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id216_fall2011_wk12_mechanismDesign_III - Product Design...

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Week 12: Mechanism Design III Seok-Hyung Bae ([email protected]) Product Design Engineering ID216 KAIST
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Product Design Engineering ID216 KAIST Contents Cleghorn, Mechanics of Machines, Oxford University Press, 2005 Ch 4: Analytical Kinematic Analysis of Planar Mechanisms Ch 5: Gears Ch 6: Gear trains 1
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Product Design Engineering ID216 KAIST Complex Numbers Rectangular form: : real component : imaginary component Polar form: : magnitude : argument Represented graphically by a vector in the complex plane 2 iy x R x 2 1 ) 1 ( i y ) sin (cos i r re R i r
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Product Design Engineering ID216 KAIST Trigonometric Identities 3 2 cot 2 , 1 1 cot 2 tan 2 , 1 1 tan cos 0 , 1 1 cos 2 sin 2 , 1 1 sin 2 tan 1 2 tan 1 cos ; 2 tan 1 2 tan 2 sin ; 1 cos sin cos sin cos cos ) cos( ; sin cos cos sin ) sin( 1 2 1 1 2 1 1 2 1 1 2 1 2 2 2 2 2 u ux du u u dx d u ux du u u dx d u ux du u u dx d u ux du u u dx d u u u u u u u u v u v u v u v u v u v u
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Product Design Engineering ID216 KAIST Mechanism Loop Traversing along links and through kinematic pairs, to arrive back at the starting point One-loop mechanism vs. multiple-loop mechanism 4
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Product Design Engineering ID216 KAIST Loop Closure Equation Specifies the condition that the loop must remain closed as the links of the mechanism move.
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