kin_pos_anal

kin_pos_anal - Position Analysis of Four-Bar-Linkage...

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Unformatted text preview: Position Analysis of Four-Bar-Linkage Convention for angles from the horizontal counterclockwise sense about the tail of the vector With this convention writing the correct equations can be done in an automatic manner. Vector equation: r r r r = + 1 4 3 2 x-direction: ( ) cos cos cos , 1 4 4 3 3 2 2 4 3 1 = + = r r r r f (1) y-direction: ( ) sin sin sin , 4 4 3 3 2 2 4 3 2 = + = r r r f (2) Solving by Newtons method Taylor Series expansion ( ) ( ) , , 4 4 1 3 3 1 4 3 1 4 4 3 3 1 + + = + + f f f f for small 3 and 4 ( ) ( ) , , 4 4 2 3 3 2 4 3 2 4 4 3 3 2 + + = + + f f f f for small 3 and 4 So that ( ) 4 3 1 4 4 1 3 3 1 , f f f = + ( 3 ) ( ) 4 3 2 4 4 2 3 3 2 , f f f = + ( 4 ) Or in matrix form...
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This note was uploaded on 12/02/2011 for the course ME 4133 taught by Professor Ram during the Fall '06 term at LSU.

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kin_pos_anal - Position Analysis of Four-Bar-Linkage...

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