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May 17, 2018Open    AccessArticle

Properties of Wave Motion in a Cylindrical Shell, Interacting with Viscous Liquid

Ismail Ibrahimovich Safarov, Muhsin Khudoyberdiyevich Teshaev, Zafar Ixtiyorovich Boltayev
The propagation of natural waves in a cylindrical shell (elastic or viscoelastic) that is in contact with a viscous liquid is considered. The problem reduces to solving spectral problems with a complex incoming parameter. The system of ordinary differential equations is solved numerically, using the method of orthogonal rotation of Godunov with a combination of the Muller method. The dissipative processes in the mechanical system

Mar 29, 2018Open    AccessArticle

Own Vibrations of Bodies Interacting with Unlimited Deformable Environment

Ismail Ibrahimovich Safarov, Muhsin Khudoyberdiyevich Teshaev, Zafar Ixtiyorovich Boltayev
The vibrations of deformed bodies interacting with an elastic medium are considered. The problem reduces to finding those values of complex Eigen frequencies for which the system of equations of motion and the radiation conditions have a nonzero solution to the class of infinitely differentiable functions. It is shown that the problem has a discrete spectrum located on the lower complex plane and the symme

Feb 09, 2018Open    AccessArticle

Propagation of Natural Waves on Plates of a Variable Cross Section

Ismail Ibrahimovich Safarov, Zafar Ihterovich Boltaev
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 carr

Jul 07, 2015Open    AccessArticle

Of a Fatigued Thick-Walled Cylindrical Pipe on the Brink of Yielding

Nzerem Francis Egenti
The response to stress delivered by a non-isochoric hollow cylinder is critical to its future life and integrity. The design of cylinders must emphasize durability; therefore, the knowledge of the yield stress of the constituent material is essential. The stress component of a pressurized compressible circular cylinder made of non-linearly elastic material was considered here and the yield stress was determined.