Journal ArticleDOI
Analysis of non-linear dynamics of a two-degree-of-freedom vibration system with non-linear damping and non-linear spring
Shijian Zhu,Y.F. Zheng,Yiming Fu +2 more
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TLDR
In this paper, the non-linear dynamics of a two-degree-of-freedom vibration system with nonlinear damping and nonlinear spring is studied, and the analytic results show that the purposes of reducing amplitude and oscillation can be realized by adjusting properly the system parameters and considering the value of exciting frequency.About:
This article is published in Journal of Sound and Vibration.The article was published on 2004-03-22. It has received 97 citations till now. The article focuses on the topics: Vibration & Oscillation.read more
Citations
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Irreversible Passive Energy Transfer in Coupled Oscillators with Essential Nonlinearity
TL;DR: It is shown that the ungrounded essentially nonlinear end attachment is capable of passively absorbing broadband energy at both high and low frequencies, acting, in essence, as a passive broadband boundary controller.
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Exploring the performance of a nonlinear tuned mass damper
TL;DR: In this paper, the performance of a nonlinear tuned mass damper (NTMD) was investigated using the numerical continuation software AUTO and the optimization of periodic solutions and parameter sweeps.
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Robust Control of Continuous-Time Systems With State-Dependent Uncertainties and Its Application to Electronic Circuits
TL;DR: To reduce conservativeness, a particular class of nonquadratic parameter-dependent Lyapunov functions is introduced, by which improved robust stability conditions for the underlying systems are also derived.
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Study of the effects of cubic nonlinear damping on vibration isolations using Harmonic Balance Method
TL;DR: In this article, the Harmonic Balance Method (HBM) is applied to investigate the performance of nonlinear passive vibration isolators with cubic nonlinear damping and linear damping.
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Energy Harvesting Dynamic Vibration Absorbers
References
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Journal ArticleDOI
A Nonlinear Vibration Absorber for Flexible Structures
TL;DR: In this article, an active nonlinear vibration absorber for flexible structures is presented, which exploits the saturation phenomenon exhibited by multidegree-of-freedom systems with quadratic nonlinearities possessing two-to-one autoparametric resonances.
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On the response of the non-linear vibration absorber
TL;DR: In this paper, the steady state vibrations of a non-linear dynamic vibration absorber are studied using the method of multiple scales, in conjunction with digital simulations, and the main results are concerned with certain dynamic instabilities which can occur if the absorber is designed such that the desired operating frequency is approximately the mean of the two linearized natural frequencies of the system.
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Optimal Design of Linear and Nonlinear Vibration Absorbers for Damped Systems
Andres Soom,Ming-san Lee +1 more
TL;DR: In this paper, nonlinear programming techniques are applied to obtain optimal tuning and damping parameters for dynamic absorbers for damped as well as undamped primary systems, and it is found that optimal tuning parameters, obtained with the goal of minimizing the main mass maximum displacement, undergo small changes as damping is introduced into the main system.
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Dynamics of Multiple-Degree-of-Freedom Oscillators With Colliding Components
TL;DR: In this article, an analysis is presented for determining exact steady state response for a class of strongly non-linear multiple-degree-of-freedom oscillators, which consist of a linear component, with an arbitrary number of degrees of freedom and configuration, incorporating a component with a geometric nonlinearity.
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Steady state oscillations and stability of non-linear dynamic vibration absorbers
TL;DR: In this article, the authors present an analysis for determining the steady state response of dynamic vibration absorbers, for which both the machine and the absorber are assumed to possess a non-linear, Duffing type, stiffness.