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Lecture_11_Vel_4-bar - ME 371 Chapter 6 Velocity Analysis...

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ME 371 Lecture 11 1 ME 371 ME 371 Chapter 6 Chapter 6 Velocity Analysis Velocity Analysis 4 4 - - bar linkage bar linkage
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ME 371 Lecture 11 2 Chapter 6: velocity analysis Lecture 11: Fourbar Linkage Lecture 13: Fourbar Slider Crank
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ME 371 Lecture 11 3 Chapter 6: velocity analysis Lecture 14: Fourbar Inverted Slider Crank Lecture 15: Mechanical advantage
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ME 371 Lecture 11 4 Complex numbers Definition 1 , 1 2 = = j j y j x z + = Complex number Vector OA is defined by z ( ) ( ) = = + = = = = x y y x r y x z 1 2 2 tan θ Arg(z) : is OA of direction the or z of Argument z : is OA of magnitude the or z of value Absolute z Im : part Imaginary Re : part Real
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ME 371 Lecture 11 5 Complex numbers Polar coordinate ( ) θ θ θ θ θ j e r j r z r j r y j x z = + = + = + = sin cos sin cos θ θ sin cos r y r x = = ( ) ( ) + = = = = + = = = = 2 2 2 1 0 π θ π θ θ θ π θ θ θ θ θ θ θ θ θ θ j j j j j j j j j j e r e e r e j r e r dt d e j j e j r e j r e dt d j r e r dt d ± ± ± ± ± Derivative
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ME 371 Lecture 11 6 Velocity Analysis Velocity – Rate of change of position with respect to time – May be Angular or Linear dt dR V dt d = = = = city LinearVelo ocity AngularVel θ ω
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