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Preface; Contents; Contributors; 1 Road Tanker Dynamics Interacting with Liquid Sloshing Dynamics; 1.1 Introduction; 1.2 Sloshing Modal Analysis; 1.2.1 Circular Horizontal Cylinders; 1.2.2 Elliptic Horizontal Tanks; 1.2.3 Equivalent Mechanical Models; 1.3 Rollover of Road Tankers; 1.3.1 Overturning Metrics; 1.3.2 Quasi-Dynamic Approach; 1.3.3 Rollover of Road Tankers; 1.3.4 International Standards of Roll Threshold and Drivers Training; 1.3.5 Directional Stability and Dynamics; 1.4 Coupled Dynamics of Liquid-Tanker Systems; 1.4.1 Overview; 1.4.2 Liquid-Vehicle Coupling During Braking.
1.5 Conclusions and Closing RemarksReferences; 2 Simulation of Abrasive Wear with a Coupled Approach Considering Particles of Different Sizes; 2.1 Introduction; 2.2 Simulation Method; 2.2.1 Smoothed Particle Hydrodynamics Method; 2.2.2 Discrete Element Method; 2.2.3 DEM-SPH Coupling; 2.2.4 Transport Equation; 2.2.5 Loading with Different Particle Sizes; 2.2.6 Abrasive Wear Model; 2.3 Results for the Pelton Turbine; 2.4 Conclusion; References; 3 Energy Harvesting in a Hybrid Piezoelectric-Electromagnetic Harvester with Time Delay; 3.1 Introduction; 3.2 Harvester System and Powers Output.
3.3 Main Results3.4 Conclusions; References; 4 Modeling and Parametric Analysis of a Piezoelectric Flexoelectric Nanoactuator; 4.1 Introduction; 4.2 Problem Formulation; 4.3 Free Vibration Analysis; 4.4 Static Response; 4.5 Dynamic Response; 4.6 Electromechanical Coupling Coefficient; 4.6.1 Stored Energy at SC Conditions; 4.6.2 Stored Energy at OC Conditions; 4.6.3 Approximation of the Electromechanical Coupling Coefficient; 4.7 Conclusion; References; 5 Dynamics of a Chain with Four Particles, Alternating Masses and Nearest-Neighbor Interaction; 5.1 Introduction.
5.2 Periodic FPU Chains with 4 Alternating Masses5.3 The α-Chain; 5.3.1 The α-Chain for Large Mass m; 5.3.2 Second Order Approximation for the α-Chain; 5.4 The β-Chain for Large Mass m; 5.4.1 Second Order Approximation for the β-Chain; 5.5 Stability of the Periodic Solutions for Large Mass m; 5.6 The Global Picture for Large Mass; 5.7 Conclusions and Discussion; References; 6 Linear Versus Nonlinear Stability in Hamiltonian Systems; 6.1 Introduction; 6.2 Two Degrees of Freedom; 6.3 Counter-Examples for More Degrees of Freedom; 6.3.1 The Influence of Quartic Terms.
6.3.2 Instability by the Presence of Mathieu-Tongues6.4 Application to a Chain with 4 Interacting Particles; References; 7 Dynamics and Saturation Control of Rotating Composite Beam with Embedded Nonlinear Piezoelectric Actuator; 7.1 Introduction; 7.2 Structural Model and Governing Equations; 7.3 Hub-Beam System Dynamics; 7.3.1 Analysis of a Linear Model; 7.3.2 Analysis of a Nonlinear Model; 7.3.3 Nonlinear Model with Control; 7.4 Conclusions and Final Comments; References8 Nonlinear Vibrations of a Shallow Arch Subject to Resonant and Low Harmonic Frequency Excitations Under 1:1 Internal Resonance.
1.5 Conclusions and Closing RemarksReferences; 2 Simulation of Abrasive Wear with a Coupled Approach Considering Particles of Different Sizes; 2.1 Introduction; 2.2 Simulation Method; 2.2.1 Smoothed Particle Hydrodynamics Method; 2.2.2 Discrete Element Method; 2.2.3 DEM-SPH Coupling; 2.2.4 Transport Equation; 2.2.5 Loading with Different Particle Sizes; 2.2.6 Abrasive Wear Model; 2.3 Results for the Pelton Turbine; 2.4 Conclusion; References; 3 Energy Harvesting in a Hybrid Piezoelectric-Electromagnetic Harvester with Time Delay; 3.1 Introduction; 3.2 Harvester System and Powers Output.
3.3 Main Results3.4 Conclusions; References; 4 Modeling and Parametric Analysis of a Piezoelectric Flexoelectric Nanoactuator; 4.1 Introduction; 4.2 Problem Formulation; 4.3 Free Vibration Analysis; 4.4 Static Response; 4.5 Dynamic Response; 4.6 Electromechanical Coupling Coefficient; 4.6.1 Stored Energy at SC Conditions; 4.6.2 Stored Energy at OC Conditions; 4.6.3 Approximation of the Electromechanical Coupling Coefficient; 4.7 Conclusion; References; 5 Dynamics of a Chain with Four Particles, Alternating Masses and Nearest-Neighbor Interaction; 5.1 Introduction.
5.2 Periodic FPU Chains with 4 Alternating Masses5.3 The α-Chain; 5.3.1 The α-Chain for Large Mass m; 5.3.2 Second Order Approximation for the α-Chain; 5.4 The β-Chain for Large Mass m; 5.4.1 Second Order Approximation for the β-Chain; 5.5 Stability of the Periodic Solutions for Large Mass m; 5.6 The Global Picture for Large Mass; 5.7 Conclusions and Discussion; References; 6 Linear Versus Nonlinear Stability in Hamiltonian Systems; 6.1 Introduction; 6.2 Two Degrees of Freedom; 6.3 Counter-Examples for More Degrees of Freedom; 6.3.1 The Influence of Quartic Terms.
6.3.2 Instability by the Presence of Mathieu-Tongues6.4 Application to a Chain with 4 Interacting Particles; References; 7 Dynamics and Saturation Control of Rotating Composite Beam with Embedded Nonlinear Piezoelectric Actuator; 7.1 Introduction; 7.2 Structural Model and Governing Equations; 7.3 Hub-Beam System Dynamics; 7.3.1 Analysis of a Linear Model; 7.3.2 Analysis of a Nonlinear Model; 7.3.3 Nonlinear Model with Control; 7.4 Conclusions and Final Comments; References8 Nonlinear Vibrations of a Shallow Arch Subject to Resonant and Low Harmonic Frequency Excitations Under 1:1 Internal Resonance.