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Updated: Nov 27, 2025

Data Acquisition Protocol for Determining Embedded Sensitivity Functions
Published on: April 20, 2016
An Effective Approach for Reliability-Based Sensitivity Analysis with the Principle of Maximum Entropy and Fractional
Xufang Zhang1, Jiankai Liu1, Ying Yan2
1School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China.
This study introduces an efficient entropy-based approach for reliability-based sensitivity analysis in complex structural models. The method significantly reduces computational intensity compared to traditional simulations, offering accurate reliability estimations.
Area of Science:
- Structural Engineering
- Computational Mechanics
- Reliability Analysis
Background:
- Reliability-based sensitivity analysis is computationally intensive due to recursive evaluations of multivariate structural models.
- Irregular integrations for structural failure probability further complicate these analyses.
Purpose of the Study:
- To develop a computationally efficient method for reliability-based sensitivity analysis.
- To approximate reliability-based sensitivity indices using entropy principles.
Main Methods:
- Approximation of the performance function using the multiplicative dimensional reduction method.
- Derivation of reliability-based sensitivity index approximation based on the principle of maximum entropy and fractional moment.
- Validation against brute-force Monte-Carlo simulations using three literature examples.
Main Results:
- The proposed multiplicative dimensional reduction based entropy approach demonstrates significant computational efficiency.
- The method provides accurate reliability estimation results for multivariate structural models.
- It outperforms traditional brute-force Monte-Carlo methods in terms of efficiency.
Conclusions:
- The entropy-based approach using multiplicative dimensional reduction is an efficient and effective tool for reliability-based sensitivity analysis.
- This method offers a viable alternative for complex structural reliability problems.
- It enables more accessible and faster sensitivity analysis in structural engineering.
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