PROBABILISTIC DESIGN AND RELIABILITY ANALYSIS WITH KRIGING AND ENVELOPE METHODS

Description

<p> </p>
<p>In the mechanical design stage, engineers always meet with uncertainty, such as random</p>
<p>variables, stochastic processes, and random processes. Due to the uncertainty, products may</p>
<p>behave randomly with respect to time and space, and this may result in a high probability of failure,</p>
<p>low lifetime, and low robustness. Although extensive research has been conducted on the</p>
<p>component reliability methods, time- and space-dependent system reliability methods are still</p>
<p>limited. This dissertation is motivated by the need of efficient and accurate methods for addressing</p>
<p>time- and space-dependent system reliability and probabilistic design problems.</p>
<p>The objective of this dissertation is to develop efficient and accurate methods for reliability</p>
<p>analysis and design. There are five research tasks for this objective. The first research task develops</p>
<p>a surrogate model with an active learning method to predict the time- and space-independent</p>
<p>system reliability. In the second research task, the time- and space-independent system reliability</p>
<p>is estimated by the second order saddlepoint approximation method. In the third research task, the</p>
<p>time-dependent system reliability is addressed by an envelope method with efficient global</p>
<p>optimization. In the fourth research task, a general time- and space-dependent problem is</p>
<p>investigated. The envelope method converts the time- and space-dependent problem into time- and</p>
<p>space-independent one, and the second order approximation is used to predict results. The last task</p>
<p>proposes a new sequential reliability-based design with the envelope method for time- and spacedependent</p>
<p>reliability. The accuracy and efficiency of our proposed methods are demonstrated</p>
<p>through a wide range of mathematics problems and engineering problems.</p>

Links & Downloads

1. 10.25394/pgs.19653132.v1

Tags

Mechanical Engineering

Reliability engineering

Probabilistic design

uncertainty quantification

Additional Fields

Identifer	oai:union.ndltd.org:purdue.edu/oai:figshare.com:article/19653132
Date	26 April 2022
Creators	Hao Wu (12456738)
Source Sets	Purdue University
Detected Language	English
Type	Text, Thesis
Rights	CC BY 4.0
Relation	https://figshare.com/articles/thesis/PROBABILISTIC_DESIGN_AND_RELIABILITY_ANALYSIS_WITH_KRIGING_AND_ENVELOPE_METHODS/19653132