Response of nonlinear oscillator under narrow-band random excitation

2003 ◽  
Vol 24 (7) ◽  
pp. 817-825 ◽  
Author(s):  
Rong Hai-wu ◽  
Wang Xiang-dong ◽  
Meng Guang ◽  
Xu Wei ◽  
Fang Tong
Keyword(s):  
Nonlinear Oscillator ◽  
Narrow Band ◽  
Random Excitation

Energy Harvesting From Vibrations With a Nonlinear Oscillator

2010 ◽  
Vol 132 (2) ◽  
Author(s):  
David A. W. Barton ◽  
Stephen G. Burrow ◽  
Lindsay R. Clare
Keyword(s):  
Energy Harvesting ◽  
Pure Tone ◽  
Nonlinear Oscillator ◽  
Narrow Band ◽  
Excitation Frequency ◽  
Primary Resonance ◽  
Type Equation ◽  
Random Excitation ◽  
Resonant Response ◽  
Electromagnetic Energy Harvesting

In this paper, we present a nonlinear electromagnetic energy harvesting device that has a broadly resonant response. The nonlinearity is generated by a particular arrangement of magnets in conjunction with an iron-cored stator. We show the resonant response of the system to both pure-tone excitation and narrow-band random excitation. In addition to the primary resonance, the superharmonic resonances of the harvester are also investigated and we show that the corresponding mechanical upconversion of the excitation frequency may be useful for energy harvesting. The harvester is modeled using a Duffing-type equation and the results are compared with the experimental data.

Energy Harvesting From Vibrations With a Nonlinear Oscillator

2009 ◽  
Author(s):  
David A. W. Barton ◽  
Stephen G. Burrow ◽  
Lindsay R. Clare
Keyword(s):  
Energy Harvesting ◽  
Pure Tone ◽  
Nonlinear Oscillator ◽  
Narrow Band ◽  
Excitation Frequency ◽  
Primary Resonance ◽  
Type Equation ◽  
Random Excitation ◽  
Resonant Response ◽  
Electromagnetic Energy Harvesting

In this paper we present a nonlinear electromagnetic energy harvesting device that has a broadly resonant response. The nonlinearity is generated by a particular arrangement of magnets in conjunction with an iron-cored stator. We show the resonant response of the system to both pure-tone excitation and narrow-band random excitation. In addition to the primary resonance, the super-harmonic resonances of the harvester are also investigated and we show that the corresponding mechanical up-conversion of the excitation frequency may be useful for energy harvesting. The harvester is modeled using a Duffing-type equation and the results compared to the experimental data.

Calculation of Nonlinear Systems Under Narrow Band Excitation Using Equivalent Linearization and Path Continuation

2021 ◽  
Author(s):  
Alwin Förster ◽  
Lars Panning-von Scheidt
Keyword(s):  
Nonlinear Systems ◽  
Narrow Band ◽  
Gaussian White Noise ◽  
Random Excitation ◽  
Mean Value ◽  
Equivalent Linearization ◽  
Efficient Procedure ◽  
Stochastic Excitations ◽  
Wide Range ◽  
The One

Abstract Turbomachines experience a wide range of different types of excitation during operation. On the structural mechanics side, periodic or even harmonic excitations are usually assumed. For this type of excitation there are a variety of methods, both for linear and nonlinear systems. Stochastic excitation, whether in the form of Gaussian white noise or narrow band excitation, is rarely considered. As in the deterministic case, the calculations of the vibrational behavior due to stochastic excitations are even more complicated by nonlinearities, which can either be unintentionally present in the system or can be used intentionally for vibration mitigation. Regardless the origin of the nonlinearity, there are some methods in the literature, which are suitable for the calculation of the vibration response of nonlinear systems under random excitation. In this paper, the method of equivalent linearization is used to determine a linear equivalent system, whose response can be calculated instead of the one of the nonlinear system. The method is applied to different multi-degree of freedom nonlinear systems that experience narrow band random excitation, including an academic turbine blade model. In order to identify multiple and possibly ambiguous solutions, an efficient procedure is shown to integrate the mentioned method into a path continuation scheme. With this approach, it is possible to track jump phenomena or the influence of parameter variations even in case of narrow band excitation. The results of the performed calculations are the stochastic moments, i.e. mean value and variance.

Mean-Square Response of a Second-Order System to Nonstationary, Random Excitation

1970 ◽  
Vol 37 (3) ◽  
pp. 612-616 ◽  
Author(s):  
L. L. Bucciarelli ◽  
C. Kuo
Keyword(s):  
Narrow Band ◽  
Random Excitation ◽  
Second Order ◽  
Envelope Function ◽  
Order System ◽  
Mean Square ◽  
Forcing Function ◽  
Mean Square Response ◽  
Noise Function ◽  
The Mean

The mean-square response of a lightly damped, second-order system to a type of non-stationary random excitation is determined. The forcing function on the system is taken in the form of a product of a well-defined, slowly varying envelope function and a noise function. The latter is assumed to be white or correlated as a narrow band process. Taking advantage of the slow variation of the envelope function and the small damping of the system, relatively simple integrals are obtained which approximate the mean-square response. Upper bounds on the mean-square response are also obtained.

Effects of Intentional Large Mistuning to the Performance of B–B Friction Dampers in the Mistuned Bladed Disk Assembly Subjected to Narrow band Random Excitation

2021 ◽  
Author(s):  
Douksoon Cha
Keyword(s):  
Simple Model ◽  
Efficient Method ◽  
Narrow Band ◽  
Random Excitation ◽  
Additional Mass ◽  
Friction Dampers ◽  
Analytical Technique ◽  
Bladed Disk ◽  
Bladed Disk Assembly

Abstract In this study, the effects of intentional mistuning on the performance of B–B friction dampers are investigated in an inherently mistuned bladed disk assembly subjected to narrow band random excitation. The intentional large mistuning and inherent small mistuning are modeled by the additional mass and perturbations in the stiffness of the blade, respectively. It was found that the performance of B–B friction dampers improved owing to the intentional mistuning of the correlated excitations. Based on a simple model of an intentionally and inherently mistuned bladed disk assembly, the analytical technique offers an efficient method to evaluate the effects of intentional mistuning and friction dampers.

126 Effect of difference in narrow band random excitation models on response distributions

2006 ◽  
Vol 2006 (0) ◽  
pp. _126-1_-_126-6_
Author(s):  
Shinji TAMURA ◽  
Toshiaki TAKANO ◽  
Koji KIMURA
Keyword(s):  
Narrow Band ◽  
Random Excitation

scholarly journals Response of a suspended cable to narrow-band random excitation with peaked P.S.D.

2005 ◽  
Vol 41 (11-12) ◽  
pp. 1203-1212 ◽  
Author(s):  
M.H. Kargarnovin ◽  
B. Mehri ◽  
D. Younesian
Keyword(s):  
Narrow Band ◽  
Random Excitation ◽  
Suspended Cable
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