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TECHNICAL PAPERS

Synthesis of Inertially Compensated Variable-Speed Cams

[+] Author and Article Information
B. Demeulenaere, J. De Schutter

Katholieke Universiteit Leuven, Department of Mechanical Engineering, Celestijnenlaan 300B, B-3001 Heverlee, Belgium

J. Mech. Des. 125(3), 593-601 (Sep 04, 2003) (9 pages) doi:10.1115/1.1582502 History: Received June 01, 2001; Revised October 01, 2002; Online September 04, 2003
Copyright © 2003 by ASME
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References

Figures

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Schematic representation of a cam-follower system with N=2 (oscillating) followers
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Desired position fi(t) [rad] for the three (i=1[[ellipsis]]3) followers of the cam-follower system. The three followers perform the same movement, shifted in time (Θi=−0.3272 rad,i=1[[ellipsis]]3).  
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(a) Dimensionless desired speed θi(τ) [-] for the three (i=1[[ellipsis]]3) followers of the cam-follower system, after the beginning of the motion cycle has been moved to the point where εfol(τ) is minimal; (b) dimensionless camshaft speed ϕ(τ): the dashed line indicates the average value ϕave=0.6317.
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(a) Dimensionless kinetic energy εmot(τ) of the equivalent camshaft inertia for the VAR-system (full line) and the CON-system (dashed line); (b) dimensionless kinetic energy εfol(τ) of the followers; (c) total dimensionless kinetic energy ε(τ)=εmot(τ)+εfol(τ) for the VAR-system (full line) and the CON-system (dashed line).
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(a)-(b)-(c) Cam motion law (and its derivatives w.r.t. g) of the first cam-follower configuration (i=1), for the VAR-system (full line) and the CON-system (dashed line); (d)-(e)-(f ) difference ΔF1(n)(g)=F1,VAR(n)(g)−F1,CON(n)(g) between the VAR and the CON-motion law (and its derivatives) for the first cam-follower configuration.  
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The value of J0 as a function of δ, on a logarithmic scale
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Cam profile of the slave cam of the first cam-follower configuration (i=1) for five different values of δ, i.e., δ=0.1,δ=0.3,δ=0.5,δ=0.7, and δ=0.9. The arrows indicate increasing values of δ.
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Properties of the slave cam of the first cam-follower configuration (i=1) as a function of δ: (a) maximum pressure angle; (b) maximum Hertzian pressure; (c) minimum positive radius of curvature; (d) maximum cutter radius.
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(a) Maximum deviation max(Δġ(t)) of the camshaft speed for the VAR-systems; (b) maximum deviation max(Δġ(t)) of the camshaft speed for the CON-systems; (c) ratio ρ1 (on a dB-scale) of the max(Δġ(t)) values for corresponding CON and VAR-systems.
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(a) RMS-value of the motor torque Tmot(t) for the VAR-systems; (b) RMS-value of the motor torque Tmot(t) for the CON-systems; (c) ratio ρ2 (on a dB-scale) of the RMS-values for corresponding CON and VAR-systems.
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(a) Maximum deviation max(Δf1(t)) of the position of the first follower (i=1) for the VAR-systems; (b) maximum deviation max(Δf1(t)) of the position of the first follower (i=1) for the CON-systems; (c) ratio ρ3 (on a dB-scale) of the max(Δf1(t)) values for corresponding CON and VAR-systems.

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