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Research Papers

Time-Dependent Reliability Analysis for Function Generator Mechanisms

[+] Author and Article Information
Junfu Zhang

School of Mechanical Engineering, Xihua University, Chengdu, P.R. China 610039zhang_junfu@126.com

Xiaoping Du1

Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, Rolla, MO 65409dux@mst.edu

1

Corresponding author.

J. Mech. Des 133(3), 031005 (Mar 01, 2011) (9 pages) doi:10.1115/1.4003539 History: Received August 03, 2010; Revised January 13, 2011; Published March 01, 2011; Online March 01, 2011

A function generator mechanism links its motion output and motion input with a desired functional relationship. The probability of realizing such functional relationship is the kinematic reliability. The time-dependent kinematic reliability is desired because it provides the reliability over the time interval where the functional relationship is defined. But the methodologies of time-dependent reliability are currently lacking for function generator mechanisms. We propose a mean value first-passage method for time-dependent reliability analysis. With the assumption of normality for random dimension variables with small variances, the motion error becomes a nonstationary Gaussian process. We at first derive analytical equations for upcrossing and downcrossing rates and then develop a numerical procedure that integrates the two rates to obtain the kinematic reliability. A four-bar function generator is used as an example. The proposed method is accurate and efficient for normally distributed dimension variables with small variances.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Upcrossing and downcrossing events

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Figure 2

Flowchart of time-dependent mechanism reliability analysis

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Figure 3

Four-bar function generator mechanism

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Figure 4

pf of the sine function generator (case 1)

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Figure 5

pf of the sine function generator (case 2)

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Figure 6

pf of the log function generator (case 1)

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Figure 7

pf of the log function generator (case 2)

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