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Control of an elastic continuum when traversed by a moving oscillator
Author(s) -
Giraldo Diego,
Dyke Shirley J.
Publication year - 2007
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.152
Subject(s) - control theory (sociology) , traverse , vibration , vibration control , engineering , computer science , control (management) , physics , quantum mechanics , artificial intelligence , geodesy , geography
An oscillator traversing an elastic continuum, often referred to as the moving‐oscillator problem, is representative of many common engineering systems. Due to the dynamic interaction between the two subsystems, deflections may be significantly larger than those generated when such interaction is neglected. Additionally, undesirable vibrations can result in damage due to fatigue. This study focuses on the development of control techniques designed to reduce the dynamic response of the continuum generated by this interaction. A series expansion is used to model the continuum, which, when combined with a single degree of freedom oscillator, results in a time‐varying, linear model describing the dynamics of the coupled system. Three different control techniques are considered: passive, active, and semiactive. These techniques are applied and evaluated in terms of their ability to reduce the dynamic response of the continuum and the oscillator. A tracking algorithm, that uses absolute accelerations of both the continuum and the oscillator for feedback, is also used to calculate the optimal control action. A illustrative numerical example is taken from civil engineering, and considers a vehicle crossing a bridge. The results indicate that the response of the system with semiactive control approaches that of an active control, while using significantly less power. Copyright © 2005 John Wiley & Sons, Ltd.