In this paper, passive and hybrid control devices are used to improve the dynamic response of a tall tower. A pendulum attached to the top of the tower is used as a vibration absorber. The tower is modeled as a bar with variable cross-section with concentrated masses. First, the vibration modes and frequencies of the tower are obtained analytically. The primary structure and absorber together constitute a coupled system which is discretized as a two degrees of freedom nonlinear system, using the normalized eigenfunctions and the Rayleigh-Ritz method. In order to improve the effectiveness of the control during the transient response, a hybrid control system is suggested. The added control force is implemented as a non-linear variable stiffness device based on position and velocity feedback. The obtained results show that this strategy of nonlinear control is attractive, has a good potential and can be used to minimize the response of slender structures under various types of excitation.
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© 2007 Springer
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Gonçalves, P.B., Orlando, D. (2007). Influence of a Pendulum Absorber on the Nonlinear Behavior and Instabilities of a Tall Tower. In: Hu, H.Y., Kreuzer, E. (eds) Iutam Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty. IUTAM Book Series, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6332-9_30
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DOI: https://doi.org/10.1007/978-1-4020-6332-9_30
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6331-2
Online ISBN: 978-1-4020-6332-9
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