4-Vector Loop

# 4-Vector Loop - AME 352 VECTOR LOOP Vector Loop Vector Loop...

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AME 352 VECTOR LOOP P.E. Nikravesh 1 Vector Loop Vector Loop For kinematic analysis vectors are used to connect the joints of a mechanism to form one or more loops (also called closed chains). In most cases, a vector in a loop connects two pin joints that are on a link. If two links form a sliding joint, the defined vector is between two pin joints, one on each link. In rare cases, a vector may start or end at a reference point that may not be a pin joint. In a loop, we can move from one vector to another until we reach the point we started from. Vectors can be directed in a positive sense (tail to head) or negative sense (head to tail) when we move through a loop. For example, for a four-bar mechanism, two scenarios for directing the vectors are shown. For the left scenario a vector loop equation can be written as R AO 2 + R BA ± R BO 4 ± R O 4 O 2 = 0 For the right scenario the vector loop equation becomes R AO 2 ± R AB + R O 4 B ± R O 4 O 2 = 0 Obviously, there are many other possible scenarios.

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4-Vector Loop - AME 352 VECTOR LOOP Vector Loop Vector Loop...

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