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An Interval Approach for Design and Analysis of Mechanical Systems with Uncertainties  

Shin, Jae-Kyun (Dept. of Mechanical Engineering, Yeungnam university)
Li Chen (Department of Mechanical and Industrial Engineering, University of Toronto)
Jang, Woon-Geun (Graduate School of Yeungnam University)
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Abstract
This paper addresses the challenges of dealing with uncertainties based on interval analysis. An interval approach is proposed on the basis of Boundary Selection Method (BSM) for treating systems of linear interval equations in the presence of columnwise dependencies. An iterative procedure is developed for the problem solving where uncertainties are characterized in the form of interval quantities. An applied example is used to illustrate effectiveness and usefulness of the proposed approach. This new method can be applied for such circumstances that involve finite element analysis of structures, inverse dynamic analysis of mechanisms, and worst case design studies in the presence of the uncertainties.
Keywords
Uncertainty Modeling; Interval Analysis; Worst Case Design and Analysis; Boundary Selection System;
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