Mechanism Kinematics and Dynamics
2013 Final Project
Progress Report in Nov.
Final Presentation in Jan.
1. The landing gear (1)
For the landing gear in Fig.1.35 and 1.36 on p.29 of the PPT,
(1). Plot the trajectory of ( ) by the driving link
with your selected
input.
(2). Plot the time response of all links and of ( ).
(3). Animate the mechanism motion from the stowed to deployed position.
2.
Landing gear mechanism (2)
For the MD-80 main landing gear shown below, a hydraulic actuator is to pull
the mechanism from the extended to the retracted position.
(1). Create the model in AutoCAD or similar tools.
(2). Model the mechanism in 4-bar linkages.
(3). Animate the mechanism motion.
3.
Quick return mechanism (2)
For the quick-return mechanism shown, let
= 0.7,
= 2.1,
= 0.9,
̇
̈
and the configuration is for
= ⁄6,
= −0.2 and
= 0.
(1). Plot the time response of all links.
(2). Calculate and compare the oscillation frequency of slider B, C and D, and
explain why it is quick-return mechanism.
(3). Animate the mechanism motion.
4.
Film-strip mechanism (1)
A 4-bar mechanism is used to advance a film strip in a movie projector.
(1). Plot the time response of all links by selecting a ̇ , so that point P’s
motion is 30 frame/sec.
(2). Plot the trajectory of point P.
(3). Animate the mechanism motion.
5.
The pantograph mechanism (1)
In the mechanism, point D is the drawing point and point T is the tracing point.
(1). Select the link length.
(2). Plot the trajectory of T when D is drawing a sine function.
(3). Animate the mechanism motion.
6.
The web cutter mechanism (1)
For the link
rotating at 1
.
(1). Calculate the velocity of point P and Q at the time of cutting and calculate
the web length after cut.
(2). Plot the time response of all links and the trajectory of point P and Q.
(3). Animate the mechanism motion.
7.
The dough-kneader mechanism (1)
The crank
rotates though 360ﾟ. Note that in order to model this
mechanism two revolute joints are needed at B. Let
= 6,
=
= 6,
= 15,
= 18,
= 26.
(1). Plot the trajectory of ( ) and the time response of
,
(2). Animate the mechanism motion.
8.
=
= 13,
and
Prosthetic mechanism (2)
The 6-bar linkage shown below (Left: extension position, Right: flex position)
(1). Select the dimension of the links.
(2). Animate the motion from the flex to extension position.
(3). Plot the trajectory of the point connection link 3 and 4.
.
9.
Trailing edge flap and actuating mechanism (2) (US Patent 3853289)
(1). Create the model in AutoCAD or similar tools.
(2). Model the mechanism in 4-bar and 6-bar linkages and calculate the degree
of freedom.
(3). Let 72 be the driving link. Animate the mechanism motion from the
extended to retracted position.
10. Short take-off wing mechanism (2) (US Patent 3874617)
The cruise, take-off and landing position is shown below
(1). Create the model in AutoCAD or similar tools.
(2). Model the mechanism in 4-bar and 6-bar linkages.
(3). Let
be the driving link. Animate the mechanism motion from the
extended to retracted position.
11. The spoiler in vehicles (2)
The spoiler in a race-car as shown below.
(1). Select the link length and create the model.
(2). Plot the trajectory at the tip of link 6 and the time response of all links.
(3). Animate the mechanism motion from the fully retracted to elevated
position.
(4). From mechanics view point, discuss the difference should one use link 2
and 4 as the driving link.
12. The convertible top mechanism (2)
(1). Select the link length and create the model.
(2). Determine the degree of freedom and plot the trajectory at the tip of the
convertible top.
(3). Animate the mechanism motion from the stowed to deployed position.
13. Planetary Gear and Differential in vehicles (1)
(1). Create the model.
(2). Explain the mechanism in animation.
(3). Conduct input/output analysis.
14. Universal joint (1)
(1). Create the model and explain the mechanism.
(2). Establish the mathematical model in 3-D by deriving the constraint
equations.
(3). Animate the motion by rotating 2-revolution.
15. Oil pump mechanism (1)
The oil pump mechanism by American Petroleum Institute (API) as shown. For
⁄
= 0.5
in the driving crank.
(1). Select the link lengths so that the sucker rod has a stroke of 10 meters.
(2). Determine and plot the displacement, velocity and acceleration of all
moving links.
(3). Animate the mechanism motion.
16. Oil pump mechanism (1)
An improved design is as shown. For the same crank motion, do the same as the
above.
17. Vehicle suspension (2)
Among the 3 designs as shown, the main strut is 50 cm and the tire is 40 cm in
diameter.
(1). Determine the linkage for ground input of 10 cm
sin , = 0.25
(2). Animate the motion and plot the displacement, velocity, and acceleration
of all links.
(3). Compare the design from dynamics view point.
18. Helicopter main rotor mechanism (2)
The scissor links constrain the rotating swash plate to turn with the drive shaft.
In collective control, the oscillating swash plate is driven vertically by the
actuators to change the angle of attack (AOA) of the rotor blades, for vertical
motion. While in cyclic control, the tilting of the oscillating swash plate changes
the angle of attack of every blade periodically for pitch control.
(1). Define the mechanism to model the lift and pitch motion.
(2). Animate the motion.
(3). Analyze the input and output function between the swash plate motion
and the AOA.
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22.
23.
24.
25.
26.
27.
28.
29.
Windmill yaw drive (1)
Harmonic drive in robotics (1)
Automobile Continuously Variable Transmission (CVT) (1)
Regenerative braking in electric/hybrid vehicles (1)
Internal combustion engine and Rotary engine (1)
Macpherson suspension in vehicles (1)
Double wishbone suspension in vehicles (1)
Torsion bar suspension in military tanks (1)
Thrust reversal in aircrafts (1)
Thrust vector in aircrafts (1)
Thrust vector gimballing in rockets/missiles (1)