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

α
Maqsud Sharipovich Akhmedov
Maqsud Sharipovich Akhmedov
σ
Safarov Ismail Ibrahimovich
Safarov Ismail Ibrahimovich
ρ
Akhmedov Maqsud Sharipovich
Akhmedov Maqsud Sharipovich
Ѡ
Boltayev Zafar  Ixtiyarovich
Boltayev Zafar Ixtiyarovich
α Bukhara Technological-Institute of Engineering,
σ Bukhara Technological- Institute of Engineering

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

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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 0 360 . 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.

References

16 Cites in Article
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  5. Ismail Safarov,Maqsud Akhmedov,Zafar Boltaev (2015). Loose Waves in Viscoelastic Cylindrical Wave Guide with Radial Crack.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Maqsud Sharipovich Akhmedov. 2017. \u201cDistribution Natural Waves in an Infinite Viscoelastic Cylinder with Radial Cracks and Wedges\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F6): .

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Issue Cover
GJSFR Volume 16 Issue F6
Pg. 79- 98
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 00A69, 00A79
Version of record

v1.2

Issue date

January 19, 2017

Language
en
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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 0 360 . 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.

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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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