Vibrational black hole for torsional waves propagating through a rod of variable cross-section

Мұқаба

Дәйексөз келтіру

Толық мәтін

Ашық рұқсат Ашық рұқсат
Рұқсат жабық Рұқсат берілді
Рұқсат жабық Тек жазылушылар үшін

Аннотация

The propagation of torsional waves through rods of variable cross-section is considered. With a linear increase in the flattening of the rod, the propagation velocity of the torsional wave decreases linearly and turns to zero at the end of the rod. Yet, the propagation time to the sharpened end is equal to infinity. Such a decelerating structure is called a vibrational black hole in modern terminology. Exact solutions of the equation of torsional vibrations of a sharpened rod with a moment of inertia and a moment of torsion in the form of power functions are given. Corresponding expressions for the input impedance at the initial cross-section are obtained.

Авторлар туралы

M. Mironov

Andreev Acoustics Institute

Email: mironov_ma@mail.ru
4 Shvernik str., Moscow, Russia, 117292

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