Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems

1. Front Matter

   Pages i-xii

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2. Introduction

   Pages 1-14

3. Preliminary Concepts, Methodologies and Techniques

   Pages 15-91

4. Nonlinear Targeted Energy Transfer in Discrete Linear Oscillators with Single-DOF Nonlinear Energy Sinks

   Pages 93-302

5. Targeted Energy Transfer in Discrete Linear Oscillators with Multi-DOF NESs

   Pages 303-367

6. Targeted Energy Transfer in Linear Continuous Systems with Single- and Multi-DOF NESs

   Pages 1-160

7. Targeted Energy Transfer in Systems with Periodic Excitations

   Pages 161-228

8. NESs with Non-Smooth Stiffness Characteristics

   Pages 229-309

9. Experimental Verification of Targeted Energy Transfer

   Pages 311-352

10. Suppression of Aeroelastic Instabilities through Passive Targeted Energy Transfer

    Pages 353-570

11. Seismic Mitigation by Targeted Energy Transfer

    Pages 571-617

12. Suppression of Instabilities in Drilling Operations through Targeted Energy Transfer

    Pages 619-643

13. Postscript

    Pages 645-647

14. Back Matter

    Pages 649-655

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This monograph evolved over a period of nine years from a series of papers and presentations addressing the subject of passive vibration control of mechanical s- tems subjected to broadband, transient inputs. The unifying theme is Targeted - ergy Transfer – TET, which represents a new and unique approach to the passive control problem, in which a strongly nonlinear, fully passive, local attachment, the Nonlinear Energy Sink – NES, is employed to drastically alter the dynamics of the primary system to which it is attached. The intrinsic capacity of the properly - signed NES to promote rapid localization of externally applied (narrowband) - bration or (broadband) shock energy to itself, where it can be captured and dis- pated, provides a powerful strategy for vibration control and the opens the pos- bility for a wide range of applications of TET, such as, vibration and shock i- lation, passive energy harvesting, aeroelastic instability (?utter) suppression, se- mic mitigation, vortex shedding control, enhanced reliability designs (for ex- ple in power grids) and others. The monograph is intended to provide a thorough explanation of the analytical, computational and experimental methods needed to formulate and study TET in mechanical and structural systems. Several prac- cal engineering applications are examined in detail, and experimental veri?cation and validation of the theoretical predictions are provided as well. The authors also suggest a number of possible future applications where application of TET seems promising. The authors are indebted to a number of sponsoring agencies.

• Signal
• Wavelet
• algorithm
• algorithms
• calculus
• design
• development
• dynamics
• nonlinear targeted energy transfer
• packaging
• resonance
• simulation
• stability
• verification
• vibration

From the reviews:

 “Two volumes of this monograph present an original approach to the problems of passive vibration control of dissipative mechanical and structural systems subjected to broadband transient inputs, including topics of targeted energy transfer (TET) and nonlinear energy sink (NES). … This monograph is intended for scientists and mechanical and civil engineers who have a general knowledge of analytical dynamics and ordinary and partial differential equations, as well as integro-differential equations.” (Jerzy Gawinecki, Zentralblatt MATH, Vol. 1170, 2009)

“This two-volume monograph addresses the problem of passive vibration control of mechanical systems in which a strongly nonlinear, passive, local attachment is used as a damper. The aim is to provide an in-depth explanation of the analytical, computational, and experimental techniques required to study targeted energy transfer. The applicability of the techniques to a wide range of areas is demonstrated. The intended audience is researchers and engineers interested in one-way energy transfer.” (IEEE Control Systems Magazine, Vol. 30, April, 2010)

• Department of Mechanical Science and Engineering, University of Illinois, Urbana, USA

  A. F. Vakakis, L. A. Bergman, D. M. McFarland

• Mechanics Division, National Technical University of Athens, Athens, Greece

  A. F. Vakakis

• Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Haifa, Israel

  O. V. Gendelman

• Department of Aerospace and Mechanical Engineering, University of Liège, Liège, Belgium

  G. Kerschen

• Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, USA

  Y. S. Lee

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