Piezoelectric Shells

Exploiting new advanced structures and electromechanical systems, e. g. , adaptive structures, high-precision systems, micro electromechanical systems, distributed sensors/actuators, precision manipulation and controls, etc. , has been becoming one of the mainstream research and development activities (structure & motion) in recent years. These new systems and devices could bring a new technological revolution in modern industries and further, directly or indirectly, impact human life. In the search for and research in innovative technologies, it is proved that piezoelectric materials are 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 micro sensors/actuators to large space structures in addition to those relatively conventional applications, e. g. , sensors, actuators, hydrophones, precision manipulators, mobile robots, micro motors, etc. There have been a few books on piezoelectricity published in the past; however, a unified presentation of piezoelectric shells and distributed senSing/control applications is still lacking. This book is intended to fill the gap and to pro~de practising engineers and researchers with an introduction to advanced piezoelectric shell theories and distributed sensor/actuator technologies in structural identification and control. This book represents a collection of the author's recent research and development on piezoelectric shells and related applications to distributed measurement and control of continuaj it reflects six best-paper awards, including [ xviii] • Contents. two ASME Best-Paper Awards in recent years.

Inhalt
1 Introduction.- 1.1 Piezoelectric Continua.- 1.2 Distributed Sensing and Vibration Controls.- 1.3 Remarks.- 2 Piezoelectric Shell Vibration Theory.- 2.1 Fundamentals.- 2.2 Thick Piezoelectric Shell Continuum.- 2.3 Thick Piezoelectric Shell.- 2.4 Thin Piezoelectric Shell.- 2.5 Thin Elastic Shell.- 2.6 Summary.- 3 Common Piezoelectric Continua and Active Piezoelectric Structures.- 3.1 Reduction Procedures.- 3.2 Piezoelectric Plates.- 3.3 Thin Piezoelectric Shell of Revolution.- 3.4 Active Piezoelectric Shell Structures.- 3.5 Control of Active Piezoelectric Structures.- 3.6 Distributed Convolving Actuators and Controls.- 3.7 Frequency Control of a Piezoelectric Bimorph Beam.- 3.8 Damping Control of Piezoelectric Cylindrical Shells.- 3.9 Summary.- 3.10 Appendix.- 4 Distributed Sensing and Control of Elastic Shells.- 4.1 System Definitions.- 4.2 Distributed Sensing of Elastic Shells.- 4.3 Distributed Vibration Control of Shells.- 4.4 State Equation.- 4.5 Examples.- 4.6 Summary.- 4.7 Appendix.- 5 MultiLayered Shell Actuators.- 5.1 A MultiLayered Shell with Distributed Actuators.- 5.2 A MultiLayered Plate Actuator.- 5.3 A Piezoelectric/Elastic Beam.- 5.4 Summary.- 6 Boundary Control Of Beams.- 6.1 System Definition: Beam with Sensor and Actuator.- 6.2 Displacement Feedback Control.- 6.3 Velocity Feedback Control.- 6.4 Summary.- 7 Distributed Control of Plates with Segmented Sensors and Actuators.- 7.1 Mathematical Modeling.- 7.2 OnePiece Symmetrically Distributed Sensor/Actuator.- 7.3 Segmentation of Distributed Sensors and Actuators.- 7.4 Transient Responses.- 7.5 SteadyState Responses.- 7.6 Evaluation of Controlled Responses.- 7.7 Numerical Solutions.- 7.8 Summary and Conclusions.- 7.9 Appendix.- 8 Convolving Shell Sensors and Actuators Applied to Rings.- 8.1Sensor Mechanics.- 8.2 Circular Rings.- 8.3 Distributed Convolving Ring Sensors.- 8.4 Evaluation of Distributed Ring Sensors.- 8.5 Distributed Vibration Controls.- 8.6 Distributed Convolving Actuators and Controls.- 8.7 Distributed Convolving Ring Actuators.- 8.8 Evaluation of Convolving Ring Actuators.- 8.9 Summary and Conclusions.- 9 Sensing and Control of Cylindrical Shells.- 9.1 Cylindrical Shell.- 9.2 Distributed Sensors for Cylindrical Shells.- 9.3 Evaluation of Distributed Cylindrical Shell Sensors.- 9.4 TwoDimensional Distributed Actuators for Cylindrical Shells.- 9.5 Evaluation of Distributed Actuators.- 9.6 Summary and Conclusions.- 10 Finite Element Formulation and Analyses.- 10.1 Piezoelectric Finite Element Formulation.- 10.2 Eigenvalue Analysis.- 10.3 Structural Sensing and Control.- 10.4 State Variable Transformation.- 10.5 Matrix Condensation and Reduction.- 10.6 System Aggregation for Control of LargeScale Systems.- 10.7 Case Studies.- 10.8 Summary and Conclusions.- 10.9 Appendix.- Appendix Linear Piezoelectricity Theory.- Apx.1 Definitions.- Apx.2 Linear Piezoelectricity Relations.- Apx.3 Elastic, Piezoelectric, and Dielectric Relations.