Ducting in Extended Plates of Variable Thickness

Authors

  • Maqsud Sharipovich Akhmedov

  • Ismail Ibrahimovich Safarov

  • Zafar Ihterovich Boltaev

waveguide, spectral problem, plane wave biorthogonality, plastic, dual problem

Abstract

The paper deals with the spread of its own waves on the visco elastic plate with variable thickness. Basic relations of the classical theory of plates of variable thickness obtained on the basis of the principles of virtual displacements. The spectral problem, which is not self ad joint. Built for the task biorthogonality conditions, based on the Lagrange formula. The numerical solution of the spectral tasks performed on the computer software system based on the method of orthogonal shooting S.K. Godunov in combination with the method of Muller.

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How to Cite

Ducting in Extended Plates of Variable Thickness. (2016). Global Journal of Science Frontier Research, 16(F2), 33-66. https://www.journalofscience.org/index.php/GJSFR/article/view/1756

References

I Bestuzheva, V Durov (1981) On the propagation of edge waves in elastic media. 27(№4), 487-490.

I Yu, Bobrovnitsky (1977) dispersion of flexural normal waves in the thin strip. (23), 34-40.

I Yu, M Bobrovnitsky, Genkin (1975) oscillations of an elastic band. 12-42.

Sk Godunov (1061) 7. Solving Linear Equations. 3, 303-326.

Roman Dodonov, Olena Aleksandrova, Vitalyi Zavadsky, Nataliia Vinnikova (1981) Peace Education: European Good Practices and National Capacity to Support the Disadvantaged Groups of People and Regions. 2(40), 65-74.

V Kravchenko, V Myaleshka (1981) Properties of harmonic waves propagating along the edges of the rectangular elastic wedge. 27, 206-212.

M Tangles (1976) Creep and relaksatsiya. 273.

T Meeker, A Meitzler (1966) Guided Wave Propagation in Elongated Cylinders and Plates. 111-167.

J Rabotnov (1977) hereditary elements of mechanics of solids. 384.

I Safarov, M Teshaev, Z Boltaev (2012) Wave processes in the mechanical waveguide. 217.

S Timoshenko (1966) And a shell plate. 597.

Ismail Safarov, Maqsud Akhmedov, Zafar Boltaev (2014) Loose Waves in Viscoelastic Cylindrical Wave Guide with Radial Crack. 05(21), 3518-3524.

I Safarov, M Teshayev, Sh. Juraev, F Khomidov (2024) Vibrations of Viscoelastic Plates with Attached Concentrated Masses. 45(4), 1729-1737.

I Safarov, M Sh, Z Akhmedov, Boltayev (2015) Dissemination Sinusoidal Waves in of A Viscoelastic Strip. 15(1), 39-60.

I Safarov, Z Boltaev (2011) Propagation of harmonic waves in a plate of variable thickness. 4, 31-39.

M Neumark (1969) Linear differential operators. 526.

Ducting in Extended Plates of Variable Thickness

Published

2016-04-14

How to Cite

Ducting in Extended Plates of Variable Thickness. (2016). Global Journal of Science Frontier Research, 16(F2), 33-66. https://www.journalofscience.org/index.php/GJSFR/article/view/1756