Interval and Ellipsoid Intersection Model for Structural Uncertainty 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

International Journal of Computational Methods

Publication Status

Version of Record

Abstract

The nonprobabilistic convex model is suitable for handling many engineering structures with limited information. Recently, the generalization of the conventional interval and ellipsoidal models has received more attention, which provides more flexibility and may possess more compact uncertainty domain. In this paper, a novel generalization of both the interval model and the ellipsoidal model, namely the interval and ellipsoid intersection model, is proposed to achieve more accurate approximation for experimental data. The proposed model can provide a smaller uncertainty domain and can achieve a better balance between accuracy and efficiency than both the interval model and the ellipsoidal model. Based on the proposed model, a semi-analytical method is developed to efficiently obtain the bounds of linear or weak nonlinear response functions, and a nonprobabilistic reliability index is proposed to rationally assess the safety degree of structures. Three numerical examples are provided to demonstrate the effectiveness of the proposed model, to illustrate the superiority of the semi-analytical method over the interior-point method and the rationality of the proposed nonprobabilistic reliability index.

DOI

10.1142/S0219876225500574

Publication Date

4-1-2026

This document is currently not available here.

Share

COinS