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This book formulates and consolidates a coherent understanding of how harnessing the dynamics of bistable structures may enhance the technical fields of vibration control, energy harvesting, and sensing. Theoretical rigor and practical experimental insights are provided in numerous case studies. The three fields have received significant research interest in recent years, particularly in regards to the advantageous exploitation of nonlinearities. Harnessing the dynamics of bistable structures--that is, systems with two configurations of static equilibria--is a popular subset of the recent…mehr
This book formulates and consolidates a coherent understanding of how harnessing the dynamics of bistable structures may enhance the technical fields of vibration control, energy harvesting, and sensing. Theoretical rigor and practical experimental insights are provided in numerous case studies. The three fields have received significant research interest in recent years, particularly in regards to the advantageous exploitation of nonlinearities. Harnessing the dynamics of bistable structures--that is, systems with two configurations of static equilibria--is a popular subset of the recent efforts. This book provides a timely consolidation of the advancements that are relevant to a large body of active researchers and engineers in these areas of understanding and leveraging nonlinearities for engineering applications.
Coverage includes:
Provides a one-source reference on how bistable system dynamics may enhance the aims of vibration control, energy harvesting, and sensing with a breadth of case studies
Includes details for comprehensive methods of analysis, numerical simulation, and experimentation that are widely useful in the assessment of the dynamics of bistable structures
Details approaches to evaluate, by analytical and numerical analysis and experiment, the influences of harmonic and random excitations, multiple degrees-of-freedom, and electromechanical coupling towards tailoring the underlying bistable system dynamics
Establishes how intelligently utilizing bistability could enable technology advances that would be useful in various industries, such as automotive engineering, aerospace systems, microsystems and microelectronics, and manufacturing
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Autorenporträt
Ryan L. Harne, The Ohio State University, USA Professor Harne is an Assistant Professor in the Department of Mechanical and Aerospace Engineering at The Ohio State University. His research expertise and interests are in the areas of vibration, acoustics, mechanics, and nonlinear dynamics, with diverse applications throughout aerospace, automotive, biomedical, ocean, and structural sciences.
Kon-Well Wang, University of Michigan, USA Professor Wang is the Stephen P. Timoshenko Professor and Chair of Mechanical Engineering at the University of Michigan. Professor Wang's main technical interests are in structural dynamics and adaptive structural systems. He has served as the Chief Editor for the ASME Journal of Vibration and Acoustics, and is currently an Associate Editor for the Journal of Intelligent Material Systems and Structures.
Inhaltsangabe
Preface xi
1 Background and Introduction 1
1.1 Examples of Bistable Structures and Systems 1
1.2 Characteristics of Bistable Structural Dynamics 6
1.2.1 Coexistence of Single-periodic, Steady-state Responses 8
1.2.2 Sensitivity to Initial Conditions 14
1.2.3 Aperiodic or Chaotic Oscillations 15
1.2.4 Excitation Level Dependence 16
1.2.5 Stochastic Resonance 21
1.2.6 Harmonic Energy Diffusion 22
1.3 The Exploitation of Bistable Structural Dynamics 24
1.3.1 Vibration Control 24
1.3.2 Vibration Energy Harvesting 27
1.3.3 Sensing and Detection 30
1.4 Outline of This Book 33
References 34
2 Mathematical Modeling and Analysis of Bistable Structural Dynamics 39
2.1 A Linear Oscillator 39
2.1.1 Free Response 39
2.1.2 Base-excited Response 44
2.2 Stability 46
2.3 A Monostable Nonlinear Oscillator 48
2.4 A Bistable Oscillator 50
2.4.1 Free Response and Stability 50
2.4.2 Base-excited Response 54
2.5 Analytical Methods for Steady-state Dynamics 57
2.5.1 Small Oscillations 58
2.5.2 Large Oscillations 62
2.6 Bifurcations of Bistable Systems 67
2.7 Multiple Degrees-of-Freedom Systems 69
2.8 An Electromechanical Bistable System 70
2.9 Summary 71
References 72
3 Vibration Control 75
3.1 Topic Review 75
3.1.1 Damping 77
3.1.2 Isolation 81
3.1.3 Absorption 83
3.1.4 Summary 86
3.2 High and Adaptable Damping Using Bistable Snap-through Dynamics 86
3.2.1 Model Formulation of the Bistable Device 87
3.2.2 A Metric for Energy Dissipation Capacity 89
