ICs and Mechanical Advantage (MA)engineering2.union.edu/~tchakoa/mer312/Lectures/lecture... ·...
Transcript of ICs and Mechanical Advantage (MA)engineering2.union.edu/~tchakoa/mer312/Lectures/lecture... ·...
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
ICs and Mechanical Advantage (MA)
Lecture 8
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Mechanical Advantage (MA)
The Mechanism is a conservative systemInertial and friction effects are ignored for the system
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Examples
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Mechanical Advantage
Definition: Ratio of force-out over force-inForce, Velocity, and Torque are typically constant for a linkage
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Mechanical Advantage
Tin =Findin =Foutdout =Tout
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Mechanical Advantage
M.A. is a product of two factorsRatio of distances that depend n the placement of the input and output forcesAn angular velocity ratio
Can be expressed entirely in terms of direct distancesBased on the instant center development
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Mechanical Advantage
If we know the angular velocity ratio between the input and the output link, M.A. can be expressed entirely in terms of ratios of distances
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
M.A. and Instant Center
An angular velocity ratio can be expressed entirely in terms of direct distances
Based on the instant center development
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
M.A. and Instant Center
. .
in
out
in in
out out
Vrin
Vrout
in out
out in
dM Adddd rd r
ωω
= ⋅
= ⋅
= ⋅
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Drive Mechanism Example
Handle is being pulled to left with force Fin
Pressure difference across the piston in the cylinder is resisting the movement by a force equal and opposite to Fout
dout
din
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Solution
dout
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Toggle Position
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Example #2
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
MA for a Slider Crank
MA needs to be modifiedLink 4 Constrained to move in the horizontal directionFout is constrained to be in the horizontal direction
rin
din
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
MA Slider Crank
2 2 2
2 2
( ) ( )in out
out B B in
in in in out
out in
in in
Power Power
T F v where v rd F r F
F dMAF r
ω ωω ω
=
= = ⋅⋅ ⋅ = ⋅ ⋅
= =
rv r r ro o
rin
din
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Six Bar Linkage
Determine the MA of this system
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Instant Centers for 6 Bar Linkage
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Union CollegeMechanical Engineering
MER 312: Dynamics and Kinematics (of Mechanisms) / AT
Can Crusher Example