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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.72 No.5
- 발행연도
- 2019.1
- 수록면
- 597 - 615 (19page)
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The paper studies the dispersion of the axisymmetric longitudinal wave propagating in the “hollow cylinder + surrounding medium” system with inhomogeneous initial stresses caused by the uniformly distributed radial compressional forces acting at infinity. Up to now in the world literature, there exist only a few investigations related to the wave dispersion in a hollow cylinder with inhomogeneous initial stresses. Therefore, this paper is one of the first attempts in this field in the sense of the development of investigations for the case where the cylinder is surrounded with an infinite medium. The three-dimensional linearized theory of elastic waves is used for describing the considered wave propagation problem and, for a solution to the corresponding mathematical problem, the discrete-analytical solution method is developed and employed. The corresponding dispersion equation is obtained and this equation is solved numerically and, as a result of this solution, the dispersion curves are constructed for the first and second modes. By analyzing these curves, the character of the influence of the inhomogeneous initial stresses on the dispersion curves is established. In particular, it is established that as a result of the inhomogeneity of the initial stresses both new dispersion curves and the “band gap” for the wave frequencies can appear.
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참고문헌 (34)
참고문헌 신청
Abdulkadirov, S. A. / 1981 / Low-frequency resonance waves in a cylindrical layer surrounded by an elastic medium / J. Min. Sci 80:229~234
S.D. Akbarov / 2006 / Dynamical (time-harmonic) axisymmetric interface stress field in the finite pre-strained half-space covered with the finite pre-stretched layer / International Journal of Engineering Science 44(1-2):93~112
Akbarov, S. D. / 2015 / Dynamics of Pre-strained Bi-material Elastic Systems: Linearized Three-dimensional Approach / Springer
Akbarov, S. D. / 2018 / Forced vibration of the hydro-viscoelastic and-elastic systems consisting of the viscoelastic or elastic plate, compressible viscous fluid and rigid wall : A review / Appl. Comput. Math 17(3):221~245
S.D. Akbarov / 2019 / Axisymmetric longitudinal wave dispersion in a bi-layered circular cylinder with inhomogeneous initial stresses / Journal of Sound and Vibration 450:1~27
S.D. Akbarov / 2006 / Dynamical (time-harmonic) axisymmetric interface stress field in the finite pre-strained half-space covered with the finite pre-stretched layer / International Journal of Engineering Science 44(1-2):93~112
Akbarov, S. D. / 2015 / Dynamics of Pre-strained Bi-material Elastic Systems: Linearized Three-dimensional Approach / Springer
Akbarov, S. D. / 2018 / Forced vibration of the hydro-viscoelastic and-elastic systems consisting of the viscoelastic or elastic plate, compressible viscous fluid and rigid wall : A review / Appl. Comput. Math 17(3):221~245
S.D. Akbarov / 2019 / Axisymmetric longitudinal wave dispersion in a bi-layered circular cylinder with inhomogeneous initial stresses / Journal of Sound and Vibration 450:1~27
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