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Nonlinear damping control for interconnected nonlinear systems
2015 54th IEEE Conference on Decision and Control (CDC), 2015In 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.
Wonhee Kim +3 more
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On the nonlinear damping of a plasma mode
Journal of Plasma Physics, 1972We present a theory of the nonlinear damping of a plasma mode based on a solution of the Vlasov–Poisson system. The formulation is exempt from the objectionable separation of the particles into ‘resonant’ and ‘nonresonant’, and is valid for ion as well as for electron modes.
G. Pocobelli, R. Nandan
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Harmonic Oscillators with Nonlinear Damping
International Journal of Bifurcation and Chaos, 2017Dynamical systems with special properties are continually being proposed and studied. Many of these systems are variants of the simple harmonic oscillator with nonlinear damping. This paper characterizes these systems as a hierarchy of increasingly complicated equations with correspondingly interesting behavior, including coexisting attractors, chaos ...
J. C. Sprott, W. G. Hoover
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Vibration Isolation With Nonlinear Damping
Journal of Engineering for Industry, 1971This 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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Nonlinear Damping of Limb Motion
1990The muscle-reflex mechanisms form a feedback system called the motor servo (Houk and Rymer, 1981; Gielen and Houk, 1987), which consists of a muscle, its spindle receptors, and the corresponding reflex pathways back to the muscle. This neuromuscular system mediates the stretch and unloading reflex of the muscle by the feedback. Motivated by a desire to
Kuu-Young Young +3 more
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Nonlinear Landau Damping—The Spectrum
The Physics of Fluids, 1970The 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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Attractor for a Strongly Damped Lattice System with Nonlinear Damping
2018 IEEE 15th International Conference on e-Business Engineering (ICEBE), 2018We prove the existence of a global attractor of a strongly damped lattice system with the damped force q(u_i) u_i+β(u_i) where the coupled operator is nonnegative definite symmetric and obtain an upper Hausdorff dimension of the global attractor, which keeps bounded for large damping.
Hongyan Li, Rui Zhang
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Nonlinear performance of classical damping
Earthquake Engineering and Engineering Vibration, 2013The performance of a classical damping matrix, constructed either from the use of initial structural properties or current structural properties, in the step-by-step solution of a nonlinear multiple degree of freedom (MDOF) system is analytically evaluated. The analytical results are confirmed by numerical examples.
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Nonlinear Damping Losses in YIG
Journal of Applied Physics, 1961High-power ferromagnetic resonance in a flat plate has a small component of the precession parallel to the applied dc field. This component causes frequency doubling and also coherent amplification of some scattered spin waves. These spin waves then cause a linear damping of the parallel component of the precession, which in turn causes a nonlinear ...
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