Fréchet-Derivative-Based Global Sensitivity Analysis and Its Physical Meanings in Structural Design
Sensitivity analysis is essential for uncertainty-based structural design and analysis, especially global sensitivity analysis, which can reflect the overall physical properties of large and complex computational models with stochastic parameters. In recent decades, a variety of global sensitivity i...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-03-01
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| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/15/5/2703 |
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| Summary: | Sensitivity analysis is essential for uncertainty-based structural design and analysis, especially global sensitivity analysis, which can reflect the overall physical properties of large and complex computational models with stochastic parameters. In recent decades, a variety of global sensitivity indices (GSIs) have been extensively developed based on the distinct perspectives of global sensitivity analysis, in which the most common GSIs are variance-based, moment-independent, and failure-probability-based. In this work, a newly developed Fréchet-derivative-based GSI (Fre-GSI) is discussed. Properties of the Fre-GSI related to the measure and direction are first investigated. Then, a functional perspective of global sensitivity analysis is proposed, with the physical meanings of the four GSIs illustrated. Practical links of the Fre-GSI with the other three classical GSIs are derived analytically. Numerical examples are studied to verify the proposed links, and the specific advantages of the four GSIs are discussed. |
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| ISSN: | 2076-3417 |