Numerical methods for analysis of mechanical systems with uncertain parameters

Abstract

The paper presents new and improved numerical methods designed for analysis of mechanical systems with uncertain parameters. Uncertain parameters in mechanical systems are described by means of possibility theory. The main representatives of this theory are fuzzy and interval numbers. Algorithms using interval and fuzzy numbers are incorporated into the analysis. The possibilities and efficiency of suggested methods and algorithms are tested by programs created in the environment of the software package MATLAB.

Keywords

• possibility theory
• uncertain parameters
• interval numbers
• fuzzy numbers
• numerical methods
• MATLAB