American Journal of Mechanical Engineering, 2015, Vol. 3, No. 6, 207-210
Available online at http://pubs.sciepub.com/ajme/3/6/10
© Science and Education Publishing
DOI:10.12691/ajme-3-6-10
Mechanical Oscillation of the Cam Mechanism
Peter Frankovský
1,*
, Ingrid Delyová
2
, Peter Sivák
2
, Darina Hroncová
1
, Marek Výrostek
3
1
Department of Mechatronics, Faculty of Mechanical Engineering Technical University of Košice, Slovakia
2
Department of Applied Mechanics and Mechanical Engineering, Faculty of Mechanical Engineering Technical University of Košice,
Slovakia
3
Zastrova a.s., Spišská Stará Ves, Slovakia
*Corresponding author: peter.frankovsky@tuke.sk
Abstract This article deals with the dynamic analysis of cam mechanism using MSC Adams. In the first part of
this paper is solving the dynamic analysis using the Newtonian mechanics. The mathematical model was designed
by using this method of dynamic analysis. The second part deals with the dynamic analysis in the program MSC
Adams/View. The dynamic analysis is important in terms usability of cam mechanism.
Keywords: dynamic analysis, cam mechanism, vibration, spring force, spring deformation
Cite This Article: Peter Frankovský, Ingrid Delyová, Peter Sivák, Darina Hroncová, and Marek Výrostek,
“Mechanical Oscillation of the Cam Mechanism.” American Journal of Mechanical Engineering, vol. 3, no. 6
(2015): 207-210. doi: 10.12691/ajme-3-6-10.
1. Introduction
The cam mechanisms have been used for a long time
until today and are included as an integral part of
combustion engines. They are encountered in installations
where comes transformation of rotary movement to
movement of shifting in practice. The advantage of cam
mechanisms is their simplicity and high functionality. The
dynamic analysis of the mechanism with a circular cam is
the aim of this work. This analysis is necessary when
dealing with design of a cam mechanism it to achieve
the best result which means to achieve desired properties
when is used the smallest amount of material, for instance.
Mathematical model of the cam mechanism was
derived by using Newton’s dynamics. In the second part
of the dynamic analysis is solution by program MSC Adams.
Programs such as MSC Adams can facilitate dynamic
analysis of various complex mechanisms which simplify
and velocity up the analysis results. To the desired results
solutions leads correctly preparation of dimensional model
in a computer program simulation of MSC. That program
allows you to evaluate the results in graphical and
numerical form. It can determine kinematics quantities
such as: displacement, velocity, acceleration, and other
physical quantities. The dynamic analysis is important in
terms usability of the cam mechanism, because of not
every shape and the characteristics of that cam meets the
specific mechanism. The graphical course of displacement,
velocity and acceleration is suggested to show us
the correct function of cam mechanism.
2. Cam Mechanism and Newtonian Mechanics
Our task is to deal with the motion of matter. We need
to determine the force transmitted to the resilient member.
On the figure is shown the equivalent circuit of cam
mechanism with consideration to the follower part with
stiffness k. We applied Newton's equations in examining
the absolute motion of the mass m in form [1]:
F ma = (1)
To analyze the vibration, we shall consider the mass m
of the cam mechanism shown in the position in Figure 1.
m
k
x
y
ω= const
l
ξ
Figure 1. The cam mechanism model
The force exerted by the spring in the position in
Figure 1 [2] has a magnitude T=k(x-l-y(t)). Substituting for
F into the fundamental equation F=ma and recalling that a
is the second derivative x of x with respect to t, we write:
() ( )
mx k x l yt =− − − (2)
or we write in the form:
() ( )
0 mx k x l yt + − − = (3)
and
()
2
mx k f t +Ω = (4)
where: