Time-Dependent Reliability Analysis for Function Generator Mechanisms
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.
J. Zhang and X. Du, "Time-Dependent Reliability Analysis for Function Generator Mechanisms," Journal of Mechanical Design, American Society of Mechanical Engineers (ASME), Mar 2011.
The definitive version is available at http://dx.doi.org/10.1115/1.4003539
Mechanical and Aerospace Engineering
Key Laboratory of Manufacturing and Automation of Sichuan Province
Missouri University of Science and Technology. Intelligent Systems Center
Keywords and Phrases
Function Generators; Normal Distribution; Reliability Analysis; Kinematics; Quality assurance; Random variables
Article - Journal
© 2011 American Society of Mechanical Engineers (ASME), All rights reserved.