Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems

by Vakakis, Alexander F.; Gendelman, Oleg V.; Bergman, Lawrence A.; McFarland, D. Michael; Kerschen, Gaetan

• ISBN13: 9781402091254
• ISBN10: 1402091257
• Format: Hardcover
• Copyright: 2009-01-03
• Publisher: Springer Verlag

Summary

This monograph is the first in the new area of targeted nonlinear energy transfer in mechanical and structural systems. This concept was initially discovered by the two leading authors in 1999, and was further developed exclusively by the entire author group in the last 6 years. Since then, additional groups of researchers in the USA, Russia, UK and France have started working on this concept and applying it.It is estimated that in the years to come, the concept of targeted nonlinear energy transfer will be considered and applied by numerous groups of researchers and practitioners internationally. This monograph presents theoretical methods, computational results and experimental demonstrations of this concept applied to discrete and continuous coupled nonlinear oscillators. Moreover, it demonstrates the wide applicability of targeted nonlinear energy transfer to a wide range of problems, including: (1) Vibration and shock isolation in mechanical systems; (2) Seismic mitigation; (3) Aeroelastic and structural instability suppression; (4) Drilling operations; (5) Packaging devices.This is a groundbreaking and unique volume, providing new design paradigms in a variety of fields.

Table of Contents

Introduction

Background Information

Energy Transfer and Localization in Nonlinear Systems

Nonlinear Normal Modes

Resonances, Transient and Permanent Resonance Captures

Averaging, Multiple Scales and Complexification Techniques

Perspectives on Hardware Development and Experiments

Basic Concepts: Targeted Energy Transfer (TET) in Two-DOF Systems

Configurations of Single-DOF Nonlinear Energy Sinks (NESs)

Numerical Evidence

Periodic and Quasiperiodic Orbits of the Underlying Hamiltonian System

Damped Responses: Transitions and Breakdown of Invariant Manifolds

Response under Shock Excitation

Fundamental Mechanisms for TET

TET in Systems with Transient Chaos

Targeted Energy Transfer (TET) in Multi G++ DOF Systems

Configurations of Multi-DOF NESs

Multi-DOF Primary Linear Structures with SDOF NESs: Resonance Capture Cascades and Multifrequency TET

Multi-DOF Primary Linear Structures with Multi-DOF NESs

Semi G++ Infinite Chains of Particles with Boundary NESs

Passive Nonlinear Energy Transfer in Continuous Elastic Systems With Local NESs (Breakdown of subsections to be developed)

Steady State TET in Systems with Periodic Excitations

Periodic Responses and Broadening of Suppression Bands

Quasiperiodic Responses and Enhancement of Vibration Suppression Capability

Systems with Nonsmooth NESs (Breakdown of subsections to be developed)

Experimental Studies of Passive TET (Breakdown of subsections to be developed)

Suppression of Aeroelastic Instabilities Through TET (Breakdown of subsections to be developed)

Seismic Mitigation Through TET (Breakdown of subsections to be developed)

Use of Passive Targeted Energy Transfer for Vibration and Shock Isolation of Mechanical Systems (Breakdown of subsections to be developed)

Applications of TET in Acoustics (Breakdown of subsections to be developed)

Suppression of Instabilities in Drilling Operations Through Passive Nonlinear Energy Transfer (Breakdown of subsections to be developed)

Further Perspectives (Breakdown of subsections to be developed)

References

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