. It can be seen that as the increase of
slip ratio from 0.1 to 0.5, interval of tracks decreases
and soil becomes denser. At slip ratio of 0.5, soil is
disturbed heavily. Furthermore, interval of tracks at each
slip ratio in Fig. 12 (a) is smaller than wheel without
grousers shown in Fig. 12 (b) because grousers has effect
on enhancing soil’s compactness. Whereas, at high slip
ratio of 0.5, grousers digging into soil results in increasing
soil’s disturbance when wheel entering into soil and leaving
from the soil. According to tracks of wheel, Figs. 13 (a),
(b) show the smoothing data of drawbar pull for wheel
with grousers and without grousers under slip ratio of
0.1, 0.2, 0.4 and 0.5, respectively. Drawbar pull is
developed by shear stress applied on the soil depending
on soil’s density and strength. Value of drawbar pull
increases depends on increment of slip ratios from 0.1
to 0.4, and most important factor is larger drawbar pull
developed under denser soil while a wheel is spinning on
the soil. On the contrary, drawbar pull decreases at slip
ratio of 0.5, and the large slip causes the grousers digging
the soil and stuck in the soil. As a result, distrurbance
of soil reducing shearing on the interface of wheel and
soil greatly leads to the decrement of drawbar pull.
Fig. 14 shows the relation of drawbar pull, torque and
slip-sinkage as a function of slip ratio for a wheel without
grouser and with grouser of 10 mm height, 36° spacing
and 3 mm thickness at vertical load of 6 kg. It can be
observed in Fig. 14 (a) that sinkage of wheel increases
with increasing slip ratio because the relative density of
soil is low compared to the rigid plate. If the slip ratio
is less than 0.2, the trend of two types of wheels is similar,
however, at slip ratio of 0.5, value of sinkage for wheel
with grousers is 1.68 times higher than smooth wheel
106 한국지반공학회논문집 제32권 제11호
(a) With grousers (grouser height 10 mm)
(b) Without grousers
Fig. 13. Drawbar pull time histories with slip ratio
(a) Sinkage vs. Slip ratio
(b) Torque vs. Slip ratio
(c) Drawbar pull vs. Slip ratio
Fig. 14. Drawbar pull, Torque and Sinkage vs. Slip ratio on KLS-1
It can be seen that grousers have not obvious effect on
sinkage at low slip ratio. Whereas, if the slip ratio is
greater than 0.2, sinkage increases exponentially for the
wheel with grousers. Under slip ratio of 0.5, wheel with
grousers increased by 2.2 times from slip ratio 0.2, whereas
wheel with grouser increased by 1.7 times. It can be
explained that at less slip ratio, grouser has not obvious
influence on slip sinkage, but the grouser’s effect of digging
in the soil plays an important role of increasing motion
resistance and sinkage. Figs. 14 (b), (c) that torque and
drawbar pull increased rapidly with the increase of slip
ratio from 0-0.1 at the initial phase and then after reaching
a maximum value, torque gradually becomes converged.
However, drawbar pull decreases with the increase of slip
ratio from 0.4-0.5. At slip ratio from 0.4-0.5, decrement of
shear stress caused by soil’s heavy disturbance leads to
reducing drawbar pull. In addition, as the effect of grousers
on digging into soil, the drawbar pull’s decrement of wheel
with grousers is 3 times greater than wheel without grousers.
The results also indicate that the value of drawbar
pull, torque and sinkage are higher in the case of wheel
with grouser than without wheel. The peak value of
한국형 인공월면토를 이용한 달탐사 로버 휠 성능평가 실험 연구 107
torque on wheel with grousers is only 1.5 times more
than smooth wheels. However, the peak value of drawbar
pull is 4.7 times higher than wheel without grousers. It can
be explained that grousers of wheel have an influence
on traction performance of a wheel. Thrust of a wheel
is obtained from shear stress developed by the interaction
of wheel and soil. A wheel with grousers is able to
generate larger thrust by increasing the shear stress while
interacting on the soil to move the rover forward. The
results could be utilized in the evaluation of drawbar
efficiency for a rover.
6. Conclusion
In this study, a single wheel testbed was developed
and used to evaluate the traction performance of two
lunar rover wheels (with grousers and without grousers)
on Korean lunar soil simulants (KLS-1) whose geotechnical
and physical properties were experimentally validated to be
similar to real lunar soil and other lunar soil simulants. The
traction performance parameters such as drawbar pull,
torque and sinkage were measured by the single wheel
testbed in order to evaluate the performance of the wheel
under the normal load of 6 kg at the speed of 10 mm/s.
The tests performed on rigid plate were to evaluate
the calibration of equipment and to compare with the
experimental results on KLS-1. Torque and drawbar pull
increased with slip ratio at from 0-0.2 and then were
stabilized like the results in literature. In the case of the
tests on KLS-1, wheel with grousers obtained much higher
performance than smooth wheel at a small slip ratio. It
can be seen that wheel configuration and terrain conditions
significantly influence the motion performance of the wheel.
