Sheet 5
Cam Design
1) Draw the profile of a disk cam actuating a translating roller follower has base circle
radius rb of 40 mm and a roller radius R = 10 mm. The rise angle r = 120o. The upper
dwell angle ud = 30o. The return angle t = 120o. The lift is
Sheet (2)
Graphical Linkage Synthesis
1- Find the maximum and
minimum
transmission
angles of the four bar
driving stage (links L1, L2,
L3, L4) in the attached
figure.
2- The attached figure shows a non-Grashof fourbar
linkage that is driven from link O2A.
Sheet1
Sheet1
KinematicsFundamentals
Linkage Transformation
There are several transformation techniques or rules that we can
apply to planar kinematic
Revolute joints in any loop can be replaced by prismatic joints
with no change
g in DOF of the mechanism
Sheet (1)
Kinematics Fundamentals
1- Calculate the mobility of the linkages assigned from the figure bellow. Then identify
the items in the figure as mechanism, structure, or preloaded structure.
(a)
(c)
(b)
(d)
2- Use linkage transformation on the linkag
Topic
Establish the Kinematics Analysis (Position, Velocity and Acceleration)
for the given compound mechanism as function of the input crank angle
using below dimensions. Then, write a well code program to calculate
unknown data and plot them as a functi
*Engine Mechanism: (crank OA and input angle 2)
AOB vector loop:
R2+R3=X
R2=XA+iYA
and
then,
XA=R2*cos2
YA=R2*sin2
R3=X-R2
R3*ei3=
- XA i(X+YA)
eq. 1
(Multiply by conj.)
R32 = Xa2 + (X+YA)2
X= -YA+ [(R32-XA2)]
Real = Real from eq. 1Imag. = Imag.
XA
cos3=
*Engine Mechanism: (crank OA and input angle 2)
AOB vector loop:
R2+R3=X
R2=XA+iYA
then,
and
XA=R2*cos 2
YA=R2*sin 2
R3=X-R2
R3*ei3=
- XA i (X+YA)
eq. 1
(Multiply by conj.)
R32 = Xa2 + (X+YA)2
X= -YA+ [(R32-XA2)]
Real = Real from eq. 1
cos 3=
Imag. = Imag
Sheet (3)
Position Analysis
1- The attached figure shows the mechanisms for the problems each of which refers to
the part of the figure having the same letter. Reference all calculated angles to the
global XY axes.
a. The angle between the X and x axes is
Sheet (4)
Velocity and Acceleration Analysis (Analytical Method)
1- The linkage shown in the attached
figure has O2A = 0.8, AB = 1.93, AC =
1.33, and offset = 0.38 in. The crank
angle in the position shown is 34.3
and angle BAC = 38.6. Find 3 , vB,
vC, 3,
