Research Papers

Experimental and Simulation Results of a Cam and a Flat-Faced Follower Mechanism

[+] Author and Article Information
Louay S. Yousuf

Assistant Professor
Department of Mechanical Engineering,
Auburn University,
Auburn, AL 36849
e-mail: lsa0006@auburn.edu

Dan B. Marghitu

Department of Mechanical Engineering,
Auburn University,
Auburn, AL 36849
e-mail: marghdb@auburn.edu

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received May 2, 2016; final manuscript received January 14, 2017; published online September 7, 2017. Assoc. Editor: Przemyslaw Perlikowski.

J. Comput. Nonlinear Dynam 12(6), 061001 (Sep 07, 2017) (7 pages) Paper No: CND-16-1217; doi: 10.1115/1.4035824 History: Received May 02, 2016; Revised January 14, 2017

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.

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Fig. 1

Cam profile specifications

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Fig. 2

Polydyne cam profile verification

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Fig. 3

Follower displacement of the theoretical cam profile

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Fig. 4

Follower guide's clearance

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Fig. 5

Single-degree-of-freedom system

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Fig. 6

General dimensions for the cam, the follower, and the guides

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Fig. 7

Follower linear displacement in the x and y directions

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Fig. 8

Cam-follower test rig

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Fig. 9

Average logarithmic divergence of neighboring trajectories

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Fig. 10

Follower linear displacement verification in the y-direction

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Fig. 11

Average logarithmic divergence verification for the actual and the theoretical cam profile. (a) Average logarithmic divergence comparison for N = 300 rpm and (b) Average logarithmic divergence comparison for N = 600 rpm.

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Fig. 12

Follower linear motion comparison

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Fig. 16

Largest Lyapunov exponent for different cam rotational speeds

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Fig. 15

LLE comparison for regular and three-degrees-of-freedom motions

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Fig. 14

LLE comparison for regular follower motion

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Fig. 13

Average logarithmic divergence verification. (a) Average logarithmic divergence for 297 rpm and (b) Average logarithmic divergence for 350 rpm.



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