Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/propagation-of-elastic-waves-in-dynamically-self-similar-structures-7qCyVzLM8w
References (7)
-
(1988)
Fractals (Plenum Press -
(1940)
M . A . Mironov and V . V . Pislyakov -
(1974)
Finite Elements Method for Calculating Ship Structures (Sudostroenie -
T. Kármán, M. Biot (1943)
Mathematical methods in engineering : an introduction to the mathematical treatment of engineering problems -
K. Barraclough (2001)
I and iBMJ : British Medical Journal, 323
-
B. Mandelbrot (1984)
Fractal Geometry of Nature -
P. Deymier (2013)
Acoustic metamaterials and phononic crystals
- Publisher
- Springer Journals
- Copyright
- Copyright © Pleiades Publishing, Ltd. 2020
- ISSN
- 1063-7710
- eISSN
- 1562-6865
- DOI
- 10.1134/S1063771020020013
- Publisher site
- See Article on Publisher Site
Abstract
The concept of a dynamically self-similar structure (dynamic fractal) is introduced, consisting in the similarity of the dynamic parameters of the cell generatrices. Elastic wave propagation in unbranched dynamically self-similar structures is investigated. It is shown that such structures are equivalent in frequency to a periodic structure with additional fixation; however, the nature of wave propagation in them significantly differs. A dynamic fractal can feature both attenuated waves and waves that increase along the length of the structure; the intensity of wave attenuation is stronger than in a periodic structure.
Journal
Acoustical Physics – Springer Journals
Published: May 19, 2020