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The most important advantage
of this curve is that for a given
angle of rotation and rise it
produces the smallest possible
acceleration. However, because of
the sudden changes in acceleration
at the beginning, middle, and end of
the stroke, shocks are produced. If
the follower system were perfectly
rigid with no backlash or flexibility,
this would be of little significance.
But such systems are mechanically
impossible to build and a certain
amount of impact is caused at each
of these changeover points.
3. Simple Harmonic Motion: (Fig. 6)
°
−=
T
th
y
180
cos1
2
or
β
φ°
−=
180
cos1
2
h
y
(3a)
°π
⋅=
T
t
T
h
v
180
sin
2
or
β
φ°
β
πω
⋅=
180
sin
2
h
v
(3b)
°π
⋅=
T
t
T
h
a
180
cos
2
2
2
or
β
φ°
β
πω
⋅=
180
cos
2
2
h
a
(3c)
Tt <<
0
T
Acceleration
Acceleration
h
A
B
Velocity
V
Fig. 5. Cam Displacement, Velocity,
and Acceleration Curves for
Parabolic Motion
Fig. 6. Cam Displacement, Velocity, and Acceleration Curves for
Simple Harmonic Motion
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