Vibro-Impact Dynamics - Modeling, Mapping and Applications

Title Page

Preface

Contents

Introduction

Modeling and Analytical Approaches

Introduction

Power-Law Phenomenological Modeling

Zhuravlev Non-smooth Coordinate Transformation

Ivanov Transformation

Hertzian Contact

Point-Wise Mapping

Saw-Tooth-Time-Transformation

Closing Remarks

Mapping of Grazing and C–Bifurcations

Introduction

Grazing Bifurcation

Discontinuity Mappings

Border–Collision or C–Bifurcation

Border Bifurcation in Switching Circuits

Closing Remarks

Single–Degree–of–Freedom Systems

Introduction

Bouncing Ball on a Vibrating Platform and Pile Drivers

Mass–Spring System

Pendulum Oscillating Against One– or Two–Sided Barrier

Ship Impact Interaction with Ice

Closing Remarks

Two– and Multi–Degree–of–Freedom Systems

Introduction

Two–Degree–of–Freedom Systems

Spherical Pendulum under Liquid Flow

Pendulum Simulating Liquid Sloshing Impact

Multi–Degree–of–Freedom Systems

Closing Remarks

Non–Classical Lumped Systems

Introduction

Mechanical Joints

Rub–Impact Dynamics of Rotors

Micro–Actuators

Vocal Folds

Vibration Protection under Vibro–Impact

Other Applications

Closing Remarks

Continuous Systems

Introduction

Strings

Beams

Constrained Pipes Conveying Liquid

Nuclear Reactors and Heat Exchangers

Plates

Slamming of Ocean Waves

Closing Remarks

Stochastic Vibro–Impact Dynamics

Introduction

Beam–Stop under Random Excitation

Cantilever Beam with One–Sided Barrier

Pre–Loaded Vibro–Impact Hertzian Contact

Random Impulsive Excitation

Closing Remarks

Impact Dampers

Introduction

Basic Concept and Applications

Analogue Computer and Numerical Simulations

Analytical Results

Experimental Results

Random Excitation

Design Considerations

Semi–Active and Active Control of Impact Dampers

Closing Remarks

References

Index