In this study, a cam and a flat-faced follower system with impacts and friction at the contact points are analyzed. The dynamic analysis has been done by simulating the follower displacement at a uniform cam angular velocity. Impact and friction are considered to determine the Lyapunov exponent based on different follower guides' clearances and cam rotational speeds. The simulation analysis has been carried out using solidworks. An experimental procedure is developed to capture the follower position through high-resolution optical markers mounted on the moving link. The experimental results are compared with the simulation results.

References

1.
Flores
,
P.
,
Leine
,
R.
, and
Glocker
,
C.
,
2012
, “
Application of the Nonsmooth Dynamics Approach to Model and Analysis of the Contact-Impact Events in Cam-Follower Systems
,”
Nonlinear Dyn.
,
69
(
4
), pp.
2117
2133
.
2.
Tounsi
,
M.
,
Hbaieb
,
R.
,
Chaari
,
F.
,
Fakhfakh
,
T.
, and
Haddar
,
M.
,
2009
, “
Dynamic Stability Analysis of a Flexible Cam Mechanism Using a One-Degree-Of-Freedom Mode
,”
Proc. Inst. Mech. Eng., Part C
,
223
(
5
), pp.
1057
1068
.
3.
Tascan
,
S.
,
1988
, “
Effect of Eccentricity on the Speed Fluctuation of Cam Mechanisms With Translating Followers
,”
ASME J. Mech., Trans., and Automation
,
110
(
1
), pp.
11
15
.
4.
Chiu
,
H.
,
Ozaki
,
H.
,
Sato
,
E.
,
Suzuki
,
T.
,
Oho
,
A.
, and
Ariura
,
Y.
,
1993
, “
An Analysis Using Offset Curves for Profiles, Manufacturing and Errors of Plane Cams
,”
JSME Int. J. Ser. C, Dyn., Control, Rob., Des. Manuf.
,
36
(
1
), pp.
110
118
.
5.
Bagci
,
C.
, and
Kurnool
,
S.
,
1997
, “
Exact Response Analysis and Dynamic Design of Cam-Follower Systems Using Laplace Transforms
,”
ASME J. Mech. Des.
,
119
(
3
), pp.
359
369
.
6.
Cveticanin
,
L.
,
2007
, “
Stability of Motion of the Cam-Follower System
,”
Mech. Mach. Theory
,
42
(
9
), pp.
1238
1250
.
7.
Tsiafis
,
I.
,
Mitsi
,
S.
,
Bouzakis
,
K. D.
, and
Papadimitriou
,
A.
,
2013
, “
Optimal Design of a Cam Mechanism With Translating Flat-Face Follower Using Genetic Algorithm
,”
Tribol. Ind.
,
35
(
4
), pp.
255
260
.
8.
Sundar
,
S.
,
Dreyer
,
J. T.
, and
Singh
,
R.
,
2013
, “
Rotational Sliding Contact Dynamics in a Non-Linear Cam-Follower System as Excited by a Periodic Motion
,”
J. Sound Vib.
,
332
(
18
), pp.
4280
4295
.
9.
Hsu
,
W.
, and
Pisano
,
A. P.
,
1996
, “
Modeling of a Finger-Follower Cam System With Verification in Contact Forces
,”
ASME J. Mech. Des.
,
118
(
1
), pp.
132
137
.
10.
Bhalerao
,
K.
, and
Kurien Issac
,
K.
,
2006
, “
Simulation of Impact, Based on an Approach to Detect Interference
,”
Adv. Eng. Software
,
37
(
12
), pp.
805
813
.
11.
Alzate
,
R.
,
Di Bernardo
,
M.
,
Montanaro
,
U.
, and
Santini
,
S.
,
2007
, “
Experimental and Numerical Verification of Bifurcations and Chaos in Cam-Follower Impacting Systems
,”
Nonlinear Dyn.
,
50
(
3
), pp.
409
429
.
12.
Alzate
,
R.
,
Di Bernardo
,
M.
,
Giordano
,
G.
,
Rea
,
G.
, and
Santini
,
S.
,
2009
, “
Experimental and Numerical Investigation of Coexistence, Novel Bifurcations, and Chaos in a Cam-Follower System
,”
SIAM J. Appl. Dyn. Syst.
,
8
(
2
), pp.
592
623
.
13.
Osorio
,
G.
