Harnessing Bistable Structural Dynamics : For Vibration Control, Energy Harvesting and Sensing.

Intro -- Title Page -- Copyright Page -- Contents -- Preface -- Chapter 1 Background and Introduction -- 1.1 Examples of Bistable Structures and Systems -- 1.2 Characteristics of Bistable Structural Dynamics -- 1.2.1 Coexistence of Single-periodic, Steady-state Responses -- 1.2.2 Sensitivity to Initial Conditions -- 1.2.3 Aperiodic or Chaotic Oscillations -- 1.2.4 Excitation Level Dependence -- 1.2.5 Stochastic Resonance -- 1.2.6 Harmonic Energy Diffusion -- 1.3 The Exploitation of Bistable Structural Dynamics -- 1.3.1 Vibration Control -- 1.3.2 Vibration Energy Harvesting -- 1.3.3 Sensing and Detection -- 1.4 Outline of This Book -- References -- Chapter 2 Mathematical Modeling and Analysis of Bistable Structural Dynamics -- 2.1 A Linear Oscillator -- 2.1.1 Free Response -- 2.1.2 Base-excited Response -- 2.2 Stability -- 2.3 A Monostable Nonlinear Oscillator -- 2.4 A Bistable Oscillator -- 2.4.1 Free Response and Stability -- 2.4.2 Base-excited Response -- 2.5 Analytical Methods for Steady-state Dynamics -- 2.5.1 Small Oscillations -- 2.5.2 Large Oscillations -- 2.6 Bifurcations of Bistable Systems -- 2.7 Multiple Degrees-of-Freedom Systems -- 2.8 An Electromechanical Bistable System -- 2.9 Summary -- References -- Chapter 3 Vibration Control -- 3.1 Topic Review -- 3.1.1 Damping -- 3.1.2 Isolation -- 3.1.3 Absorption -- 3.1.4 Summary -- 3.2 High and Adaptable Damping Using Bistable Snap-through Dynamics -- 3.2.1 Model Formulation of the Bistable Device -- 3.2.2 A Metric for Energy Dissipation Capacity -- 3.2.3 Numerical Analysis of the Base-excited Response -- 3.2.4 Energy Dissipation Features of the Dynamic Types -- 3.2.5 Influences Due to Change in Frequency and Initial Conditions -- 3.2.6 Experimental Studies -- 3.2.7 Summary.

3.3 Isolating Structures Under Large Amplitude Excitations Through Activation of Low Amplitude Interwell Dynamics: Criteria for Excitation‐induced Stability -- 3.3.1 Governing Equation Formulation of the Bistable Oscillator -- 3.3.2 Stability of the Analytically Predicted Interwell Dynamics -- 3.3.3 Validation of the Stability Criteria Using Numerical Simulations -- 3.3.4 Experimental Validation of the Stability Criteria -- 3.3.5 Summary -- 3.4 Exploiting Excitation-induced Stability for Dual-stage Vibration Isolation -- 3.4.1 Governing Equation Formulation of a Bistable Dual-stage Vibration Isolator -- 3.4.2 Analytical Solution of the Governing Equations -- 3.4.3 Examining the Stability of Analytical Predictions -- 3.4.4 Comparison of Isolator Performance with a Counterpart Linear Design -- 3.4.5 Explanation of the Valley Response -- 3.4.6 Investigating the Design Parameter Influences -- 3.4.7 Influence of Initial Conditions -- 3.4.8 Prototype Investigations: Numerical and Experimental Validation -- 3.4.9 Summary -- 3.5 Dynamic Stabilization of a Vibration Suspension Platform Attached to an Excited Host Structure -- 3.5.1 Model Formulation of the Bistable Suspension Coupled to a Flexible Structure -- 3.5.2 Analytical Solution of the Governing Equations -- 3.5.3 Description of the Linear Suspension for Comparison -- 3.5.4 Analytical and Numerical Assessment of Key Suspension Dynamics -- 3.5.5 Excitation Condition Influences -- 3.5.6 Experimental Suspension System Platform -- 3.5.7 Experimental and Analytical Comparisons of Isolation Performance -- 3.5.8 Summary -- 3.6 Snap-through Dynamics for Vibration Absorption -- 3.6.1 Model Formulation of a Bistable Vibration Absorber -- 3.6.2 Analytical Investigation of Force Cancellation Performance -- 3.6.3 Experimental Investigation of Force Cancellation Performance -- 3.6.4 Summary -- References.

