Improved Numerical Algorithms for Analysis of Mechanical Systems With Uncertain Parameters

Abstract

The paper presents a non-traditional approach for analysis of uncertainties in material, geometric and load parameters. Uncertainties are introduced as bounded possible values – fuzzy and interval numbers. An application of the chosen approaches is going to be presented; the first one is the Monte Carlo technique as a comparison tool; the second one presents the full combination of all inf-sup values; the third one uses the optimization process as a tool for finding out a inf-sup solution. The possibilities and efficiency of suggested methods and algorithms are tested by programs created in the environment of the software package MATLAB.