3.2.3 Numerical Analysis of the Base-excited Response 89
3.2.4 Energy Dissipation Features of the Dynamic Types 90
3.2.5 Influences Due to Change in Frequency and Initial Conditions 93
3.2.6 Experimental Studies 96
3.2.7 Summary 100
3.3 Isolating Structures Under Large Amplitude Excitations Through Activation of Low Amplitude Interwell Dynamics: Criteria for Excitation-induced Stability 100
3.3.1 Governing Equation Formulation of the Bistable Oscillator 101
3.3.2 Stability of the Analytically Predicted Interwell Dynamics 102
3.3.3 Validation of the Stability Criteria Using Numerical Simulations 105
3.3.4 Experimental Validation of the Stability Criteria 109
3.3.5 Summary 115
3.4 Exploiting Excitation-induced Stability for Dual-stage Vibration Isolation 115
3.4.1 Governing Equation Formulation of a Bistable Dual-stage Vibration Isolator 116
3.4.2 Analytical Solution of the Governing Equations 118
3.4.3 Examining the Stability of Analytical Predictions 119
3.4.4 Comparison of Isolator Performance with a Counterpart Linear Design 119
3.4.5 Explanation of the Valley Response 122
3.4.6 Investigating the Design Parameter Influences 123
3.4.7 Influence of Initial Conditions 126
3.4.8 Prototype Investigations: Numerical and Experimental Validation 131
3.4.9 Summary 136
3.5 Dynamic Stabilization of a Vibration Suspension Platform Attached to an Excited Host Structure 137
3.5.1 Model Formulation of the Bistable Suspension Coupled to a Flexible Structure 138
3.5.2 Analytical Solution of the Governing Equations 140
3.5.3 Description of the Linear Suspension for Comparison 141
3.5.4 Analytical and Numerical Assessment of Key Suspension Dynamics 142
1.2 Characteristics of Bistable Structural Dynamics 6
1.2.1 Coexistence of Single-periodic, Steady-state Responses 8
1.2.2 Sensitivity to Initial Conditions 14
1.2.3 Aperiodic or Chaotic Oscillations 15
1.2.4 Excitation Level Dependence 16
1.2.5 Stochastic Resonance 21
1.2.6 Harmonic Energy Diffusion 22
1.3 The Exploitation of Bistable Structural Dynamics 24
1.3.1 Vibration Control 24
1.3.2 Vibration Energy Harvesting 27
1.3.3 Sensing and Detection 30
1.4 Outline of This Book 33
References 34
2 Mathematical Modeling and Analysis of Bistable Structural Dynamics 39
2.1 A Linear Oscillator 39
2.1.1 Free Response 39
2.1.2 Base-excited Response 44
2.2 Stability 46
2.3 A Monostable Nonlinear Oscillator 48
2.4 A Bistable Oscillator 50
2.4.1 Free Response and Stability 50
2.4.2 Base-excited Response 54
2.5 Analytical Methods for Steady-state Dynamics 57
2.5.1 Small Oscillations 58
2.5.2 Large Oscillations 62
2.6 Bifurcations of Bistable Systems 67
2.7 Multiple Degrees-of-Freedom Systems 69
2.8 An Electromechanical Bistable System 70
2.9 Summary 71
References 72
3 Vibration Control 75
3.1 Topic Review 75
3.1.1 Damping 77
3.1.2 Isolation 81
3.1.3 Absorption 83
3.1.4 Summary 86
3.2 High and Adaptable Damping Using Bistable Snap-through Dynamics 86
3.2.1 Model Formulation of the Bistable Device 87
3.2.2 A Metric for Energy Dissipation Capacity 89
3.2.3 Numerical Analysis of the Base-excited Response 89
3.2.4 Energy Dissipation Features of the Dynamic Types 90
3.2.5 Influences Due to Change in Frequency and Initial Conditions 93
3.2.6 Experimental Studies 96
3.2.7 Summary 100
3.3 Isolating Structures Under Large Amplitude Excitations Through Activation of Low Amplitude Interwell Dynamics: Criteria for Excitation-induced Stability 100
3.3.1 Governing Equation Formulation of the Bistable Oscillator 101
3.3.2 Stability of the Analytically Predicted Interwell Dynamics 102
3.3.3 Validation of the Stability Criteria Using Numerical Simulations 105
3.3.4 Experimental Validation of the Stability Criteria 109
3.3.5 Summary 115
3.4 Exploiting Excitation-induced Stability for Dual-stage Vibration Isolation 115
3.4.1 Governing Equation Formulation of a Bistable Dual-stage Vibration Isolator 116
3.4.2 Analytical Solution of the Governing Equations 118
3.4.3 Examining the Stability of Analytical Predictions 119
3.4.4 Comparison of Isolator Performance with a Counterpart Linear Design 119
3.4.5 Explanation of the Valley Response 122
3.4.6 Investigating the Design Parameter Influences 123
3.4.7 Influence of Initial Conditions 126
3.4.8 Prototype Investigations: Numerical and Experimental Validation 131
3.4.9 Summary 136
3.5 Dynamic Stabilization of a Vibration Suspension Platform Attached to an Excited Host Structure 137
3.5.1 Model Formulation of the Bistable Suspension Coupled to a Flexible Structure 138
3.5.2 Analytical Solution of the Governing Equations 140
3.5.3 Description of the Linear Suspension for Comparison 141
3.5.4 Analytical and Numerical Assessment of Key Suspension Dynamics 142
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