Degrees of Freedom and Mobility

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5 Terms

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Degrees of Freedom (DOF)

These are the parameters needed to uniquely define a systems configuration

Has 6 Degrees, rotation and translation around X,Y and Z

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Sliders and Hinges

Complex systems can be broken down into combinations of sliders and hinges to help us analyze their motion (use kinematic diagrams)

Sliders 1 DOF

Hinge 1 DOF

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Mobility

This is a numerical measure of how contrained or unconstrained a system is.

It is realted to the DOF

DOF = mobility when it is an open loop linkage (connected in series)

DOF does not = mobility for close loop linkages, connected in parallel

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Mobility Calculation

Calculated through Grueblers Equation (only for 2D mechanisms not 3D)

<p>Calculated through Grueblers Equation (only for 2D mechanisms not 3D)</p>
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Mobility categories

Mobility is > or = 1 gives a linkage (can move)

Mobility = 0 gives a structure

Mobility < 0 statistically indeterminate (cannot move or overconstrained

<p>Mobility is &gt; or = 1 gives a linkage (can move)</p><p>Mobility = 0 gives a structure</p><p>Mobility &lt; 0 statistically indeterminate (cannot move or overconstrained</p>