A Vibrational Black Hole for Torsional Waves Propagating through a Rod with a Variable Cross Section
Year: 2025
Type: article
Abstract: The propagation of torsional waves through rods with a variable cross section is considered. When the flattening of a rod is linearly increased, the propagation velocity of a torsional wave also linearly decreases to become zero at a finite rod length. Meanwhile, the time of propagation to the sharpened end is equal to infinity. In contemporary terminology, such a decelerating structure is called a vibrational black hole. Exact solutions are found for the equations of torsional vibrations in a sharpened rod with an inertia moment and a torsion moment in the form of power functions along with corresponding expressions for the input impedance at the initial cross section.
Source: Acoustical Physics
Author: M. A. Mironov
Institution: Acoustic Institute named after NN Andreev
Language: English
Subfield: Biomedical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4413287803