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A CONTROLLABILITY INDEX FOR OPTIMAL DESIGN OF PIEZOELECTRIC ACTUATORS IN VIBRATION CONTROL OF BEAM STRUCTURES

โœ Scribed by Q. WANG; C.M. WANG

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
489 KB
Volume
242
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

This paper addresses the controllability aspect in vibration control of beam structures with piezoelectric actuators. First, we model the beam structure with piezoelectric actuators and establish the corresponding state-coupled equation. Based on the state equation, we propose a controllability index to quantify the controllability factor. This index allows one to estimate the amount of control energy by the piezoelectric actuators to the beam for a given control input. So it can be used as an objective function to determine the optimal locations of piezoelectric actuators for vibration control of beam structures. Some numerical simulations are carried out to illustrate the use of this newly proposed controllability index in seeking out the optimal locations of actuators in simply supported and cantilevered beams with one and two actuators. The index is shown to be adequately sensitive for determining the optimal locations of the actuators.

๐Ÿ“œ SIMILAR VOLUMES

SENSOR/ACTUATOR EQUATIONS FOR CURVED PIE
SENSOR/ACTUATOR EQUATIONS FOR CURVED PIEZOELECTRIC FIBERS AND VIBRATION CONTROL OF COMPOSITE BEAMS USING FIBER MODAL ACTUATORS/SENSORS
โœ D.C. SUN; L. TONG ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 239 KB

Vibration control of the composite beam integrated with curved piezoelectric "bers is investigated. Sensory and actuating equations of the curved piezoelectric "bers embedded in a composite slender beam are derived, and expressed in terms of line integrals. In addition, a new method for designing "b

ELECTROMAGNETIC ACTUATOR AND STACKED PIE
ELECTROMAGNETIC ACTUATOR AND STACKED PIEZOELECTRIC SENSORS FOR CONTROLLING VIBRATIONS OF A MOTOR ON A FLEXIBLE STRUCTURE
โœ S. IKAI; K. OHSAWA; K. NAGAYA; H. KASHIMOTO ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 200 KB

This paper presents an actuator with a sensor for controlling vibrations of machines. It consists of a voice coil-type electromagnetic actuator connected to a piezoelectric sensor and a coil spring. The actuator is used for controlling a motor laid on the beam. The sensor detects the disturbance for

FEEDBACK CONTROL OF VIBRATIONS IN A MICR
FEEDBACK CONTROL OF VIBRATIONS IN A MICROMACHINED CANTILEVER BEAM WITH ELECTROSTATIC ACTUATORS
โœ P.K.C. Wang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 278 KB

The problem of feedback control of vibrations in a micromachined cantilever beam with nonlinear electrostatic actuators is considered. Various forms of nonlinear feedback controls depending on localized spatial averages of the beam velocity and displacement near the beam tip are derived by consideri