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UNCERTAINTY ANALYSIS FOR TIME- AND SPACE-DEPENDENT RESPONSES WITH RANDOM VARIABLES

[+] Author and Article Information
Xinpeng Wei

Research Assistant, Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, 258A Toomey Hall, 400 West 13th Street, Rolla, MO 65409-0500
weixinp@mst.edu

Xiaoping Du

Professor, Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, 272 Toomey Hall, 400 West 13th Street, Rolla, MO 65409-0500
dux@mst.edu

1Corresponding author.

ASME doi:10.1115/1.4041429 History: Received June 25, 2018; Revised August 31, 2018

Abstract

The performance of a product varies with respect to time and space if the associated limit-state function involves time and space. This study develops an uncertainty analysis method that quantifies the effect of random input variables on the performance (response) over time and space. The combination of the first order reliability method (FORM) and the second order reliability method (SORM) is used to approximate the extreme value of the response with respect to space at discretized instants of time. Then the response becomes a Gaussian stochastic process that is fully defined by the mean, variance, and autocorrelation functions obtained from FORM and SORM, and a sequential single loop procedure is performed for spatial and random variables. The method is successfully applied to the reliability analysis of a crank-slider mechanism, which operates in a specified period of time and space.

Copyright (c) 2018 by ASME
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