A novel multidimensional parallelepiped model for structural uncertainty quantification and propagation analysis

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Faculty

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Probabilistic Engineering Mechanics

Publication Status

Version of Record

Abstract

The currently available multidimensional parallelepiped models in non-probabilistic convex treatment of uncertainty are applicable for the multi-source uncertainty problem with the coexistence of dependent and independent uncertain parameters. However, these may encounter obstacles either in possessing the minimum volume or in enclosing all experimental data, or in both. In this paper, a novel multidimensional parallelepiped model, which is defined as the intersection of a finite number of halfspaces, is proposed to bound the uncertainty domain to address the above issue. Based on the proposed model, two uncertainty propagation analysis methods, namely the Monte Carlo simulation method and the sub-multidimensional parallelepiped analysis method, are developed to predict the structural response interval. Three numerical examples are provided to demonstrate the superiority of the proposed model over the existing ones and to illustrate the effectiveness and validity of the proposed methods.

DOI

10.1016/j.probengmech.2025.103881

Publication Date

1-1-2026

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