Propagation of Natural Waves on Plates of a Variable Cross Section - Open Access Library Journal

OALibJ > Vol.5 No.2, February 2018

Propagation of Natural Waves on Plates of a Variable Cross Section ()

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DOI: 10.4236/oalib.1104262 483 Downloads 1,145 Views Citations

Author(s)

Ismail Ibrahimovich Safarov, Zafar Ihterovich Boltaev

Affiliation(s)

Bukhara Technological-Institute of Engineering, Bukhara, Republic of Uzbekistan.

ABSTRACT

In this paper, a conjugate spectral problem and biorthogonality conditions for the problem of extended plates of variable thickness are constructed. A technique for solving problems and numerical results on the propagation of waves in infinite extended viscoelastic plates of variable thickness is described. The viscous properties of the material are taken into account using the Voltaire integral operator. The investigation is carried out within the framework of the spatial theory of viscoelasticity. The technique is based on the separation of spatial variables and the formulation of a boundary value problem for Eigen values which are solved by the Godunov orthogonal sweep method and the Muller method. Numerical values of the real and imaginary parts of the phase velocity are obtained depending on the wave numbers. In this case, the coincidence of numerical results with known data is obtained.

KEYWORDS

Waveguide, Spectral Problem, Plane Wave Biorthogonality, Plastic, Dual Problem

Share and Cite:

Safarov, I. and Boltaev, Z. (2018) Propagation of Natural Waves on Plates of a Variable Cross Section. Open Access Library Journal, 5, 1-30. doi: 10.4236/oalib.1104262.

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