Uncertainty and dissipation
Author
Carcaterra, A.
Akay, Adnan
Date
2012-09Source Title
Proceedings of ISMA 2012 International Conference on Noise and Vibration Engineering
Publisher
Katholieke Universiteit Leuven
Volume
6
Pages
4761 - 4775
Language
English
Type
Conference PaperItem Usage Stats
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Abstract
This paper discusses the question of the energy confinement in mechanical structures in the light of the uncertainties affecting the natural frequencies of the system. More precisely, recent studies have shown that energy can be introduced to a linear system with near irreversibility, or energy within a system can migrate to a subsystem nearly irreversibly, even in the absence of dissipation, provided that the system has a particular natural frequency distribution. In this paper, the case of uncertainties in the system's natural frequencies is discussed and a remarkable statistical property of the natural frequency is derived for permanent energy confinement within a part of the system. The results demonstrate the existence of a special class of linear non-dissipative dynamic systems that exhibit nearly-irreversible energy confinement (IEC) if they satisfy a minimum-variance-response (MIVAR) property. In this case, if the probability density function of the natural frequencies has a special distribution, the conservative system shows an unexpected decaying impulse response. © (2012) by the Katholieke Universiteit Leuven Department of Mechanical Engineering All rights reserved.
Keywords
Impulse responseLinear systems
Probability density function
Structural dynamics
Conservative systems
Energy confinement
Frequency distributions
Mechanical structures
Special class
Statistical properties
Natural frequencies