A refined nonlinear vibration absorber

2000 ◽  
Vol 42 (3) ◽  
pp. 537-560 ◽  
Author(s):  
P. Frank Pai ◽  
Mark J. Schulz
Keyword(s):  
Nonlinear Vibration ◽  
Vibration Absorber ◽  
Nonlinear Vibration Absorber

Forced Vibration of Systems With Nonlinear, Nonsymmetrical Characteristics

1957 ◽  
Vol 24 (3) ◽  
pp. 435-439
Author(s):  
S. Mahalingam
Keyword(s):  
Approximate Solution ◽  
Linear System ◽  
Nonlinear Vibration ◽  
Forced Vibration ◽  
Free Vibrations ◽  
Frequency Function ◽  
Vibration Absorber ◽  
Single Degree Of Freedom ◽  
Nonlinear Vibration Absorber ◽  
Single Degree

Abstract A one-term approximate solution is given for the amplitudes of steady forced vibration of a single-degree-of-freedom system with a nonlinear (nonsymmetrical) spring characteristic. The method is similar to that of Martienssen (1), but the construction uses a modified curve (or “frequency function”) in place of the actual spring characteristic, the curve being so chosen that it gives the correct frequency for free vibrations. The method is extended to deal with a nonlinear vibration absorber fitted to a linear system.

Broadening the frequency bandwidth of a finite extensibility nonlinear vibration absorber by exploiting its internal resonances

2020 ◽  
Vol 102 (3) ◽  
pp. 1239-1270
Author(s):  
Alex Elías-Zúñiga ◽  
Luis Manuel Palacios-Pineda ◽  
Daniel Olvera-Trejo ◽  
Oscar Martínez-Romero
Keyword(s):  
Nonlinear Vibration ◽  
Vibration Absorber ◽  
Frequency Bandwidth ◽  
Internal Resonances ◽  
Nonlinear Vibration Absorber ◽  
Finite Extensibility

Integration of a Nonlinear Vibration Absorber and Levitation Magnetoelectric Energy Harvester for Whole-Spacecraft Systems

2019 ◽  
Vol 32 (3) ◽  
pp. 298-309 ◽  
Author(s):  
Ye-Wei Zhang ◽  
Shi-Lei Wang ◽  
Zhi-Yu Ni ◽  
Zhi-Wei Fang ◽  
Jian Zang ◽  
...  
Keyword(s):  
Nonlinear Vibration ◽  
Energy Harvester ◽  
Vibration Absorber ◽  
Nonlinear Vibration Absorber

306 The Dynamics of a Nonlinear Vibration Absorber

2000 ◽  
Vol 2000 (0) ◽  
pp. 77-78
Author(s):  
Takao YUKI ◽  
Kaoru UTSUNOMIYA ◽  
Yoshihiro TSUDA ◽  
Atsuo SUEOKA
Keyword(s):  
Nonlinear Vibration ◽  
Vibration Absorber ◽  
Nonlinear Vibration Absorber

Nonlinear Vibration Absorber Design: An Asymptotic Approach

2015 ◽  
Author(s):  
Arnaldo Casalotti ◽  
Walter Lacarbonara
Keyword(s):  
Nonlinear Vibration ◽  
Multiple Scales ◽  
Equations Of Motion ◽  
Sensitivity Analyses ◽  
Vibration Absorber ◽  
Asymptotic Approach ◽  
Nonlinear Vibration Absorber ◽  
The One ◽  
Two Degree Of Freedom ◽  
Good Agreement

The one-to-one internal resonance occurring in a two-degree-of-freedom (2DOF) system composed by a damped non-linear primary structure coupled with a nonlinear vibration absorber is studied via the method of multiple scales up to higher order (i.e., the first nonlinear order beyond the internal/external resonances). The periodic response predicted by the asymptotic approach is in good agreement with the numerical results obtained via continuation of the periodic solution of the equations of motion. The asymptotic procedure lends itself to manageable sensitivity analyses and thus to versatile optimization by which different optimal tuning criteria for the vibration absorber can possibly be found in semi-closed form.

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