Linear Bounds on an Uncertain Non-Linear Oscillator: An Info-Gap Approach

Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 27)

Abstract

We study a 1-dimensional cubic non-linear oscillator in the frequency domain, in which the non-linearity is roughly estimated but highly uncertain. The task is to choose a suite of linear computational models at different excitation frequencies whose responses are useful approximations to, or upper bounds of, the real non-linear system. These model predictions must be robust to uncertainty in the non-linearity. A worst case for the uncertain non-linearity is not known. The central question in this paper is: how to choose the linear computational models when the magnitude of error of the estimated non-linearity is unknown. A resolution is proposed, based on the robustness function of info-gap decision theory. We also prove that the non-probabilistic info-gap robustness is a proxy for the probability of success.

Keywords

Middle Curve Load Uncertainty Robustness Function Life Cycle Design Uncertain Load 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Yitzhak Moda’i Chair in Technology and Economics, Faculty of Mechanical EngineeringTechnion — Israel Institute of TechnologyHaifaIsrael

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