Analytical Solutions for a Horizontally Oscillated Semi-Submerged Cylinder

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Shamima Aktar
Shamima Aktar
2
Md. Abul Kawser
Md. Abul Kawser
1 Jessore University of science and technology

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The Krylov-Bogoliubov-Mitropolskii (KBM) method is an enormously used technique to study the transient behavior of vibrating systems. In this work, an oscillating semi-submerged horizontal cylinder is considered in a liquid and the governing equation of this system deem to weakly nonlinear to find out the solutions. Analytical approximate solutions are investigated for obtaining the transient response of the system for undamped and damped oscillatory motions. The results obtained by the proposed technique for the different sets of initial conditions have found to be well suited with the numerical solutions.

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.

Shamima Aktar. 2017. \u201cAnalytical Solutions for a Horizontally Oscillated Semi-Submerged Cylinder\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F8): .

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Issue Cover
GJSFR Volume 17 Issue F8
Pg. 59- 71
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 33C10
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v1.2

Issue date

December 19, 2017

Language

English

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The Krylov-Bogoliubov-Mitropolskii (KBM) method is an enormously used technique to study the transient behavior of vibrating systems. In this work, an oscillating semi-submerged horizontal cylinder is considered in a liquid and the governing equation of this system deem to weakly nonlinear to find out the solutions. Analytical approximate solutions are investigated for obtaining the transient response of the system for undamped and damped oscillatory motions. The results obtained by the proposed technique for the different sets of initial conditions have found to be well suited with the numerical solutions.

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Analytical Solutions for a Horizontally Oscillated Semi-Submerged Cylinder

Shamima Aktar
Shamima Aktar Jessore University of science and technology
Md. Abul Kawser
Md. Abul Kawser

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