Effects of grousers on soil • Heuristics for grouser ...

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Grousers ENAE 788X - Planetary Surface Robotics U N I V E R S I T Y O F MARYLAND Grousers Effects of grousers on soil Heuristics for grouser number and size Tractive force with grousers (LRV example) 1 © 2018 David L. Akin - All rights reserved http://spacecraft.ssl.umd.edu

Transcript of Effects of grousers on soil • Heuristics for grouser ...

Page 1: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Grousers• Effects of grousers on soil • Heuristics for grouser number and size • Tractive force with grousers (LRV example)

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© 2018 David L. Akin - All rights reserved http://spacecraft.ssl.umd.edu

Page 2: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Terramechanics Test Rig (CMU)

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Page 3: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Terramechanics Test Rig (CMU)

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Page 4: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Soil Flow Visualization

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Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Periodic Soil Shearing by Grousers

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Page 6: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Soil Flow with 16 Grousers

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Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Soil Flow with 48 Grousers

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Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Soil Excavation by Grousers

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rg

rw

rg > rw

Page 9: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Wheel Parameters

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h

r

z

v

!

�x

Page 10: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Minimum Grouser Condition

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t

rim contact

=�x

v

tgrouser contact

=

!

tgrouser contact

trim contact

!

v

�x

s = 1� v

!r=) v = !r(1� s)

1

r(1� s)�x

h

r

z

v

!

�x

Page 11: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Grouser-Soil Contact Geometry

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Page 12: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Geometric Derivation of Grouser Spacing

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AC =p

(r + h)2 � (r � z)2 AB =p

r2 � (r � z)2

BC = AC �AB = �x

1

(1� s)

2

4s✓

1 +h

r

◆2

�⇣1� z

r

⌘2�r

1�⇣1� z

r

⌘2

3

5

1

r(1� s)

q(1 + h)2 � (1� z)2 �

q1� (1� z)2

1

(1� s)

qh2 + 2h+ 2z � z2 �

p2z � z2

Page 13: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Required Grouser Spacing

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0"

10"

20"

30"

40"

50"

60"

70"

0" 2" 4" 6" 8" 10" 12"

Angle&be

tween&grou

sers&(d

eg)&

Grouser&Height&(cm)&

0.0" 0.1" 0.2" 0.3" 0.4" 0.5"Slipra(o

NumberofGrousers

24

12

8

16

Page 14: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Number of Grousers in Ground Contact

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r = 40.6 cmz = 1.812 cm

Number of grousers = N

Angle between grousers ⌘ =

2⇡

N

LRV example: choose N = 16

Number of grousers in ground contact ⌘ Ng =

2⇡r

N`

Ng = 1.3 ⇡ 1

Distance between grousers ⌘ `g = r =

2⇡r

N

Page 15: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Tractive Force H with Grousers

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0"

50"

100"

150"

200"

250"

300"

350"

400"

0" 2" 4" 6" 8" 10" 12"

Trac%v

e(Force(H((N)(

Grouser(Height((cm)(

0" 0.1" 0.2" 0.4"Slipra(o

Page 16: Effects of grousers on soil • Heuristics for grouser ...

Grousers ENAE 788X - Planetary Surface Robotics

U N I V E R S I T Y O FMARYLAND

Grouser Design Reference

Krzysztof Skonieczny, Scott J. Moreland, and David S. Wettergreen, “A Grouser Spacing Equation for Determining Appropriate Geometry of Planetary Rover Wheels” 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems, October 7-12, 2012, Vilamoura, Algarve, Portugal

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