Research Papers: Power Transmissions and Gearing

Numerical and Experimental Study of the Loaded Transmission Error of a Worm Gear With a Plastic Wheel

[+] Author and Article Information
Jean-Pierre de Vaujany

 LaMCoS, INSA-Lyon, CNRS UMR5259, 18-20 rue des Sciences, 69621 Villeurbanne, Francejean-pierre.devaujany@insa-lyon.fr

Michèle Guingand

 LaMCoS, INSA-Lyon, CNRS UMR5259, 18-20 rue des Sciences, 69621 Villeurbanne, Francemichele.guingand@insa-lyon.fr

Didier Remond

 LaMCoS, INSA-Lyon, CNRS UMR5259, 18-20 rue des Sciences, 69621 Villeurbanne, Francedidier.remond@insa-lyon.fr

J. Mech. Des 130(6), 062602 (Apr 14, 2008) (6 pages) doi:10.1115/1.2898877 History: Received April 06, 2007; Revised August 22, 2007; Published April 14, 2008

Nowadays, the wheels of worm gears with a low module can be made of plastic; thus, classical modeling can no longer be used satisfactorily. The present paper describes an original method for studying the quasistatic loaded behavior of a worm gear, with a steel worm and a nylon wheel. A generalized Kelvin model is proposed, and the computation of load sharing is described by using an equation of displacement compatibility. The history of previous deformation and the effect of the nylon’s structural damping are also taken into account. Experimental measurements of the loaded transmission error are performed with the help of optical encoders rigidly connected to the worm and gear shafts, giving access to their instantaneous angular positions. The numerical simulations fit quite well with the experimental results.

Copyright © 2008 by American Society of Mechanical Engineers
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Figure 5

Meshing on the entire active flank

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Figure 6

Balance of the driving torque

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Figure 7

Influence of contact coefficients

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Figure 8

Finite element meshing

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Figure 9

Phase difference measurement principle with encoders

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Figure 10

Calculation of transmission error by the angular method

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Figure 11

Definition of Axes 1 and 2

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Figure 12

Transmission error (1.4Nm and 400rpm)

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Figure 13

Transmission error (1.9Nm and 800rpm)

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Figure 14

Experimental signal filtered and averaged

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Figure 15

Transmission error for several speeds

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Figure 16

Transmission error for several temperatures

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Figure 17

Comparison of measured and simulated transmission error (400rpm, 1.4Nm)

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Figure 18

Comparison of measured and simulated transmission error (800rpm, 1.9Nm)

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Figure 1

Generalized Kelvin model

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Figure 2

Displacement of a nylon in function of the vibration

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Figure 3

Deformation versus temperature curve (1Hz)

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Figure 4

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