Results 291 to 300 of about 191,827 (344)

Nonlinear active vibration damping

IEEE Transactions on Automatic Control, 1994
Summary: A 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.
Kanestrøm, R. K., Egeland, O.
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Nonlinear Landau Damping

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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The Stochastic Nonlinear Damped Wave Equation

Applied Mathematics and Optimization, 2002
The authors investigate the following stochastic wave equation in a bounded subset \(D\) of \({\mathbb R}^n, n \leq 3\) with smooth boundary \(\partial D\): \[ dY_t +(AY + Y_t +g(Y)) dt= \sqrt{Q} dW(t)\;\text{in }[0,\infty)\times D, \] \[ Y(0) = y\in H_0^1(D), \quad Y_t(0)=z\in L^2(D), \] \[ Y=0\;\text{ on }[0,\infty)\times\partial D, \] where (1) \(W\)
Barbu, Viorel, Da Prato, Giuseppe
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Nonlinear damping identification from transient data

AIAA Journal, 1999
To assess the performance of damping augmentation strategies, accurate and reliable nonlinear damping identification techniques are needed. The transient response of a single-degree-of-freedom system having either nonlinear coulomb or quadratic damping is considered.
C. B. Smith, N. M. Wereley
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Nonlinear Vibrations of Fractionally Damped Systems

Nonlinear Dynamics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Padovan, Joe, Sawicki, Jerzy T.
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Nonlinear Landau Damping—The Spectrum

The Physics of Fluids, 1970
The spatial damping of large-amplitude electrostatic waves in a collisionless plasma is derived. The theory leads to differential equations which describe the nonlinear oscillation of the electric field amplitude, the broadening of the frequency spectrum, and the growth of sidebands.
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Nonlinear damping control for interconnected nonlinear systems

2015 54th IEEE Conference on Decision and Control (CDC), 2015
In this paper, we propose enhanced nonlinear damping control for a class of singularly perturbed interconnected nonlinear systems (SPINSs). The proposed method transforms SPINS into a feedback connection of two subsystems. Then, nonlinear damping is implemented to improve the transient behavior of slow subsystem.
Donghoon Shin, Wonhee Kim, Youngwoo Lee, Chung Choo Chung   +3 more
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Nonlinear damped higher order nonlinear Schrodinger dynamics

2022
<p> The spatially periodic breather solutions (SPBs)  of the nonlinear Schr\"odinger equation, prominent in modeling rogue waves, are<br>  unstable.<br> In this paper we numerically investigate the effects of nonlinear dissipation and higher order ...
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Perturbation Theory for Damped Nonlinear Oscillations

Journal of Mathematical Physics, 1970
A perturbation theory has been worked out for the decay of autonomous, nonlinear oscillations in the case where there is large linear damping. The solution reduces to a solution obtained by Kryloff and Bogoliuboff for small damping and to the perturbation solution for periodic oscillations for vanishing damping.
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Vibration Isolation With Nonlinear Damping

Journal of Engineering for Industry, 1971
This paper discusses the performance characteristics of single degree-of-freedom vibration isolation systems in which the isolator damping force is proportional to the relative velocity across the isolator raised to an arbitrary power. The concept of equivalent viscous damping is employed to develop a general equation for the equivalent viscous damping
Thomas F. Derby, Jerome E. Ruzicka
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