Lifetime Distribution Estimation of Boot Seals in Automotive Applications by Bayesian Method

[+] Author and Article Information
Fabrice Guerin

 Institute of Technical Science of Angers, ISTIA-62, Avenue Notre Dame du Lac, 49000 Angers, Francefabrice.guerin@istia.univ-angers.fr

Ridha Hambli

 Polytech'Orléans (LMSP) 8, rue Léonard de Vinci 45072 Orleans Cedex 2 Franceridha.hambli@univ-orleans.fr

Marginal distribution can be interpreted as a probability density of the single variable

A point estimate is a statistic that produces a single numerical value as the estimate of the unknown parameter.

J. Mech. Des 129(3), 275-282 (Mar 21, 2006) (8 pages) doi:10.1115/1.2406098 History: Received May 17, 2005; Revised March 21, 2006

The constantly increasing market requirements of high quality vehicles ask for the automotive manufacturers to perform lifetime testing to verify the reliability levels of new products. A common problem is that only a small number of examples of a component of system can be tested. In the automotive applications, mechanical components subjected to cyclic loading have to be designed against fatigue. Boot seals are used to protect velocity joint and steering mechanisms in automobiles. These flexible components must accommodate the motions associated with angulation of the steering mechanism. Some regions of the boot seal are always in contact with an internal metal shaft, while other areas come into contact with the metal shaft during angulation. In addition, the boot seal may also come into contact with itself, both internally and externally. The contacting regions affect the performance and longevity of the boot seal. In this paper, the Bayesian estimation of lognormal distribution parameters (usually used to define the fatigue lifetime of rubber components) is studied to improve the accuracy of estimation in incorporating the available knowledge on the product. In particular, the finite element results and expert belief are considered as prior knowledge. For life time prediction by finite element method, a model based on Brown–Miller law was developed for the boot seal rubber-like material.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 3

Uniform noninformative PDF

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Figure 5

Deformation of the boot seal at different stages

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Figure 6

Fatigue damage fraction contour

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Figure 7

Load history with two constant amplitude loading

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Figure 8

Mean estimation by classical and Bayesian methods

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Figure 9

Standard deviation estimation by classical and Bayesian methods

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Figure 10

Reliability function

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Figure 1

Boot seal geometry and repeated loads in three directions




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