Analytical Solutions for a Horizontally Oscillated Semi-Submerged Cylinder

Analytical Solutions for a Horizontally Oscillated Semi-Submerged Cylinder

Shamima Aktar

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Md. Abul Kawser

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Jashore University of Science and Technology

Analytical Solutions for a Horizontally Oscillated Semi-Submerged Cylinder

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Abstract

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.

References

12 Cites in Article

Reference Format

N Krylov,N Bogoliubov (1947). Introduction to Nonlinear Mechanics.
N Bogoliubov (1950). Theory of Perturbations in Nonlinear Mechanics.
N Bogoliubov,Mitropolskii Yu (1961). Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordan and Breach.
I Popov (1956). A Generalization of the Bogoliubov Asymptotic Method in the Theory of Nonlinear Oscillations.
I Murty,B Deekshatulu,G Krishna (1969). On an Asymptotic Method of Krylov-Bogoliubov for Over-damped Nonlinear Systems.
I Murty (1971). A unified Krylov-Bogoliubov method for solving second-order non-linear systems.
M Sattar (1986). An Asymptotic Method for Second-order Critically Damped Nonlinear Equations.
M Abul Kawser,Ali Akbar,M (2010). An Asymptotic Solution for the Third Order Critically Damped Nonlinear System in the Case for Small Equal Eigenvalues.
M Abul Kawser,M Sattar (2011). An Asymptotic Solution of a Fourth Order Critically Damped Nonlinear System with Pair Wise Equal Eigenvalues.
M Abul Kawser,Md Mizanur Rahman,Mahafujur Rahaman,Md (2016). Analytical Solutions of Fourth Order Critically Damped Nonlinear Oscillatory Systems with Pairwise Equal Complex Eigenvalues.
M Abul Kawser,Mahafujur Rahaman,Md,Mst Kamrunnaher (2016). Analytical Solutions of Fourth Order Critically Undamped Oscillatory Nonlinear Systems with Pairwise Equal Imaginary Eigenvalues.
M Abul Kawser,Md Mahafujur Rahaman,Md Nurul Islam (2017). Perturbation Solutions of Fifth Order Critically Undamped Nonlinear Oscillatory Systems with Pairwise Equal Eigenvalues.

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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

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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GJSFR Volume 17 Issue F8

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 33C10

Submission ReceivedOctober 22, 2017
Peer Review Double Blind
Handling Editor
Accepted November 20, 2017
Published November 30, 2017

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v1.2

Issue date

December 19, 2017

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Article Matrices

Total Score: 102

Country: Bangladesh

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Shamima Aktar, Md. Abul Kawser (PhD/Dr. count: 0)

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Total Downloads: 1551

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