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On the design of nonlinear damping with electromagnetic shunt damping
International Journal of Mechanical Sciences, 2020Abstract Traditional linear electromagnetic shunt damping (L-EMSD) has been studied deeply, however, the vibration isolation performance becomes worse with the increase of linear damping in the isolation region. To overcome the limitation of L-EMSD, this paper proposes two types of nonlinear electromagnetic shunt damping (N-EMSD) to develop nonlinear
Wenguang Zheng +6 more
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Nonlinear damping of zonal flows
Plasma Physics Reports, 2016The modulatonal instability theory for the generation of large-scale (zonal) modes by drift modes has been extended to the second order including the effects of finite amplitude zonal flows, ϕq. The nonlinear (second-order) sidebands are included in the perturbative expansion to derive the nonlinear equation for the evolution of ϕq.
O. Koshkarov +3 more
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Transport Theory and Statistical Physics, 2009
In this article, we report the mathematical details of a systematic analysis of the nonlinear Landau damping of longitudinal electrostatic waves propagating in a collisionless plasma. Many of the main results have been reported previously; unfortunately, major parts of the essential mathematical developments had to be omitted for various reasons ...
J. J. Dorning, Carlo Lancellotti
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In this article, we report the mathematical details of a systematic analysis of the nonlinear Landau damping of longitudinal electrostatic waves propagating in a collisionless plasma. Many of the main results have been reported previously; unfortunately, major parts of the essential mathematical developments had to be omitted for various reasons ...
J. J. Dorning, Carlo Lancellotti
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Stability for a damped nonlinear oscillator
Nonlinear Analysis, 2005Abstract The stability of the null solution of Eq. (1.1) below is discussed. Under some unusual assumptions, we obtain new stability results for this classical oscillator equation. Our approach allows extensions to both the vector case and the case of the whole real line.
Cristian Vladimirescu +1 more
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Physical Review Letters, 1997
We present a new description of nonlinear Landau damping, applicable to wave propagation in a weakly collisional as well as a collisionless plasma. We derive a set of equations with a simple energy conservation law which is useful for understanding the evolution of the system.
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We present a new description of nonlinear Landau damping, applicable to wave propagation in a weakly collisional as well as a collisionless plasma. We derive a set of equations with a simple energy conservation law which is useful for understanding the evolution of the system.
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Damped nonlinear Schrödinger equation
The Physics of Fluids, 1976High frequency electrostatic plasma oscillations described by the nonlinear Schrödinger equation in the presence of damping, collisional or Landau, are considered. At early times, Landau damping of an initial soliton profile results in a broader, but smaller amplitude soliton, while collisional damping reduces the soliton size everywhere; soliton ...
Dwight R. Nicholson, Martin V. Goldman
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Deconvolution of damping forces with a nonlinear microresonator
Review of Scientific Instruments, 2011We report a fully electrical microcantilever device that utilizes capacitance for both actuation and detection and show that it can characterize various gases with a bare silicon microcantilever. We find the motion of the cantilever as it rings down when the oscillating force is removed, by measuring the voltage induced by the oscillating capacitance ...
Apparao M. Rao +5 more
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2015
In this chapter we consider the effects of linear and nonlinear absorption (damping) on collapsing solutions.
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In this chapter we consider the effects of linear and nonlinear absorption (damping) on collapsing solutions.
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Nonlinear active vibration damping
IEEE Transactions on Automatic Control, 1994A multivariable nonlinear controller is investigated for vibration suppression of flexible structures. The closed-loop gain matrix consists of a varying term added to a constant term. The varying term is proportional to the measured signal, providing rapid cancellation of large deflections and maintaining low noise sensitivity.
R.K. Kanestrom, Olav Egeland
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