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Chapter 2. Prehension

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266 THE PHASES OF PREHENSION<br />

Table 6.5 Summary of Cutkosky 8z Howe (1990) description of pad<br />

and palm oppositions in terms of analytic measures from the field<br />

of robotics.<br />

Grasp Value of English<br />

type analytic measure Meaning<br />

Pad opposition High manipulability Fingers can impart arbitrary motions to<br />

High isotropy<br />

High compliance<br />

Connectivity 2 3 dfs<br />

Satisfies force closure<br />

Low stability<br />

Low resistance to<br />

the object<br />

Fingers can accurately apply forces and<br />

moments to object<br />

Minimize danger to fingers and object<br />

by using force control in response to<br />

perturbations<br />

At least 3 dfs exist between object and<br />

hand<br />

Assuming fingers will maintain<br />

contact with object, fingers can resist<br />

arbitrary forces and moments<br />

After disturbance, fingers will not<br />

return to initial position<br />

Fingers cannot resist external forces<br />

slipping witiout slipping<br />

Palm opposition Satisfies form closure No external arbitrary forces and<br />

moments can move object<br />

Satisfies force closure Assuming hand surfaces will maintain<br />

contact with object, fingers can resist<br />

Low compliance<br />

High stability<br />

High resistance to<br />

slipping<br />

Connectivity = 0<br />

Low manipulability<br />

arbitrary forces and moments<br />

Minimize ‘give’ in collisions with<br />

environment, using position control in<br />

response to perturbations<br />

After disturbance, fingers will return to<br />

initial position<br />

Large forces and moments are needed in<br />

order to make object slip<br />

No degrees of freedom between object<br />

and hand<br />

Fingers cannot impart arbitrary<br />

motions to object<br />

in the hand and it cannot be moved. Very large forces are needed to<br />

make the object slip, and if external forces try to move it, the posture<br />

will return to its configuration. With low compliance (high stiffness),<br />

colliding with external surfaces will have little ‘give’, thus providing a<br />

method for transmitting forces from the arm through the object (e.g.,<br />

hitting a nail with a hammer, etc).

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