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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.77 No.5
- 발행연도
- 2021.1
- 수록면
- 571 - 586 (16page)
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The present paper studies the influence of the inhomogeneous initial stresses in the bi-layered hollow cylinder and it is assumed that these stresses are caused by the hydrostatic pressures acting on the interior and outer free surfaces of the cylinder. The study is made by utilizing the version of the three-dimensional linearized theory of elastic waves in bodies with initial stresses for which the initial stress-strain state in bodies is determined within the scope of the classical linear theory of elasticity. For the solution to the corresponding eigenvalue problem, the discrete-analytical method is employed. Numerical results are presented and analyzed for concrete selected pairs of materials. According to these results and their analyses, it is established that, unlike homogeneous initial stresses, the influence of the inhomogeneous initial stresses on the torsional wave dispersion has not only quantitative but also qualitative character. For instance, in particular, it is established that as a result of the initial stresses caused by the hydrostatic pressure acting in the interior free surface of the cylinder, the cut-off frequency appears for the fundamental dispersive mode and the values of this frequency increase with the intensity of this pressure.
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참고문헌 (46)
참고문헌 신청
Akbarov, S. D. / 2006 / Frequency response of the axisymmetrically finite pre-stretched slab from incompressible functionally graded material on a rigid foundation / Int. J. Eng. Sci. 44:93~112
Akbarov, S.D. / 2012 / The influence of the third order elastic constants on axisymmetric wave propagation velocity in the two-layered pre-stressed hollow cylinder / CMC: Comput. Mater. Continua 32(1):29~60
Akbarov, S.D. / 2014 / Flexural wave dispersion in finitely prestrained solid and hollow circular cylinders made of compressible materials / CMES: Comput. Model. Eng. Sci. 92(4):387~427
Akbarov, S. D. / 2015 / Dynamics of Pre-Strained Bi-Material Elastic Systems: Linearized Three- Dimensional Approach / Springer
Akbarov, S. D. / 2019 / Axisymmetric longitudinal wave dispersion in a bi-layered circular cylinder with inhomogeneous initial stresses / J. Sound Vib. 450:1~27
Akbarov, S.D. / 2012 / The influence of the third order elastic constants on axisymmetric wave propagation velocity in the two-layered pre-stressed hollow cylinder / CMC: Comput. Mater. Continua 32(1):29~60
Akbarov, S.D. / 2014 / Flexural wave dispersion in finitely prestrained solid and hollow circular cylinders made of compressible materials / CMES: Comput. Model. Eng. Sci. 92(4):387~427
Akbarov, S. D. / 2015 / Dynamics of Pre-Strained Bi-Material Elastic Systems: Linearized Three- Dimensional Approach / Springer
Akbarov, S. D. / 2019 / Axisymmetric longitudinal wave dispersion in a bi-layered circular cylinder with inhomogeneous initial stresses / J. Sound Vib. 450:1~27
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