An Improved Nonprobabilistic Monte Carlo Simulation Method for Structural Reliability Analysis Based on Convex Models

Authors

• Xinzhou Qiao, Xi'an University of Science and Technology
• Yuetong Zhao, Xi'an University of Science and Technology
• Xiurong Fang, Xi'an University of Science and Technology
• Isaac Elishakoff, Florida Atlantic University

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Faculty

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

This paper proposes an improved nonprobabilistic Monte Carlo simulation method for structural reliability analysis based on convex models. The novelty of the proposed method is to use a unit hyper-sphere sampling technique to ensure the validity of all samples, and to restrict the sampling domain to the evaluated domain which is geometrically the intersection of a hyper-spherical shell and a hyper-spherical sector and generally has a smaller volume than the whole ellipsoid. The nonprobabilistic characteristics and application to the interval model of the proposed method are also discussed. Seven numerical examples are provided to demonstrate the efficacy of the proposed methodology.

DOI

10.1142/S0219876224500373

Publication Date

2-1-2025

Recommended Citation

Qiao, Xinzhou; Zhao, Yuetong; Fang, Xiurong; and Elishakoff, Isaac, "An Improved Nonprobabilistic Monte Carlo Simulation Method for Structural Reliability Analysis Based on Convex Models" (2025). Faculty Scholarship. 151.
https://digitalcommons.fau.edu/faculty_papers/151