Piezoelectric Shells: Distributed Sensing and Control of Continua

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The exploitation of new, advanced structures and electromechanical systems has been one of the mainstream research and development activities in recent years. In the search for and research into innovative technologies, piezoelectric materials are proved to be very versatile in both sensor and actuator applications. Consequently, piezoelectric technology has been widely applied to a large number of industrial applications and devices, varying from thin-film microsensors/actuators to large space structures, in ...

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Overview

The exploitation of new, advanced structures and electromechanical systems has been one of the mainstream research and development activities in recent years. In the search for and research into innovative technologies, piezoelectric materials are proved to be very versatile in both sensor and actuator applications. Consequently, piezoelectric technology has been widely applied to a large number of industrial applications and devices, varying from thin-film microsensors/actuators to large space structures, in addition to relatively conventional applications, e.g. sensors, actuators, mobile robots, micromotors, etc. This monograph gives a unified presentation of piezoelectric shells and the distributed sensing/control applications. Important aspects of the book are its introduction of the generic approach of piezoelectric shells and the fundamental electromechanics of distributed piezoelectric sensors/actuators in structural controls. The book is divided into two major parts. The first part focuses on piezoelectric shell continua; the second part on distributing sensing and control of elastic continua. The exposition will provide practising engineers and researchers with an introduction to advanced piezoelectric shell theories and distributed sensor/actuator technologies in structural identification and control. The book can also be used as a textbook for graduate students.

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Editorial Reviews

Booknews
Piezoelectric technology has been widely applied to a large number of industrial applications and devices, varying from thin-film micro sensors/actuators to large space structures, in addition to the relatively conventional applications of sensors, actuators, mobile robots, and micro motors. Chapters discuss piezoelectric shell vibration theory, common piezoelectric continual and active piezoelectric structures, distributed sensing and control of elastic shells, multi-layered shell actuators, boundary control of beams, distributed control of plates, and finite element formulation and analysis. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Preface
Acknowledgement
Ch. 1 Introduction 1
1.1 Piezoelectric Continua 3
1.2 Distributed Sensing and Vibration Controls 4
Ch. 2 Piezoelectric Shell Vibration Theory 13
2.2 Thick Piezoelectric Shell Continuum 23
2.3 Thick Piezoelectric Shell 38
2.4 Thin Piezoelectric Shell 48
2.5 Thin Elastic Shell 56
Ch. 3 Common Piezoelectric Continua and Active Piezoelectric Structures 63
3.1 Reduction Procedures 64
3.2 Piezoelectric Plates 66
3.3 Thin Piezoelectric Shell of Revolution 71
3.4 Active Piezoelectric Shell Structures 78
3.5 Control of Active Piezoelectric Structures 83
3.6 Distributed Convolving Actuators and Controls 93
3.7 Frequency Control of a Piezoelectric Bimorph Beam 96
3.8 Damping Control of Piezoelectric Cylindrical Shells 105
Ch. 4 Distributed Sensing and Control of Elastic Shells 115
4.2 Distributed Sensing of Elastic Shells 122
4.3 Distributed Vibration Control of Shells 130
4.4 State Equation 138
Ch. 5 Multi-Layered Shell Actuators 155
5.1 A Multi-Layered Shell with Distributed Actuators 156
5.2 A Multi-Layered Plate Actuator 175
5.3 A Piezoelectric/Elastic Beam 178
Ch. 6 Boundary Control of Beams 187
6.1 System Definition: Beam with Sensor and Actuator 188
6.2 Displacement Feedback Control 190
6.3 Velocity Feedback Control 202
Ch. 7 Distributed Control of Plates with Segmented Sensors and Actuators 227
7.1 Mathematical Modeling 229
7.2 One-Piece Symmetrically Distributed Sensor/Actuator 238
7.3 Segmentation of Distributed Sensors and Actuators 245
7.4 Transient Responses 251
7.5 Steady-State Responses 253
7.6 Evaluation of Controlled Responses 254
7.7 Numerical Solutions 257
Ch. 8 Convolving Shell Sensors and Actuators Applied to Rings 283
8.1 Sensor Mechanics 285
8.2 Circular Rings 294
8.3 Distributed Convolving Ring Sensors 305
8.4 Evaluation of Distributed Ring Sensors 309
8.5 Distributed Vibration Controls 317
8.6 Distributed Convolving Actuators and Controls 321
8.7 Distributed Convolving Ring Actuators 324
8.8 Evaluation of Convolving Ring Actuators 329
Ch. 9 Sensing and Control of Cylindrical Shells 337
9.1 Cylindrical Shell 338
9.2 Distributed Sensors for Cylindrical Shells 358
9.3 Evaluation of Distributed Cylindrical Shell Sensors 368
9.4 Two-Dimensional Distributed Actuators for Cylindrical Shells 380
9.5 Evaluation of Distributed Actuators 388
Ch. 10 Finite Element Formulation and Analyses 405
10.1 Piezoelectric Finite Element Formulation 406
10.2 Eigenvalue Analysis 416
10.3 Structural Sensing and Control 417
10.4 State Variable Transformation 424
10.5 Matrix Condensation and Reduction 427
10.6 System Aggregation for Control of Large-Scale Systems 430
10.7 Case Studies 433
Appendix: Linear Piezoelectricity Theory 457
Index 463
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