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أخوانى فى الله أحضرت لكم كتاب
Piezoelectric Transducers for Vibration Control & Damping S.O. Reza Moheimani and Andrew J. Fleming
ويتناول الموضوعات الأتية :
1 Introduction1 1.1 PiezoelectricTransducers1 1.2 VibrationControl 2 1.3 PiezoelectricShunt Damping 3 1.4 Hysteresis 5 1.5 Applications 6 2 Fundamentals of Piezoelectricity9 2.1 Introduction 9 2.2 Historyof Piezoelectricity 10 2.3 PiezoelectricCeramics 11 2.4 PiezoelectricConstitutiveEquations 13 2.5 PiezoelectricCoefficients 18 2.5.1 Piezoelectric Constantdij 18 2.5.2 Piezoelectric Constantgij 19 2.5.3 Elastic ComplianceSij 20 2.5.4 Dielectric Coefficient,eij 20 2.5.5 Piezoelectric Coupling Coefficientkij 20 2.6 PiezoelectricSensor 22 2.7 PiezoelectricActuator 23 2.8 Piezoelectric2DActuation 26 2.9 Dynamicsof a PiezoelectricLaminateBeam 29 2.10 Active and Macro Fiber Composite Transducers 33 3 Feedback Control of Structural Vibration 37 3.1 Introduction 37 3.2 StructuralPropertiesof ResonantSystems 38 3.3 Modeling andSystemIdentification 40 3.3.1 AnalyticModeling40 3.3.2 FiniteElement Analysis 41 3.3.3 SystemIdentification 41 xiv Contents 3.4 VelocityFeedback 43 3.5 ResonantControllers 45 3.6 PositivePositionFeedback 48 3.7 Experimental Implementation of PPF Control on an Active Structure52 3.7.1 ExperimentalSetup 52 3.7.2 SystemIdentification 54 3.7.3 PPFControllerDesign 57 3.8 Self-sensing Techniques 66 4 Piezoelectric Shunt Damping 73 4.1 Introduction 73 4.2 PassiveShunt Damping 74 4.2.1 PassivityDefined 74 4.2.2 Linear Techniques 76 4.2.3 ResonantSingle-modeShunt Circuits 76 4.2.4 Resonant Multi-mode Shunt Circuits78 4.2.5 Non-linear Techniques 83 4.3 ActiveShunt Damping 84 4.4 Implementationof Resonant Shunt Circuits85 4.4.1 VirtualCircuits 85 4.4.2 SyntheticAdmittance 86 4.5 ExperimentalDemonstration 89 5 Feedback Structure of Piezoelectric Shunt Damping Systems93 5.1 Introduction 93 5.2 FeedbackInterpretations 94 5.3 FeedbackStructureof PassiveShunts 97 5.4 Reduction of Inductance Requirements by Adding a Parallel Capacitor 100 5.5 ResonantShunts 103 5.6 Propertiesof ResonantShunts 106 5.7 ExperimentalImplementationof ResonantShunts .107 5.8 HybridControl116 6 Instrumentation.119 6.1 Introduction 119 6.2 StrainVoltageMeasurement .119 6.3 VoltageAmplifiers 122 6.3.1 Linear Amplifiers122 6.3.2 Switched-modeImplementation .124 6.4 CurrentAmplifiers.125 6.5 ChargeAmplifiers .127 6.6 SyntheticAdmittance130 Contents xv 6.7 Switched-modeSyntheticAdmittance131 6.7.1 DeviceOperation132 6.7.2 BoostConfiguration .132 6.7.3 Efficiency 133 6.7.4 Practical Advantages and Considerations 134 6.7.5 ExperimentalApplication 136 6.8 SignalProcessing137 6.8.1 ImpedanceTransformations.139 6.8.2 AdmittanceTransformations140 6.8.3 Example:DigitalSynthesis .142 6.8.4 Example:Analog Synthesis .142 7 Multi-port Shunts 145 7.1 Introduction 145 7.2 Multi-port PiezoelectricShunt 146 7.3 Stability of the Shunted System 149 7.4 MultivariableShunts.152 7.5 Decentralized Shunts 154 7.6 ExperimentalResults 155 7.6.1 ExperimentalSetup .155 7.6.2 SystemIdentification 157 7.6.3 Implementation of a Multi-port Synthetic Admittance 159 7.6.4 Implementing the Admittance Transfer Function 160 7.6.5 Results.160 8 Adaptive Shunt Damping165 8.1 Introduction 165 8.2 AdaptationLaw.166 8.2.1 Adaptive Single-modeRLShunt.166 8.2.2 Adaptive ResonantMulti-mode Shunts.168 8.3 Experiments 170 8.3.1 Implementation .170 8.3.2 Test Structure 170 8.3.3 Two-modeDamping .172 8.3.4 Four-modeDamping.173 9 Negative Capacitor Shunt Impedances.177 9.1 Introduction 177 9.2 NegativeCapacitorShuntControllers 178 9.3 Implementation .180 9.3.1 NegativeImpedanceConverter180 9.3.2 SyntheticAdmittance181 9.4 ExperimentalApplication 181 9.4.1 Controlof a PlateStructure 181 9.4.2 Controlof a BeamStructure183 xvi Contents 10 Optimal Shunt Synthesis 187 10.1 Introduction 187 10.2 AbstractedModelof ShuntedSystems .188 10.3 ExperimentalApparatus .190 10.4 InstrumentationElectronics.192 10.5 ActiveS-impedanceShunt Design .193 10.5.1 Modeling andParameterIdentification.193 10.5.2H∞S-impedanceDesign .196 11 Dealing with Hysteresis203 11.1 Introduction 203 11.2 Hysteresis 204 11.3 ChargeControlversus VoltageControl.206 11.4 Resonant Controllers for Charge-driven Piezoelectric Actuators 211 11.5 Experimental Implementation of a Multivariable Resonant Controller .212 11.5.1 TheHysteresisEffect 213 11.5.2 State-space Model of the Composite System 215 11.5.3 Structureof theState-spaceModel 216 11.5.4 SystemIdentification 217 11.5.5 ControllerDesign220 11.6 ExperimentalResults 222 11.7 SomeObservations 223 12 Nanopositioning.229 12.1 Introduction 229 12.2 Scanning ProbeMicroscopes229 12.3 PiezoelectricTubeScanners.233 12.4 Shunt CircuitModeling 237 12.4.1 Open-loop237 12.4.2 Shunt Damping 239 12.5 Implementation .245 12.5.1 Grounded-load Charge Amplifier 245 12.6 ExperimentalResults 247 12.6.1 TubeDynamics .248 12.6.2 Amplifier Performance .249 12.6.3 Shunt Damping Performance250 References.257 Index.
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