Chapter 4 Vibration Energy Harvesting -- 4.1 Topic Review -- 4.1.1 Experimental and Numerical Developments in Energy Harvesting with Bistable Devices -- 4.1.2 Analytical Developments in Energy Harvesting with Bistable Devices -- 4.1.3 Summary -- 4.2 Effective and Straightforward Design Guidelines for High Performance Operations -- 4.2.1 Analytical Formulation of Bifurcations Associated with Achieving Snap-through -- 4.2.2 Experimental Validation of the Analytical Premise -- 4.2.3 Derivation of Criteria for Sustaining High Power Generation Performance -- 4.2.4 Evaluation of the Criteria Accuracy -- 4.2.5 Summary -- 4.3 Understanding Superharmonic Energy Diffusion in Bistable Energy Harvesters -- 4.3.1 Bistable Energy Harvester Modeling: Electromechanical Governing Equations -- 4.3.2 Amplitude Response Equations -- 4.3.3 Selection of System Parameters for Investigation -- 4.3.4 Comparison to 1-Term Harmonic Balance Solution -- 4.3.5 Effects of Varying Excitation Amplitude -- 4.3.6 Superharmonic Energy Harvesting Analysis -- 4.3.7 Experimentally Investigating the Contribution of Total Harvested Energy by the Superharmonic Component -- 4.3.8 Summary -- 4.4 Optimal and Robust Energy Harvesting from Realistic Stochastic Excitations Using the Dynamics of Structures Designed Near the Elastic Stability Limit -- 4.4.1 Modeling of Nonlinear Energy Harvester Platform -- 4.4.2 Preliminary Remarks on Accuracy, Comparisons, and Experimentation -- 4.4.3 Noise Bandwidth and Level Influences on Ideal Designs -- 4.4.4 Criticality of Design at the Elastic Stability Limit -- 4.4.5 Impact of Asymmetry on Energy Harvesting Performance -- 4.4.6 Summary -- 4.5 Amplifying the Snap‐through Dynamics of a Bistable Energy Harvester Using an Appended Linear Oscillator -- 4.5.1 Coupled Energy Harvesting System Governing Equations.

4.5.2 Analytical Formulation by the Harmonic Balance Method: 1-Term Prediction -- 4.5.3 Analytical Formulation by the Harmonic Balance Method: 2-Term Prediction -- 4.5.4 Computing the Fundamental and Superharmonic Average Power and Power Density -- 4.5.5 Roles of the Auxiliary Linear Oscillator -- 4.5.6 Roles of the Superharmonic Dynamics in the Energy Harvesting Performance -- 4.5.7 Experimental Investigations of the Multiharmonic Dynamics Enhancement via the Auxiliary Linear Oscillator -- 4.5.8 Summary -- 4.6 A Linear Dynamic Magnifier Approach to Bistable Energy Harvesting -- 4.6.1 Governing Equations for the Bistable Harvester with Linear Dynamic Magnifier -- 4.6.2 Approximate Solution by the Method of Harmonic Balance -- 4.6.3 Analytical and Numerical Investigations on the Roles of the Linear Dynamic Magnifier Stage -- 4.6.3.1 Effect of the Mass Ratio -- 4.6.3.2 Effect of the Frequency Ratio -- 4.6.3.3 Effect of the Electromechanical Coupling -- 4.6.4 Interpreting Frequency Response Characteristics of the Coupled Energy Harvester System -- 4.6.5 Experimental Validations and Investigations -- 4.6.5.1 Effect of Bistable Harvester Electromechanical Coupling -- 4.6.5.2 Effect of Bistable Harvester Mass -- 4.6.6 Summary -- References -- Chapter 5 Sensing and Detection -- 5.1 Topic Review -- 5.1.1 Bistable Microsystems -- 5.1.2 Bifurcation-based Microsystem Applications -- 5.1.3 Summary -- 5.2 Detecting Changes in Structures by Harnessing the Dynamics of Bistable Circuits -- 5.2.1 Bifurcation-based Sensing Platform Based on Bistable Circuitry -- 5.2.2 Bistable Circuit Model Formulation and Validation -- 5.2.3 Investigation of Operational Parameters Suited for Bifurcation-based Sensing -- 5.2.4 Experimental Study of the Proposed Bifurcation-based Sensing Approach -- 5.2.5 Summary.

5.3 Improving Damage Identification Robustness to Noise and Damping Using an Integrated Bistable and Adaptive Piezoelectric Circuit -- 5.3.1 An Integrated Bistable and Adaptive Piezoelectric Circuitry for Bifurcation-based SHM -- 5.3.2 Overview of Damage Identification Using Integrated Adaptive Piezoelectric Circuitry -- 5.3.3 Verification of Bifurcation-based Detection of Frequency Shifts -- 5.3.4 Improving the Accuracy of BB Frequency Shift Detection Through a Greater Number of Evaluations -- 5.3.5 Investigation of Noise Influences for a Mildly Damped Structure -- 5.3.6 Investigation of Noise Influences for a More Highly Damped Structure -- 5.3.7 Summary -- 5.4 Passive Microscale Mass Detection and Progressive Quantification by Exploiting the Bifurcations and Resonant Dynamics of a Two DOF Bistable Sensor -- 5.4.1 Sensor Architecture and Operational Principle Overview -- 5.4.2 Experimental Proof-of-concept Sensor Architecture -- 5.4.3 Model Formulation of the Sensor Architecture -- 5.4.4 Experimental Validation of the Model Formulation and Numerical Examinations of System Operation -- 5.4.5 Examination of Passive Quantification of Mass Adsorption via Sequential Activation of Bifurcations -- 5.4.6 Experimental Comparison of Bifurcation Triggering and Fundamental Mode Natural Frequency Reduction as Consistent Detection Metrics -- 5.4.7 Stochastic Modeling and Noise Sensitivities -- 5.4.8 Operational Parameter Influences for Passive Sensing Strategy -- 5.4.9 Sensor Embodiments and Fabrication Strategies -- 5.4.10 Summary -- References -- Chapter 6 Emerging Themes and Future Directions -- 6.1 Emerging Themes -- 6.1.1 Vibration Control -- 6.1.2 Vibration Energy Harvesting -- 6.1.3 Sensing and Detection -- 6.2 Challenges and Future Outlooks -- 6.2.1 Theoretical Characterization of the Emerging Bistable and Multistable Structural/Material System Concepts.

6.2.2 Application Relevance and Readiness.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.