Nonlinear dynamic behaviour of a cam mechanism with oscillating roller follower in presence of profile error

doi:10.1007/s11465-013-0254-x

Front Mech Eng

2013, Vol. 8

Issue (2) : 127-136 https://doi.org/10.1007/s11465-013-0254-x

RESEARCH ARTICLE

Nonlinear dynamic behaviour of a cam mechanism with oscillating roller follower in presence of profile error

Walha LASSAAD(

), Tounsi MOHAMED, Driss YASSINE, Chaari FAKHER, Fakhfakh TAHER, Haddar MOHAMED

Research Unit of Mechanical Dynamic System (UDSM), Mechanical Engineering Department, National Engineers School of Sfax, University of Sfax, Tunisia

Download: PDF(400 KB) HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract

In this paper we investigate the nonlinear dynamic behaviour of a cam mechanism with oscillating roller follower in presence of defects. The nonlinear developed lumped-mass model includes eight degrees of freedom with two nonlinear hertzian contacts. The first one is located between cam and first roller while the second is between second roller and the sliding rod. The nonlinear dynamic behaviour is described by second order differential equations which are resolved by using the implicit Newmark algorithm combined with the Newton-Raphson iterative scheme. The influence of the cam profile error on the dynamic behaviour is also investigated.

Keywords cam nonlinear behaviour oscillating roller follower profile error

Corresponding Author(s): LASSAAD Walha,Email:walhalassaad@yahoo.fr

Issue Date: 05 June 2013

Cite this article:

Driss YASSINE,Chaari FAKHER,Fakhfakh TAHER, et al. Nonlinear dynamic behaviour of a cam mechanism with oscillating roller follower in presence of profile error[J]. Front Mech Eng, 2013, 8(2): 127-136.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-013-0254-x
https://academic.hep.com.cn/fme/EN/Y2013/V8/I2/127

Fig.1 Schematic of the cam mechanism with oscillating roller follower

Fig.2 Nonlinear dynamic model of the cam mechanism with oscillating roller follower

Fig.3 A geometric configuration of the cam mechanism with oscillating roller follower

Fig.4 Hertzian deformations on the cam (1) and the roller (2)

Tab.1 Parameters of the studied mechanism

Fig.5 Time varying cam profile ()

Fig.6 Time fluctuation of the pressure angle ()

Fig.7 Nonlinear dynamic behaviour of the oscillating roller follower (3): (a) Angular displacement; (b) Angular acceleration

Fig.8 Time fluctuations of displacement and acceleration of the sliding rod (5)

Fig.9 Time fluctuations of (a) displacement and (b) acceleration of the cam bearing (1)

Fig.10 Time fluctuations of the hertzian contact forces

Fig.11 Pressure angle () in presence of profile error

Fig.12 Angular acceleration of the oscillating follower

Fig.13 Time fluctuations of accelerations along the direction in presence of profile error: (a) on the sliding rod (5); (b) on the bearing of cam (1)

Fig.14 Time fluctuations of the contact forces in the presence of a profile error: (a) on the sliding rod (5); (b) on the bearing of cam (1)

Fig.15 Spectra of accelerations along the direction in presence of profile error: (a) on the sliding rod (5); (b) on the bearing of cam (1)

