Feedback control of a vibrating beam by stiffening action
type: Item
instance of: scholarly article
title: Feedback control of a vibrating beam by stiffening action
zbMATH Open document ID: 0654.73037
DOI: 10.1016/0093-6413(88)90034-1
author: S. Adali
author: J. C. jun. Bruch
author: Ibrahim Sadek
author: J. M. Sloss
published in: Mechanics Research Communications
publication date: 1988-01-01T00:00:00Z
review text: In a recent article, \textit{H. H. E. Leipholz} and \textit{M. Abdel-Rohman} [Ing.-Arch. 56, 55-70 (1986; Zbl 0573.73096)] proposed a new feedback control law by which excessive structural vibrations are counteracted by applying forces to stiffen the structure. The advantage of this type of control mechanism is that single actuators only need to be placed at each end of the beam to provide the required stiffening action. In the present study, such a control is applied to a dynamically loaded beam with the objective of keeping its deflection within given bounds. Moreover, a deadband region of off-control is introduced by requiring the control to remain inactive when the deflection is below a certain limit. This type of on-off control, which tolerates oscillations within certain bounds [\textit{L. Meirovitch}, \textit{H. F. Landigham} and \textit{H. Van Oez}, Acta Astronaut. 4, 985-1010 (1977; Zbl 0373.93028)], has the advantage of not using the actuators continuously. The stability of the control scheme is demonstrated in the Appendix. Numerical results are given relating the feedback control to reduction in dynamic deflection as compared to an uncontrolled beam. The amount of force spent during the control process is also determined and its relation to deflection is investigated.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 74K99
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 4068406
zbMATH Keywords: dynamically loaded beam
zbMATH Keywords: deflection within given bounds
zbMATH Keywords: deadband region of off-control
zbMATH Keywords: on-off control
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: 0093-6413(88)90034-1
OpenAlex ID: W1979966862
description: scientific article; zbMATH DE number 4068406