Next Article in Journal
Entropy Exchange and Thermodynamic Properties of the Single Ion Cooling Process
Previous Article in Journal
Non-Extensive Statistical Analysis of Energetic Particle Flux Enhancements Caused by the Interplanetary Coronal Mass Ejection-Heliospheric Current Sheet Interaction
Previous Article in Special Issue
A Thermoelectric-Heat-Pump Employed Active Control Strategy for the Dynamic Cooling Ability Distribution of Liquid Cooling System for the Space Station’s Main Power-Cell-Arrays
Article Menu

Export Article

Open AccessArticle

An Effective Approach for Reliability-Based Sensitivity Analysis with the Principle of Maximum Entropy and Fractional Moments

1
School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China
2
The Technology Center, Taiyuan Heavy Industry Co. Ltd., Taiyuan 030024, China
3
Department of Civil & Environmental Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(7), 649; https://doi.org/10.3390/e21070649
Received: 9 May 2019 / Revised: 23 June 2019 / Accepted: 26 June 2019 / Published: 1 July 2019
(This article belongs to the Special Issue Intelligent Tools and Applications in Engineering and Mathematics)
  |  
PDF [835 KB, uploaded 1 July 2019]
  |  

Abstract

The reliability-based sensitivity analysis requires to recursively evaluate a multivariate structural model for many failure probability levels. This is in general a computationally intensive task due to irregular integrations used to define the structural failure probability. In this regard, the performance function is first approximated by using the multiplicative dimensional reduction method in this paper, and an approximation for the reliability-based sensitivity index is derived based on the principle of maximum entropy and the fractional moment. Three examples in the literature are presented to examine the performance of this entropy-based approach against the brute-force Monte-Carlo simulation method. Results have shown that the multiplicative dimensional reduction based entropy approach is rather efficient and able to provide reliability estimation results for the reliability-based sensitivity analysis of a multivariate structural model. View Full-Text
Keywords: multiplicative dimensional reduction method; reliability-based sensitivity analysis; fractional moments; the principle of maximum entropy multiplicative dimensional reduction method; reliability-based sensitivity analysis; fractional moments; the principle of maximum entropy
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Zhang, X.; Liu, J.; Yan, Y.; Pandey, M. An Effective Approach for Reliability-Based Sensitivity Analysis with the Principle of Maximum Entropy and Fractional Moments. Entropy 2019, 21, 649.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top