The results may be useful in optimizing wheel design
and verifying preferable slip ratio for Korean planetary
rover’s mobility performance. To analyze the optimum
wheel configuration and evaluate the reliability of rover’s
locomotion performance better, more experiments in terms
of changing wheel grouser shape, wheel size, soil conditions
and temperature conditions should be implemented in the
future works.
Acknowledgements
This research was supported by a grant from “Geo-
technical Engineering Preparations for Lunar Exploration-
Soil Mechanics with Lunar Soil and Laboratory Demon-
stration of Lunar Environments” which is funded by the
Korea Institute of Civil Engineering and Building
Technology (KICT).
References
1. Apostolopoulos, D. (2001), “Analytical Configuration of Wheeled
Robotic Locomotion”, Robotics Institute Carnegie Mellon University,
CMU-RI-TR-01-08, pp.1-3.
2. Bekker, M. (1956), Theory of land locomotion, University of
Michigan Press.
3. Bekker, M. (1960), Off-the-road locomotion: research and develop-
ment in terramechanics, University of Michigan Press.
4. 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., Vol.17, pp.129-135.
5. Ding, L., Deng, Z., Gao, H., Nagatani, K., and Yoshida, K. (2011a),
“Planetary Rovers’s Wheel-soil Interaction Mechanics: New Challenges
and Applications for Wheeled Mobile Robots”, Intel Serv Robotics,
Vol.4, pp.17-38.
6. Ding, L., Gao, H., Deng, Z., Nagatani, K., and Yoshida, K. (2011b),
“Experimental Study and Analysis on Driving Wheels’ Perfor-
mance for Planetary Exploration Rovers Moving in Deformable
Soil”, Journal of Terrachanics, Vol.48, pp.27-45.
7. Gee-Clough, D. (1978), “A Comparison of the Mobility Number
and Bekker Approaches to Traction Mechanics and Recent Advances
in Both Methods at N.I.A.E”, Proceedings of the 6th International
Conference of the International Society for Terrain-Vehicel Systems,
Vol.2, pp.735-755.
8. Heiken, H., Vaniman, D., and French, B. (1991), Lunar source
book: a user’s guide to the moon. CUP Archive.
9. Iagnemma, K. (2005), “A Laboratory Single Wheel Testbed for
Studying Planetary Rover Wheel-terrain Interaction”, Technical
Reort of MIT Field and Space Robotics Laboratory 01-05-05.
10. Janosi, Z. and Hanamoto, B. (1961), Analytical Determination of
Drawbar Pull as a Function of Slip for Tracked Vehicle in
Deformable Soils. Proc. 1st Int. Conf. of ISTVS, Torino, pp.
707-736.
11. KICT (2015), “Geotechnical Engineering Preparations for Lunar
Exploration-Soil Mechanics with Lunar Soil and Laboratory
Demonstration of Lunar Enviroments (II).
12. Liu, C.H. and Wang, J.Y. (1996), “Numerical Simulations of Tire-
soil Interaction based on Critical State Soil Mechanics”, Journal
of Terramechanics, Vol.33, No.5, pp.209-221.
13. Liu, J., Gao, H., and Deng, Z. (2008), “Effect of Straight Grousers
Parameters on Motion Performance of Small Rigid Wheel on
Loose Sand”, Information Technology Journal, Vol.7, No.8, pp.
1125-1132.
108 한국지반공학회논문집 제32권 제11호
14. Mitchell, J. K., Houston, W. N., Carrier, W. D., III, and Costes,
N. C. (1974), “Apollo Soil Mechanics Experiment S-200”, Final
Rep., NASA Contract NAS 9-11266, Space Sciences Laboratory
Series 15, Issue 7, Univ. of California, Berkeley, Calif.
15. Nakashima, H., Fujii, H., Oida, A., Momozu, M., Kanamori, H.,
Aoki, S., Yokoyama, T., Shimizu, H, Miyasaka, J., and Ohdoi, K.
(2010), “Discrete Element Method Analysis of Single Wheel
Performance for a Small Lunar Rover on Sloped Terrain”, Journal
of Terrainmechanics, Vol.47, pp.307-321.
16. Ryu, B., Baek, Y., Kim, Y., and Chang, L. (2015), “Basic Study
for a Korean Lunar Simulant (KLS-1) Development”, Journal of
The Korean Geotechnical Society, Vol.31, No.7, pp.53-63.
17. Sutoh, M., Nagatani, K., and Yoshida, K. (2012), “Analysis of the
Traveling Performance of Planetary Rovers with Wheels Equipped
with Lugs Over Loose Soil”, Department of Aerospace Engineering,
Graduate School of Engineering, Tohoku University, Aoba, pp.
6-6.
18. Wong, J. and Reece, A. (1967), “Prediction of Rigid Wheel
Performance based on the Analysis of Soil-weheel Stresses”,
Journal of Terramechanics, Vol.4, No.2, pp.7-25.
19. Wong, J. (2010), Terramechanics and off-road vehicle engineering,
Butterworth-heinemann.
Received : October 17th, 2016
Revised : November 15th, 2016
Accepted : November 16th, 2016