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The term Kinematically-Defined (also solved) is important to understand as you build mechanisms with more Parts and Joints. A simple explanation of kinematically-defined and solved is as follows.. What is Mobility, and when is it zero? Mobility of kinematic-chain is similar to degrees-of-freedom of a kinematic-chain, but not quite. Mobility = # degrees-of-freedom of a kinematic-chain – Motion-Dimension FBs that controls a degree-of-freedom. Degrees-of-Freedom is the number of independent coordinates you need to control to know the position of all of the Parts in a kinematic-chain. If you control each Degree-of-Freedom with a Motion-Dimension FB, then the Mobility of the kinematic-chain is zero. Mobility If the Mobility is zero, then the kinematic-chain, and the Parts, are kinematically-defined (solved). |
STEP 1.1: The Base-Part: It is always fixed in the Mechanism-Plane. Total Degrees-of-freedom=0, Motion-Dimension FBs=0. Therefore, Mobility = 0 . The Base-Part is ALWAYS kinematically-defined and solved. We do not need to include the Base-Part in the kinematic-analysis. STEP 1.2: Add a Part. A Part has three degrees-of-freedom. Degrees-of-freedom of Part=3, Motion-Dimension FBs=0. Therefore, Mobility = 3 . The Part is not kinematically-defined and not solved. STEP 1.3: Add a Line to the Base-Part. We do not include the Base-Part in the kinematic-analysis. STEP 1.4: Add a Pin-Joint. The joint removes two Degrees-of-Freedom. Degrees-of-freedom=1, Motion-Dimension FBs=0. Therefore, Mobility = 1. The Part is not kinematically-defined and not solved. STEP 1.5: Add a Motion-Dimension FB. Degrees-of-freedom=1, Motion-Dimension FBs=1. Therefore, Mobility = 0. The Part is kinematically-defined and it is solved. STEP 1.6 and 1.7: Rotate CW, Change the Length of a Part These steps do not change the Degrees-of-Freedom or Mobility. Summary: Mobility = 0 after Tutorial 1. The name for this Part a Motion-Part because we control its motion directly with a Motion-Dimension FB. Perfect - we can analyze its position and motion. |