The 10th International Conference on Ubiquitous Robots and Ambient Intelligence (URAI 2013)
Oct. 30 -- Nov. 2, 2013 at Ramada Plaza, Jeju, Korea
Design of a 5
th
-polynomial high speed cam-based intermittent
four-bar linkage mechanism
Jing Wu
1
, Rui-Jun Yan
1
, Kyoosik Shin
2
1
Department of Mechatronics Engineering, Hanyang University, Ansan, 426-791, Korea
(E-mail: wujing@hanyang.ac.kr ; yrj@hanyang.ac.kr )
2
Department of Robot Engineering, Hanyang University, Ansan, 426-791, Korea
(E-mail: norwalk87@hanyang.ac.kr* ) *Corresponding author
Abstract - With the higher demands of speed and accuracy
for automatic mechanism, the diversified parameters and
kinematics issues have been paid much more attention in
the field of cam research. This paper introduced a special
cam-based intermittent linkage mechanism that would
produce an ideal application in high speed motion. On the
basis of analyzed and compared the basic standing
kinematics cam curves, from the point of view of
kinematic characteristic, analysis the curve characteristic
(the units of kinematics eigenvalue, such as displacement,
speed, acceleration and so on), the 5
th
polynomial profile
curve is established. In this paper, kinematic analysis of
this cam-based linkage mechanism was done by separate
the system into two parts for its one kind of closed-chain
structure.
Keywords - Polynomial-curve, High-speed cam,
closed-chain linkage system, kinematics.
1. Introduction
Cam-follower mechanisms are found in almost all
mechanical devices and machines, not only because of
arbitrarily complicated motions have been achieved by the
brief simple-compact cam-based construction, but also
based on the good motion rigidity and the ability to
achieve complex expected movement, especially for those
systems witch has constant displacement, velocity and
acceleration.
It is possible to construct a cam blending crude
increments and observing its appearance. But this method
is not acceptable in the design of today’s cam machinery.
Nowadays cam designs are mostly depend on accurate
mathematical information for the cam characteristics of
displacement velocity, acceleration, and sometimes the
jerk. In so doing one can interpret and control the ultimate
design performance. The higher the cam speed, the more
critical is the investigation. This is especially true of the
acceleration data, which is the important determining
factor of the dynamic loads on cam-follower in high-speed
systems.
Cam curve can be design not only by this curves witch
are based on the numerical method but also calculate
profile curve use the convolution filtering method and the
acceleration-combination method in cam follower curve
design [1].
Cam can be designed for any acceptable curve or shape.
Basic curves are the first selection to establish the follower
action for they are easy to analyze and manipulate.
However, for most of the high-speed cams, just depends
on basic curves are not enough. In this paper, we
introduced the 5
th
polynomial curve which is an ideal
curve for the high-speed mechanism. Based on this special
designed cam, the four-bar linkage mechanism should
have a high-speed and intermittent trajectory that can be
used as an arm or a manipulator by combined with some
more structures. Since the analysis of a four bar linkage
can’t be easily build as a linkage system, so the system
would be separated into more then one loop [2]. This paper
shows the kinematic equations of the system witch is
separate into two loops based on the two driver torque.
2. Design
2.1 Definite the high-speed cam
Since the motion torque of the linkage intermittent
mechanism is based on the high-speed cam, it is necessary
to give an definition of a high-speed cam. Investigation
provides two different standards,
U.S. standard of high speed cam is given as:
1
1
/ 10
: Cam design revolving speed
: Mechanism inherent frequency.
When 1, high speed cam.
d
n
n
d
ω ω
ω
ω
-
=
≤
(1)
Even though the cam design revolving speed and the
mechanism inherent frequency could be found from some
cam elements, but for most of the cam, the inherent
frequency is difficult to calculate.
Japanese Standard of high speed cam is basced on the
Automatic machine standard as:
max max
max max
max max
Low speed mechanism
1 or 1 /
Medium speed mechanism
1 3 or 1 / 2 /
High speed mechanism
3 8 or 2 / 3 /.
Here, is the gravity acceleration.
a g v m s
g a g m s v m s
g a g m s v m s
g
≤ ≤
≤ ≤ ≤ ≤
≤ ≤ ≤ ≤
(2)
In this paper, we defined the high-speed cam in view of
the Japanese standard by the cam maximum acceleration
of follower as:
2013 10th International Conference on Ubiquitous Robots and Ambient Intelligence (URAI)
October 31-November 2, 2013 / Ramada Plaza Jeju Hotel, Jeju, Korea
978-1-4799-1197-4/13/$31.00 ©2013 IEEE
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