Advanced Nonlinear Strategies for Vibration Mitigation and System Identification

✍ Scribed by Alexander F. Vakakis

• Publisher: Springer
• Year: 2010
• Tongue: English
• Leaves: 309
• Series: CISM International Centre for Mechanical Sciences volume 518
• Edition: 1st Edition.
• Category: Library

✦ Synopsis

The papers in this volume address advanced nonlinear topics in the general areas of vibration mitigation and system identification, such as, methods of analysis of strongly nonlinear dyanmical systems; techniques and methodologies for interpreting complex, multi-frequency transitions in damped nonlinear responses; new approaches for passive vibration mitigation based on nonlinear targeted energy transfer (TET) and the associated concept of nonlinear energy sink (NES); and an overview and assessment of current nonlinear system identification techniques.

✦ Table of Contents

Cover......Page 1
CISM COURSES AND LECTURES 518......Page 3
ADVANCED NONLINEAR STRATEGIES
FOR VIBRATION MITIGATION
AND SYSTEM IDENTIFICATION......Page 4
ISBN 9783709102046......Page 5
PREFACE
......Page 6
Table of Contents
......Page 8
1 Introduction......Page 10
2.1 Description......Page 11
2.2 Simulation and Optimization......Page 12
3 Scaled Three-Story Steel Frame Structure withNESs......Page 14
3.1 Characterization of the Three-Story Linear Frame Structure......Page 15
3.2 Simulation and Optimization of the Frame-Single VI NESSystem......Page 17
4 Optimal NES Design for the Northridge Earthquake......Page 21
5 Optimal NES Design for the Kobe Earthquake......Page 25
5.1 Simulation and Optimization of the Frame-VI NES-SmoothNES System......Page 27
6 Experimental Verification......Page 36
6.1 System Incorporating the Single-VI NES......Page 42
6.2 System Incorporating both VI and Smooth NESs......Page 46
7 Summary and Conclusions......Page 49
Bibliography......Page 58
1 Steady State Responses and Genric Bifurcations......Page 62
2 Strongly Modulated Responses (SMRs)......Page 79
3 NESs as Absorbers for Vibration Isolation......Page 101
4 Enhancing the NES dynamics: nonlinear damping......Page 125
5 Concluding Remarks......Page 132
Bibliography......Page 134
1 A literature review......Page 138
1.1 By-passing nonlinearity: linearization......Page 139
1.2 Time-domain methods......Page 140
1.3 Frequency-domain methods......Page 142
1.4 Modal methods......Page 145
1.5 Time-frequency analysis......Page 147
1.6 Black-box modeling......Page 149
1.7 Structural model updating......Page 151
2.1 The conditioned reverse path method......Page 153
2.2 The nonlinear identification through feedback of the outputmethod......Page 161
2.3 The nonlinear resonant decay method......Page 162
2.4 Structural model updating......Page 166
3 Extension of Modal Analysis to NonlinearStructures......Page 170
3.1 Nonlinear Normal Modes: What Are They?......Page 173
3.2 Definition of a Nonlinear Normal Mode......Page 174
3.5 'Linear' Modal Analysis......Page 189
3.6 Nonlinear Modal Analysis......Page 191
Bibliography......Page 198
CISM Courses and Lectures:Resonant energy exchange in nonlinearoscillatory chainsand Limiting Phase Trajectories: from smallto large systems......Page 216
Introduction......Page 217
1 Two weakly coupled nonlinear oscillators......Page 218
2 Resonant energy transfer and energy localization infinite FPU systems with periodic boundary conditionsFPU systems with periodic boundary conditions......Page 224
Interaction of conjugate modes......Page 227
Spatial energy localization in the discrete FPU chains......Page 238
Resume......Page 246
3 Localized nonlinear excitations in carbonnanotubes: analytical study and computer simulation......Page 248
4 Energy transfer III coarse-grained model of DNA......Page 257
Model......Page 258
Dispersion equation......Page 261
Breathers......Page 262
Conclusions......Page 265
Bibliography......Page 266
2 Correction of Measured Force Data for First-OrderTransducer Error Dynamics......Page 268
3 Separating Viscous Damping from the Effect of anExponential Window......Page 270
4.1 Analysis of the SDOF Case......Page 272
4.2 Numerical Example......Page 275
4.3 Extension to a MDOF Structure......Page 276
1 Passive Nonlinear Targeted Energy Transfer (TET)......Page 280
2 TET-based Vibration Mitigation......Page 290
3 Concluding Remarks......Page 307
Bibliography......Page 308