Rotational Stiffness

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Stiffness

Stiffness (k) is the relationship between an applied force and the displacement the force produces. This relationship can be defined for two common cases:


In the linear case, the applied force (F) is proportional to the linear displacement (x) of one end of the "spring" with respect to the other (i.e. the amount of stretch or compression of the spring).


F = k * x


In the rotational case, the applied torque (T) is proportional to the angular displacement (theta) of one side/end with respect to the other.


T = k * theta


In both cases, the relationship can be non-linear, however a linear relationship is easier to work with.


Linear Spring


Torque/Moment


Vector Decomposition


Programmable Stiffness Joint

Static Insertion


Rotating Insertion


Spring Extension


Torque


Rotational Stiffness