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- Title
Vibration and waves in a cylinder with screw anisotropy.
- Authors
Panfilov, I. A.; Ustinov, Yu. A.
- Abstract
On the basis of the three-dimensional theory of elasticity, we consider the features of propagation of harmonic waves in a hollow cylinder with screw anisotropy. The main attention is focused on studying axisymmetrical oscillations. To describe low-frequency long-wavelength longitudinal-torsional oscillations by perturbation theory methods, we construct an applied theory and evaluate the area of its applicability. To analyze high-frequency oscillations, a numerical method of determining the critical frequencies and dispersion curves is developed and implemented. It is shown that in the axisymmetrical case, screw anisotropy generates a relation between longitudinal and torsion oscillations, which is mathematically described by the amplitude coefficients of homogeneous waves.
- Subjects
WAVES (Physics); ANISOTROPY; FLUCTUATIONS (Physics); ELASTIC solids; CRYSTALLOGRAPHY; STRAINS &; stresses (Mechanics); EQUIPMENT &; supplies
- Publication
Acoustical Physics, 2010, Vol 56, Issue 6, p1016
- ISSN
1063-7710
- Publication type
Article
- DOI
10.1134/S1063771010060266