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RESEARCH PAPERS

Controlling the Frequency Content of Inertia Forces in Dwelling Cam-Follower Systems

[+] Author and Article Information
Forrest W. Flocker

Wade Department of Mechanical and Aerospace Engineering, Tri-State University, One University Boulevard, Angola, Indiana 46703flockerf@tristate.edu

J. Mech. Des 129(5), 546-552 (May 12, 2006) (7 pages) doi:10.1115/1.2712222 History: Received July 15, 2005; Revised May 12, 2006

Background. Cam-driven machines are frequently manufactured with the intent that they be installed in many different end applications, each with its own natural frequencies. A cam-driven component that performs well in one end application can excite obnoxious or damaging vibrations in another. Method of Approach. A Lagrange multiplier technique is presented that optimally modifies follower motion such that unwanted inertia force frequencies are suppressed. Results. An example problem illustrates the method and presents results. Conclusions. The technique provides a robust customization procedure, permitting the use of a cam-driven component in a wider variety of end applications.

Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

A typical plate cam driving an axial follower

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Figure 2

Double-harmonic motion for various dwell fractions

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Figure 3

Frequency content for the acceleration of a follower subject to double-harmonic motion: (a) No dwell, (b) 25% dwell, (c) 50% dwell, and (d) 75% dwell

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Figure 4

Magnitude of the Fourier coefficients for the double-harmonic function with 75% dwell and 25mm cam lift

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Figure 5

Double-harmonic follower displacement for 75% dwell and 25mm lift

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Figure 6

Magnitude of the pseudo acceleration coefficients for a double-harmonic follower with 75% dwell and 25mm lift

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Figure 7

Follower pseudo acceleration for double-harmonic motion with 75% dwell and 25mm lift

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Figure 8

Follower displacement coefficients when frequency number 8 is suppressed

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Figure 9

Follower displacement when frequency number 8 is suppressed

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Figure 10

Follower acceleration coefficients when frequency number 8 is suppressed

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Figure 11

Follower acceleration when frequency number 8 is suppressed

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Figure 12

Follower displacement coefficients when frequency numbers 8 and 9 are suppressed

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Figure 13

Follower displacement when frequency numbers 8 and 9 are suppressed

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Figure 14

Follower acceleration coefficients when frequency numbers 8 and 9 are suppressed

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Figure 15

Follower acceleration when frequency numbers 8 and 9 are suppressed

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Figure 16

Follower acceleration when frequency numbers 8 and 9 are suppressed. Computational parameters are M=512, k=100, and n=2.

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Figure 17

Follower acceleration coefficients when frequency numbers 8 and 9 are suppressed. Computational parameters are M=512, k=100, and n=2.

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