Uncertainty analysis of large structures using universal grey number theory
作者：
Highlights：
• The universal grey number-based Gaussian elimination method is proposed to analyse interval-valued structures.
• Structures involving large number of interval equations are considered, which have not been studied before, using the proposed method.
• Accurate and reasonable ranges are predicted using the proposed method with less computational effort compared to other interval-based uncertainty methods.
• Ranges of input parameters, including the member lengths which have been assumed as deterministic values in the literature, are considered in the analysis of uncertain truss structures.
摘要
•The universal grey number-based Gaussian elimination method is proposed to analyse interval-valued structures.•Structures involving large number of interval equations are considered, which have not been studied before, using the proposed method.•Accurate and reasonable ranges are predicted using the proposed method with less computational effort compared to other interval-based uncertainty methods.•Ranges of input parameters, including the member lengths which have been assumed as deterministic values in the literature, are considered in the analysis of uncertain truss structures.
论文关键词：Uncertainty,System of interval equations,Universal grey numbers,Gaussian-elimination method,Analysis of large structures
论文评审过程：Received 4 April 2020, Revised 25 July 2021, Accepted 10 October 2021, Available online 25 October 2021, Version of Record 25 October 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126735
