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Damping (Mechanics) --- Amortissement (Mécanique)

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Vibration --- Damping (Mechanics) --- Polymers --- Sound-waves --- Acoustic properties --- Damping

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Sound-waves --- Metamaterials --- Porous materials --- Damping. --- Acoustic properties. --- Meta materials --- Composite materials --- Electromagnetism --- Damping (Mechanics)

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This book is a companion text to Active Control of Sound by P.A. Nelson and S.J. Elliott, also published by Academic Press. It summarizes the principles underlying active vibration control and its practical applications by combining material from vibrations, mechanics, signal processing, acoustics, and control theory. The emphasis of the book is on the active control of waves in structures, the active isolation of vibrations, the use of distributed strain actuators and sensors, and the active control of structurally radiated sound. The feedforward control of deterministic disturbances,

Vibration. --- Noise control. --- Damping (Mechanics) --- Noise prevention --- Oscillations --- Vibration --- Waves --- Acoustical engineering --- Environmental engineering --- Noise --- Cycles --- Mechanics --- Sound

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"We study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number Re. We prove that for sufficiently regular initial data of size [epsilon] [less than or equal to] c0Re-1 for some universal c0 > 0, the solution is global, remains within O(c0) of the Couette flow in L2, and returns to the Couette flow as t [right arrow] [infinity]. For times t >/-Re1/3, the streamwise dependence is damped by a mixing-enhanced dissipation effect and the solution is rapidly attracted to the class of "2.5 dimensional" streamwise-independent solutions referred to as streaks. Our analysis contains perturbations that experience a transient growth of kinetic energy from O(Re-1) to O(c0) due to the algebraic linear instability known as the lift-up effect. Furthermore, solutions can exhibit a direct cascade of energy to small scales. The behavior is very different from the 2D Couette flow, in which stability is independent of Re, enstrophy experiences a direct cascade, and inviscid damping is dominant (resulting in a kind of inverse energy cascade). In 3D, inviscid damping will play a role on one component of the velocity, but the primary stability mechanism is the mixing-enhanced dissipation. Central to the proof is a detailed analysis of the interplay between the stabilizing effects of the mixing and enhanced dissipation and the destabilizing effects of the lift-up effect, vortex stretching, and weakly nonlinear instabilities connected to the non-normal nature of the linearization"--

Asymptotic expansions --- Développements asymptotiques --- Systèmes non linéaires --- Nonlinear systems --- Viscous flow --- Stability. --- Shear flow. --- Inviscid flow. --- Mixing. --- Damping (Mechanics) --- Three-dimensional modeling. --- Mathematical models.