By Alexander F. Vakakis, Oleg V. Gendelman, Lawrence A. Bergman, D. Michael McFarland, Gaëtan Kerschen, Young Sup Lee
This monograph is the 1st within the new zone of designated nonlinear strength move in mechanical and structural platforms. this idea used to be firstly came across through the 2 top authors in 1999, and was once extra constructed completely by means of the whole writer crew within the final 6 years. because then, extra teams of researchers within the united states, Russia, united kingdom and France have got to work in this notion and using it. it's predicted that during the years yet to come, the idea that of detailed nonlinear power move may be thought of and utilized by means of quite a few teams ofresearchers and practitioners the world over. This monograph provides theoretical tools, computational effects and experimental demonstrations of this idea utilized to discrete and non-stop coupled nonlinear oscillators. furthermore, it demonstrates the broad applicability of unique nonlinear power move to a variety of difficulties, together with:
- Vibration and surprise isolation in mechanical structures
- Seismic mitigation
- Aeroelastic and structural instability suppression
- Drilling operations
- Packaging units
This is a groundbreaking and exact quantity, delivering new layout paradigms in various fields.
Read Online or Download Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems PDF
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Additional info for Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems
Sample text
Nat. Acad. Sci. USA 102(3), 530–535, 2005. , Evaluation of molecular-beacon, TaqMan, and fluorescence resonance energy transfer probes for detection of antibiotic resistanceconferring single nucleotide polymorphisms in mixed Mycobacterium tuberculosis DNA extracts, J. Clin. Microbiol. 44(10), 3826–3829, 2006. , Hamiltonian Chaos and Fractional Dynamics, Oxford University Press, Oxford, 2005. Chapter 2 Preliminary Concepts, Methodologies and Techniques As mentioned in the Introduction (Chapter 1), the study of targeted energy transfer (TET) in strongly nonlinear and non-conservative oscillators poses some distinct technical challenges, and dictates the use of concepts, formulations, analytical methodologies and computational techniques from different fields of applied mathematics and engineering, such as dynamical systems and bifurcation theory, theory of asymptotic approximations, numerical signal processing, and experimental dynamics.
5, and show that the energy dependencies of the NNM backbone branches and sub- Passive Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems 27 harmonic tongues of NNMs dictate the different forms of possible targeted energy transfers in coupled oscillators with essentially nonlinear attachments. The previous examples highlight the advantages of adopting nonlinear theoretical frameworks (instead of linearized ones) for analyzing nonlinear dynamical responses. As shown previously, there are cases where a nonlinear dynamical system may possess essentially nonlinear modes or can exhibit essentially nonlinear dynamical responses that have no counterparts in linear theory.
In the course of this work we will show that NNM bifurcations can affect in a critical way the dynamics of TET, and that they play an important role when optimizing for robust, fast-scale and strong passive TET from a directly forced linear system to an essentially nonlinear boundary attachment. 1) this system is not symmetric so it can possess only non-similar NNMs. As mentioned previously, this is the generic type of NNMs encountered in dynamical systems, so this example aims to demonstrate certain features of nonsimilar NNMs that are typical for a broad class of nonlinear coupled oscillators.
