Distribution Natural Waves in an Infinite Viscoelastic Cylinder with Radial Cracks and Wedges

Article ID

05S3K

Distribution Natural Waves in an Infinite Viscoelastic Cylinder with Radial Cracks and Wedges

Safarov Ismail Ibrahimovich
Safarov Ismail Ibrahimovich Bukhara Technological- Institute of Engineering
Akhmedov Maqsud Sharipovich
Akhmedov Maqsud Sharipovich
Boltayev Zafar  Ixtiyarovich
Boltayev Zafar Ixtiyarovich
DOI

Abstract

This paper deals with the distribution of natural waves of an infinite cylinder with radial crack and wedge. The task is put in cylindrical coordinates. Viscoelastic cylinder with radial crack is a limiting case of the wedge with an angle 3600 . With the help of the Navier equations and physical system received six differential equations. After not complicated conversion obtained spectral boundary value problem for systems of ordinary and partial differential equations complex the coefficient, which is then solved by the direct and orthogonal shooting with a combination of the method of Mueller on a complex arithmetic. A dispersion relation for a cylinder with radial crack and the wedge was got.

Distribution Natural Waves in an Infinite Viscoelastic Cylinder with Radial Cracks and Wedges

This paper deals with the distribution of natural waves of an infinite cylinder with radial crack and wedge. The task is put in cylindrical coordinates. Viscoelastic cylinder with radial crack is a limiting case of the wedge with an angle 3600 . With the help of the Navier equations and physical system received six differential equations. After not complicated conversion obtained spectral boundary value problem for systems of ordinary and partial differential equations complex the coefficient, which is then solved by the direct and orthogonal shooting with a combination of the method of Mueller on a complex arithmetic. A dispersion relation for a cylinder with radial crack and the wedge was got.

Safarov Ismail Ibrahimovich
Safarov Ismail Ibrahimovich Bukhara Technological- Institute of Engineering
Akhmedov Maqsud Sharipovich
Akhmedov Maqsud Sharipovich
Boltayev Zafar  Ixtiyarovich
Boltayev Zafar Ixtiyarovich

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Maqsud Sharipovich Akhmedov. 2017. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F6): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Issue Cover
GJSFR Volume 16 Issue F6
Pg. 79- 98
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GJSFR-F Classification: MSC 2010: 00A69, 00A79
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Distribution Natural Waves in an Infinite Viscoelastic Cylinder with Radial Cracks and Wedges

Safarov Ismail Ibrahimovich
Safarov Ismail Ibrahimovich Bukhara Technological- Institute of Engineering
Akhmedov Maqsud Sharipovich
Akhmedov Maqsud Sharipovich
Boltayev Zafar  Ixtiyarovich
Boltayev Zafar Ixtiyarovich

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