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Analysis of Cartesian Stiffness And Compliance With ... - helix

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Definitions <strong>of</strong> <strong>Stiffness</strong> and <strong>Compliance</strong><br />

^<br />

δq : infinitesimal spatial displacement (twist).<br />

^<br />

dW: infinitesimal spatial force (wrench).<br />

stiffness<br />

^ ^ ^<br />

dW = K δq<br />

6x1 6x6 6x1<br />

compliance<br />

^ ^ ^<br />

dq = C δW<br />

6x1 6x6 6x1<br />

The 3x3 submatrices <strong>of</strong> stiffness and compliance<br />

^<br />

K =<br />

A<br />

B T<br />

B<br />

C<br />

^<br />

C =<br />

D<br />

E<br />

E T<br />

C<br />

15

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