New PDF release: Advanced Nonlinear Strategies for Vibration Mitigation and

By Alexander F. Vakakis

ISBN-10: 3709102049

ISBN-13: 9783709102046

The papers during this quantity tackle complicated nonlinear issues within the basic parts of vibration mitigation and process id, equivalent to, tools of research of strongly nonlinear dyanmical structures; concepts and methodologies for analyzing advanced, multi-frequency transitions in damped nonlinear responses; new techniques for passive vibration mitigation in line with nonlinear specific strength move (TET) and the linked suggestion of nonlinear strength sink (NES); and an summary and evaluation of present nonlinear procedure identity thoughts.

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Additional info for Advanced Nonlinear Strategies for Vibration Mitigation and System Identification

Sample text

Hence, we will be interested in fundamental nonlinear resonances of system (1). Targeted Energy Transfer in Systems with Periodic Excitations 55 After substitution of (2) and (3) into (1) and subsequent averaging aver the fast oscillations of frequency unity, we obtain the following slow–flow (complex modulation) equations: M1  jHV M1  HM2 H A jH M1 M2  2(1 H ) 2(1 H ) 2 M2  O(1 H ) M2 2  jHV M1  HM2 j(1 H ) 2 HA j  M2 M2 M2 M1  2(1 H ) 2(1 H ) 2 2 (4) The system of equations (4) has a complicated structure and cannot be solved analytically.

Bergman 20 20 16 18 16 12 Frequency, Hz 12 8 Frequency, Hz 14 10 8 6 4 4 2 0 0 0 5 10 15 20 25 Time, sec 20 (a) 20 16 18 16 12 Frequency, Hz 12 10 8 8 Frequency, Hz 14 4 6 4 2 0 0 0 5 10 15 20 25 Time, sec 20 (b) 20 16 18 16 12 Frequency, Hz 12 8 Frequency, Hz 14 10 8 4 6 4 0 2 0 0 0 5 5 10 10 15 Time, sec Time, sec 15 20 25 20 25 (c) (%  05J9@9H GD97HF5 C: 7CBHFC@@98 F9@5H=J9 8=GD@579A9BHG :CF H<9 :F5A9 K=H< %C69 CDH=A=N98 /# (, 5HH57<98 HC H<9 FGH CCF GACCH< (, 5H H<9 HCD CCF 5B8 (CFH

Moreover, it is clear that we seek periodic solutions of (1) with dominant frequencies identical to the frequency of the external periodic force, and approximately equal to the eigenfrequency of the linear oscillator (that is, the frequency detuning HV provides a slight frequency mismatch). Hence, we will be interested in fundamental nonlinear resonances of system (1). Targeted Energy Transfer in Systems with Periodic Excitations 55 After substitution of (2) and (3) into (1) and subsequent averaging aver the fast oscillations of frequency unity, we obtain the following slow–flow (complex modulation) equations: M1  jHV M1  HM2 H A jH M1 M2  2(1 H ) 2(1 H ) 2 M2  O(1 H ) M2 2  jHV M1  HM2 j(1 H ) 2 HA j  M2 M2 M2 M1  2(1 H ) 2(1 H ) 2 2 (4) The system of equations (4) has a complicated structure and cannot be solved analytically.

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


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