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 |  موضوع: كتاب Piezoelectric Transducers for Vibration Control & Damping الثلاثاء 07 يناير 2014, 10:58 am | |
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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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