,
Di Bernardo
,
M.
, and
Santini
,
S.
,
2008
, “
Corner-Impact Bifurcations: A Novel Class of Discontinuity-Induced Bifurcations in Cam-Follower Systems
,”
SIAM J. Appl. Dyn. Syst.
,
7
(
1
), pp.
18
38
.
14.
Chang
,
W.-T.
, and
Wu
,
L.-I.
,
2009
, “
A Computerized Approach for Tolerance Analysis of Disk Cam Mechanisms With a Flat-Faced Follower
,”
Trans. Can. Soc. Mech. Eng.
,
33
(
3
), pp.
459
486
.http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/49856
15.
Mahyuddin
,
A.
, and
Midha
,
A.
,
1994
, “
Influence of Varying Cam Profile and Follower Motion Event Types on Parametric Vibration and Stability of Flexible Cam-Follower Systems
,”
ASME J. Mech. Des.
,
116
(
1
), pp.
298
305
.
16.
Ünlüsoy
,
Y. S.
, and
Tümer
,
S. T.
,
1994
, “
Non-Linear Dynamic Model and Its Solution for a High Speed Cam Mechanism With Coulomb Friction
,”
J. Sound Vib.
,
169
(
3
), pp.
395
407
.
17.
Hamidzadeh
,
H. R.
, and
Dehghani
,
M.
,
1999
, “
Dynamic Stability of Flexible Cam Follower Systems
,”
Proc. Inst. Mech. Eng., Part K
,
213
(
1
), pp.
45
52
.http://journals.sagepub.com/doi/pdf/10.1243/1464419991544045
18.
Corves
,
B.
,
Lovasz
,
E. C.
, and
Hüsing
,
M.
,
2012
,
Mechanisms, Transmissions and Applications
, 1st ed.,
Springer
, Berlin, Chap. 14.
19.
Kanzaki
,
K.
, and
Itao
,
K.
,
1972
, “
Polydyne Cam Mechanisms for Typehead Positioning
,”
J. Eng. Ind.
,
94
(
1
), pp.
250
254
.
20.
Rothbart
,
H. A.
, and
Klipp
,
D. L.
,
2004
,
Cam Design Handbook
, 1st ed.,
McGraw-Hill
, New York, Chap. 13.
21.
Felszeghy
,
S. F.
,
2005
, “
Steady-State Residual Vibrations in High-Speed, Dwell-Type, Rotating Disk Cam-Follower Systems
,”
ASME J. Vib. Acoust.
,
127
(
1
), pp.
12
17
.
22.
Yousuf
,
L.
,
Marghitu
,
D. B.
, and
Cojocaru
,
D.
,
2016
, “
Dynamic Simulation of a Cam With Flat-Faced Follower
,”
20th International Conference on System Theory, Control and Computing Joint Conference SINTES 20
, SACCS 16, SIMSIS 20, Sinaia, Romania, Oct. 13–15, pp. 485–489.
23.
Dingwell
,
J. B.
,
Cusumano
,
J. P.
,
Cavanagh
,
P. R.
, and
Sternad
,
D.
,
2001
, “
Local Dynamic Stability Versus Kinematic Variability of Continuous Overground and Treadmill Walking
,”
ASME J. Biomech. Eng.
,
123
(
1
), pp.
27
32
.
24.
Rosenstein
,
M. T.
,
Collins
,
J. J.
, and
De Luca
,
C. J.
,
1993
, “
A Practical Method for Calculating Largest Lyapunov Exponents From Small Data Sets
,”
Physica D
,
65
(
1
), pp.
117
134
.
25.
Dingwell
,
J. B.
, and
Cusumano
,
J. P.
,
2000
, “
Nonlinear Time Series Analysis of Normal and Pathological Human Walking
,”
Chaos
,
10
(
4
), pp.
848
863
.
26.
England
,
S. A.
, and
Granata
,
K. P.
,
2007
, “
The Influence of Gait Speed on Local Dynamic Stability of Walking
,”
Gait Posture
,
25
(
2
), pp.
172
178
.
27.
Son
,
K.
,
Park
,
J.
, and
Park
,
S.
,
2009
, “
Variability Analysis of Lower Extremity Joint Kinematics During Walking in Healthy Young Adults
,”
Med. Eng. Phys.
,
31
(
7
), pp.
784
792
.
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