STRUCTURAL FUZZY RELIABILITY ANALYSIS USING THE CLASSICAL RELIABILITY THEORY

Tuan Nguyen; Huynh Xuan Le

doi:10.5937/jaes0-30656

Tuan Nguyen Thuyloi university
Huynh Xuan Le

DOI: https://doi.org/10.5937/jaes0-30656

Keywords: fuzzy reliability, probability theory, structural reliability, response surface method, energy methods, plastic bending of beams

Abstract

This study is focused on a novel approach for calculating structural fuzzy reliability by using the classical reliability theory. In order to handle the structural fuzzy reliability problem, the formulas for establishing normal random variables equivalent to symmetric triangular fuzzy number are presented. From these equivalent random ones, the original problem is converted to the basic structural reliability problems, then the methods of the classical reliability theory should be applied to calculate. Moreover, this study proposes two notions in terms of central fuzzy reliability and standard deviation of fuzzy reliability as well as a calculation procedure to define them. Lastly, the ultimate fuzzy reliability of the proposed method is established and utilized to compare the allowable reliability in the design codes. Numerical results are supervised to verify the accuracy of the proposed method.