Flexible Follower Response of a Translating Cam with Four Different Profiles for Rise-Dwell-Fall-Dwell motion
The flexible follower response of a translating cam with
four different profiles for rise-dwell-fall-dwell (RDFD) motion is
investigated. The cycloidal displacement motion, the modified
sinusoidal acceleration motion, the modified trapezoidal acceleration
motion, and the 3-4-5 polynomial motion are employed to describe the
rise and the fall motions of the follower and the associated four kinds of
cam profiles are studied. Since the follower flexibility is considered,
the contact point of the roller and the cam is an unknown. Two
geometric constraints formulated to restrain the unknown position are
substituted into Hamilton-s principle with Lagrange multipliers.
Applying the assumed mode method, one can obtain the governing
equations of motion as non-linear differential-algebraic equations. The
equations are solved using Runge-Kutta method. Then, the responses of
the flexible follower undergoing the four different motions are
investigated in time domain and in frequency domain.
[1]. Pasin, F., On dynamic stability of followers in cam
mechanisms, Mechanism and Machine Theory, 18(2), 1983,
151-155.
[2]. Yilmaz, Y., and Kocabas, H., The vibration of disc cam
mechanism, Mechanism and Machine Theory, 30(5), 1995,
695-703.
[3]. Felszeghy, S. F., Steady-state residual vibrations in highspeed,
dewll-type, rotating disk cam-follower systems,
Transactions of the ASME, Journal of Vibration and
Acoustics, 127, 2005, 12-17.
[4]. Teodorescu, M. and Rahnejat, H., Mathematical modelling
of layered contact mechanics of cam-tappet conjunction,
Applied MathematicallyModelling, 31, 2007, 2610-2627.
[5]. Wu, L. I., Chang, W. T., and Liu, C. H., The design of
varying-velocity translating cam mechanisms, Mechanism
and Machine Theory, 42, 2007, 352-364.
[6]. Cveticanin, L., Stability of motion of the cam-follower
system, Mechanism and Machine Theory, 42, 2007, 1238-
1250.
[7]. Wu, L. I., Liu, C. H., Shu, K. L., and Chou, S. L., Disk cam
mechanisms with a translating follower having symmetrical
double rollers, Mechanism and Machine Theory, 44, 2009,
2085-2097.
[8]. Naskar, T.K., and Acharyya, S., Measuring cam-follower
performance, Mechanism and Machine Theory, 45, 2010,
678-691.
[9]. Chen, F. Y., Mechanics and Design of Cam Mechanisms,
Pergamon Press, New York, 1982.
[1]. Pasin, F., On dynamic stability of followers in cam
mechanisms, Mechanism and Machine Theory, 18(2), 1983,
151-155.
[2]. Yilmaz, Y., and Kocabas, H., The vibration of disc cam
mechanism, Mechanism and Machine Theory, 30(5), 1995,
695-703.
[3]. Felszeghy, S. F., Steady-state residual vibrations in highspeed,
dewll-type, rotating disk cam-follower systems,
Transactions of the ASME, Journal of Vibration and
Acoustics, 127, 2005, 12-17.
[4]. Teodorescu, M. and Rahnejat, H., Mathematical modelling
of layered contact mechanics of cam-tappet conjunction,
Applied MathematicallyModelling, 31, 2007, 2610-2627.
[5]. Wu, L. I., Chang, W. T., and Liu, C. H., The design of
varying-velocity translating cam mechanisms, Mechanism
and Machine Theory, 42, 2007, 352-364.
[6]. Cveticanin, L., Stability of motion of the cam-follower
system, Mechanism and Machine Theory, 42, 2007, 1238-
1250.
[7]. Wu, L. I., Liu, C. H., Shu, K. L., and Chou, S. L., Disk cam
mechanisms with a translating follower having symmetrical
double rollers, Mechanism and Machine Theory, 44, 2009,
2085-2097.
[8]. Naskar, T.K., and Acharyya, S., Measuring cam-follower
performance, Mechanism and Machine Theory, 45, 2010,
678-691.
[9]. Chen, F. Y., Mechanics and Design of Cam Mechanisms,
Pergamon Press, New York, 1982.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:62636", author = "Jer-Rong Chang", title = "Flexible Follower Response of a Translating Cam with Four Different Profiles for Rise-Dwell-Fall-Dwell motion", abstract = "The flexible follower response of a translating cam with
four different profiles for rise-dwell-fall-dwell (RDFD) motion is
investigated. The cycloidal displacement motion, the modified
sinusoidal acceleration motion, the modified trapezoidal acceleration
motion, and the 3-4-5 polynomial motion are employed to describe the
rise and the fall motions of the follower and the associated four kinds of
cam profiles are studied. Since the follower flexibility is considered,
the contact point of the roller and the cam is an unknown. Two
geometric constraints formulated to restrain the unknown position are
substituted into Hamilton-s principle with Lagrange multipliers.
Applying the assumed mode method, one can obtain the governing
equations of motion as non-linear differential-algebraic equations. The
equations are solved using Runge-Kutta method. Then, the responses of
the flexible follower undergoing the four different motions are
investigated in time domain and in frequency domain.", keywords = "translating cam, flexible follower, rise-dwell-falldwell, response", volume = "4", number = "8", pages = "734-8", }