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Download PDF by Alexander F. Vakakis: Advanced Nonlinear Strategies for Vibration Mitigation and

By Alexander F. Vakakis

ISBN-10: 3709102049

ISBN-13: 9783709102046

The papers during this quantity tackle complex nonlinear themes within the basic parts of vibration mitigation and process identity, similar to, equipment of study of strongly nonlinear dyanmical structures; ideas and methodologies for studying advanced, multi-frequency transitions in damped nonlinear responses; new methods for passive vibration mitigation in response to nonlinear distinctive strength move (TET) and the linked proposal of nonlinear power sink (NES); and an summary and evaluation of present nonlinear approach identity recommendations.

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Extra resources for Advanced Nonlinear Strategies for Vibration Mitigation and System Identification

Example text

34 Lawrence A. 9 H56@9 5B8 6 5 89H5=@ C: H<9 /# (, 36 Lawrence A. 9 G=;B=75BH @9J9@G C: G9=GA=7 9B9F;M 5F9 GDF958 :FCA H<9 FGH HC H<9 G97CB8 5B8 H<=F8 @=B95F=N98 AC89G C: H<9 GMGH9A K<=@9 :CF H<9 (CFH

Starosvetsky where y1 and y2 are the displacements of the linear oscillator and the attachment respectively, HO the damping coefficient, H A the amplitude of the external force, and HV a frequency detuning parameter. The parameter H  1 is the small parameter of the problem which scales the coupling between the two oscillators, the damping forces, the amplitude of the external force, the detuning parameter, and the mass of the NES. The coefficients A, O , V are adopted to be of O(1) . The coefficient of the nonlinear term can be modified by proper rescaling of the dependent variables and the forcing amplitude; the value (4H / 3) is chosen for the sake of convenience.

O 6 ,D97=5@ #GGI9 CB H<9 9B7

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Advanced Nonlinear Strategies for Vibration Mitigation and System Identification by Alexander F. Vakakis

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