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Research Papers

A Method for the Design of Ring Dampers for Gears in Aeronautical Applications

[+] Author and Article Information
Stefano Zucca

 Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italystefano.zucca@polito.it

Christian Maria Firrone

 Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italychristian.firrone@polito.it

Marco Facchini

 AVIO SPA, Rivalta di Torino, Italy Torino, 10040 Italymarco.facchini@aviogroup.com

J. Mech. Des 134(9), 091003 (Aug 06, 2012) (10 pages) doi:10.1115/1.4007145 History: Received December 17, 2010; Revised June 14, 2012; Published August 06, 2012

In order to reduce the resonant vibration of thin walled gears used for aeronautical applications, friction ring dampers may be added to the gear. In order to design the damper geometry, engineers must be able to evaluate its effect on the dynamics of the gear. In this paper a method for the calculation of the forced response of gears with friction ring dampers for aeronautical applications is proposed for the first time. The gear and the damper are modeled by means of the finite element method (FEM) and they are coupled by means of contact elements, characterized by tangential and normal contact stiffness. The periodical response of the system is computed in the frequency domain by means of the harmonic balance method. The harmonic excitation is calculated by means of the Fourier analysis of the periodic force profile acting on the gear teeth. The methodology is applied to a case of industrial interest. The effect of the principal design parameters of the ring damper is highlighted.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

An example of a gear for aeronautical applications

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Figure 2

Time histories of meshing loads on two consecutive teeth

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Figure 3

Meshing load over tooth #1 (up) and its first 100 Fourier coefficients (down)

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Figure 4

Campbell diagram of a gear

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Figure 5

Example of the ring damper geometry and its location in the gear rim (red arrow)

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Figure 6

Full FE model (left) and fundamental sector (right)

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Figure 7

Ring FE model: (a) full ring and (b) the ring cut

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Figure 8

Mode shape (ND = 2) of the gear and of the damper in the case of full stick conditions

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Figure 9

Master dofs on the fundamental sector of the gear and of the damper

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Figure 10

Contact element

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Figure 11

Mode shape under analysis with three nodal diameters

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Figure 12

Effect of the ring mass (i.e., centrifugal force)

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Figure 13

Effect of the coefficient of friction

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Figure 14

Effect of the torque level

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Figure 15

Performance curve of the damper ring

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Figure 16

Effect of the contact ratio on the mesh load (upper) and on the engine order excitation (lower)

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Figure 17

Effect of the contact ratio on the dynamic behavior of the gear

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Figure 18

Force response at different torque levels: actual contact ratio (up) versus reference contact ratio (down)

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