Acoustic ‘black holes’ for flexural waves as effective vibration dampers

By V. Krylov, F. Tilman. 2004

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Damping of flexural vibrations in rectangular plates using the acoustic black hole effect (2010, methodology): “If ky = 0, the result from Ref [7] is obtained, where the first positive root is, ∂S(x)/∂x = (12)( kp) x.”
Experimental investigation of the acoustic black hole effect for flexural waves in tapered plates (2007, unknown): “In contrast to [5], the new method proposed in [1-4] uses a gradual change in plate or bar thickness from the value corresponding to the thickness of the basic plate or bar (which is to”
Characterization of acoustic black hole effect using a one-dimensional fully-coupled and wavelet-decomposed semi-analytical model (2016, methodology): “Among existing models describing the ABH effect, the geometrical acoustic approach [14] was first proposed to analyse the flexural wave propagation in tailored wedges and to calculate the reflection coefficients [6,7] on the premise of smoothness assumption of the thickness profile [15].”
The acoustic black hole: A review of theory and applications (2020, background): “(4) is valid only when the layer is much thinner than the plate which, of course, is an assumption that is not valid everywhere along the wedge, particularly near the tip of the wedge where the thickness of the plate is also very small [15].”