[PDF] Distributed Parameter Vibration Control Of A Cantilever Beam Using A Distributed Parameter Actuator eBook

Author : T. Bailey
Publisher :
Page : 23 pages
File Size : 24,91 MB
Release : 1984
Category :
ISBN :

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An active vibration damper for a cantilever beam was designed using a distributed-parameter actuator and distributed-parameter control theory. The distributed-parameter actuator was a piezoelectric polymer, poly(vinylidene fluoride). Lyapunov's second method for distributed-parameter systems was used to design a control algorithm for the damper. If the angular velocity of the tip of the beam is known, all modes of the beam can be controlled simultaneously. Preliminary testing of the damper was performed on the first mode of the cantilever beam. A linear, constant-gain controller and a nonlinear constant-amplitude controller were compared. The baseline damping of the first mode was eta = 0.003 for large amplitude vibrations (+ or - 2 cm tip displacement) decreasing to eta = 0.001 for small vibrations (+ or - 0.5 mm tip displacement). The constant-gain controller provided more than a factor of 2 increase in the modal damping with a feedback voltage limit of 200 VRMS. With the same voltage limit, the constant-amplitude controller achieved the damping same damping as the constant-gain controller for large vibrations, but increased the damping by a factor of 40 to at least eta = 0.040 for small vibration levels. (Author).

Author : Xueyan Xing
Publisher : Springer Nature
Page : 264 pages
File Size : 32,53 MB
Release : 2021-05-18
Category : Technology & Engineering
ISBN : 9811615322

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This book aims at investigating PDE modeling and vibration control of some typical mechanical distributed parameter systems. Several control methods are proposed to realize stabilization of the closed-loop system with the help of mathematical tools and stability analysis methods. Besides, some common engineering problems, such as input and output constraints, are also involved in the control design. This book offers a comprehensive introduction of mechanical distributed parameter systems, including PDE modeling, controller design and stability analysis. The related fundamental mathematical tools and analytical approaches involving in the PDE modeling and controller are also provided, which broadens its reach to readers.

Author : Seung-Bok Choi
Publisher :
Page : 235 pages
File Size : 20,53 MB
Release : 2016
Category : Technology & Engineering
ISBN : 9781634852081

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Recently, considerable attention has been focused on vibration control technology using "smart" or "intelligent" materials, which have inherently actuating and sensing capabilities. Typically these materials are employed to the vibration control of lumped parameter systems or distributed parameter structures by controlling the mass-distribution, stiffness change and the dissipation change. This may be accomplished by semi-active control or active control methods associated with the smart material actuators. Among many candidates of smart materials, magneto-rheological materials and piezoelectric materials are frequently adopted for vibration control. Magneto-rheological fluid and elastomer are especially utilized for vibration control of lumped parameter systems such as automotive damper, while the piezoelectric materials are used for vibration control of flexible distributed parameter structures with salient characteristics, such as fast response time. This book can be used as a textbook for graduate students or as a reference book for potential researchers who are interested in vibration control utilizing new methods associated with smart materials actuators. This book will provide some novel insights for advanced vibration control technology to many readers.

Author : Herbert E. Rauch
Publisher : Pergamon
Page : 524 pages
File Size : 27,94 MB
Release : 1987
Category : Mathematics
ISBN :

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The increasing requirements for active control of large aerospace, chemical and mechanical systems have focused attention on recent research into the control of distributed parameter systems. The increasing capabilities in computation, instrumentation and actuators have made possible implementation of sophisticated control schemes based on this research. This volume represents state of the art reports on the theory and current and future applications, and should be considered essential reading for all those involved in the production of such systems.