1	Petropoulou A, Dimopoulos S, Mourtzis D, Chondros T G. A computer aided method for cam profile design. Proceedings of EUCOMES 08 , 2009, 369-376
2	Larson J, Cheng H H. Object-oriented cam design through the internet. Journal of Intelligent Manufacturing , 2000, 11(6): 515–534
3	Teodorescu M, Votsios V, Rahnejat H, Taraza D. Jounce and impact in cam-tappet conjunction induced by the elastodynamics of valve train system. Meccanica , 2006, 41(2): 157–171
4	Cardona A, Lens E, Nigro N. Optimal design of cams. Multibody System Dynamics , 2002, 7(3): 285–305
5	Wang H P, Lin A C. Camex: an expert system for selecting cam-follower design parameters. International Journal of Advanced Manufacturing Technology , 1989, 4(1): 46–71
6	Chang W T, Wu L I, Liu C H. Inspecting profile deviations of conjugate disk cams by a rapid indirect method. Mechanism and Machine Theory , 2009, 44(8): 1580–1594
7	Ahn K Y, Kim S H. Influence of spring dynamics and friction on a spring-actuated cam system. Archive of Applied Mechanics , 2001, 71(8): 497–508
8	Golovin A, Lafitsky A, Simuskhin A. Experimental and theoretical research of cams wearing of cams mechanism. Proceedings of EUCOMES 08 , 2009, 343 -350
9	Alzate R, Bernardo M, Montanaro U, Santini S. Experimental and numerical verification of bifurcations and chaos in cam-follower impacting systems. Nonlinear Dynamics , 2007, 50(3): 409–429
10	Kim W-J, Jeon H-S, Park Y-S. Analytical and experimental motion analysis of finger follower type cam-valve system with a hydraulic tappet. KSME Journal , 1990, 4(1): 40-47
11	Chang W-T, Wu L-I, Liu C-H. The kinematic design of a planar-cam type pick-and-place device. Journal of Mechanical Science and Technology , 2008, 22(12): 2328-2336
12	Wu L I, Chang W T. Analysis of mechanical errors in disc cam mechanisms. Proceedings of the Institution of Mechanical Engineers Part C. Journal of Mechanical Engineering Science , 2005, 219(2): 209–224
13	Kim H R, Newcombe W R. The effect of cam profile errors and system flexibility on cam mechanism output. Mechanism and Machine Theory , 1982, 17(1): 57–72
14	Walha L, Fakhfakh T, Haddar M. Nonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation, bearing flexibility and backlash. Mechanism and Machine Theory , 2009, 44(5): 1058–1069
15	Kandge G M. Influence of mode dependent rayleigh damping on transient stress response. Dissertation for the Master’s Degree . Karlskrone, Sweden: Blekinge Institute of Technology, 2007
16	Dhatt G, Touzot G. Finite elements method presentation, Maloine Edition , 1984
17	Tounsi M, Chaari F, Abbes M S, Fakhfakh T, Haddar M. Failure analysis of a cam-follower system affected by a crack. Journal of Failure Analysis and Prevention , 2011, 11(1): 41–50
18	Tounsi M, Chaari F, Abbes M S, Fakhfakh T, Haddar M. Effect of camshaft eccentricity and follower backlash on the dynamic behaviour flexible cam mechanism. Diagnostyka , 2010, 2(54): 3–9
19	Xiao H S, Zu J W. Cam profile optimization for a new cam drive. Journal of Mechanical Science and Technology , 2009, 23(10): 2592-2602

[1]	A. Galip ULSOY. Smart product design for automotive systems[J]. Front. Mech. Eng., 2019, 14(1): 102-112.
[2]	Hui Ching FAN, Hong Sen YAN. On the improvement design of dynamic characteristics for the roller follower of a variable-speed plate cam mechanism[J]. Front Mech Eng, 2012, 7(1): 5-15.
[3]	Ghulam ZAKRIA, Zailin GUAN, Yasser RIAZ, Mirza JAHANZAIB, Anwar KHAN, . Selecting and prioritizing key factors for CAD/CAM software in small- and medium-sized enterprises using AHP[J]. Front. Mech. Eng., 2010, 5(2): 157-164.
[4]	Shengwen ZHANG, Guicheng WANG, Liang ZHANG, Xifeng FANG. CNC programming system for complex components based on KBE within integrated environment of CAD/CAPP/CAM[J]. Front Mech Eng Chin, 2009, 4(1): 97-102.
[5]	CHANG Qiuying, YANG Peiran, WANG Jing, CHEN Quanshi. Influence of temperature on cam-tappet lubrication in an internal combustion engine[J]. Front. Mech. Eng., 2007, 2(4): 489-492.
[6]	CHEN Haichu. An autonomous miniature wheeled robot based on visual feedback control[J]. Front. Mech. Eng., 2007, 2(2): 197-200.
[7]	LIU Ming-tao, ZHANG Ce, YANG Yu-hu. Principle and curve of planetary indexing cam mechanisms[J]. Front. Mech. Eng., 2006, 1(4): 475-478.

Viewed

Full text

Abstract

Cited

Shared

Discussed