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Technical Briefs

Analytical and Numerical Dynamic Analysis of Gears in the Presence of Engine Acyclism

[+] Author and Article Information
G. Sika

Université de Lyon, INSA-Lyon, LaMCoS, CNRS UMR5259, Villeurbanne F69621, France

Ph. Velex1

Université de Lyon, INSA-Lyon, LaMCoS, CNRS UMR5259, Villeurbanne F69621, France

1

Corresponding author.

J. Mech. Des 130(12), 124502 (Oct 08, 2008) (6 pages) doi:10.1115/1.2991136 History: Received December 03, 2007; Revised May 07, 2008; Published October 08, 2008

A one-degree-of-freedom model of geared transmissions is set up. It incorporates the influence of unsteady rotations due to engine speed fluctuations along with simplified time-varying mesh stiffness functions, including contact losses between the teeth and back strikes. The dynamic tooth loads are determined by several analytical and numerical techniques whose results agree well. Finally, some of the response characteristics due to speed fluctuations are presented and commented upon.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 2

Sinusoidal mesh stiffness function—modulations by speed fluctuations

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Figure 3

Comparisons between numerical and analytical solutions—piecewise constant mesh stiffness (ε=0.05, p=2, ρp=0.025)

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Figure 4

Comparisons between numerical and analytical solutions—sinusoidal mesh stiffness (ε=0.02, p=2, ρp=0.01)

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Figure 5

Evolutions of AZ1Ω10,A(Z1+p)Ω10 and A(Z1+p)Ω10−A(Z1−p)Ω10 versus gear module

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Figure 6

Influence of load (p=2, ρp=0.025)

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Figure 7

Influence of the frequencies of speed fluctuations—piecewise constant mesh stiffness function (ε=0.05, u=5/6, ρp=0.025)

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