ANALYTICAL SOLUTION OF NONLINEAR ROLLING MOTION OF SHIP USING THE METHOD OF MULTIPLE SCALES

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JALILI MOHAMMAD MAHDI; EBRAHIMI SAEED; RAHMAT NEDA

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Journal: Modeling in Engineering Year:2017 | Volume:15 | Issue:49 Page(s): 125-137

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Title

ANALYTICAL SOLUTION OF NONLINEAR ROLLING MOTION OF SHIP USING THE METHOD OF MULTIPLE SCALES

Author(s)

JALILI MOHAMMAD MAHDI | EBRAHIMI SAEED | RAHMAT NEDA | Issue Writer Certificate

Keywords

ROLL MOTIONQ1

METHOD OF MULTIPLE SCALESQ1

RESPONSE FREQUENCY CURVEQ1

HARMONIC EXCITATIONQ1

RESONANCEQ1

Abstract

In this research, the nonlinear rolling motion of ships is studied. After obtaining the governing equation of ROLL MOTION, the METHOD OF MULTIPLE SCALES perturbation technique is applied to solve the nonlinear differential equation. The ship response is studied with and without HARMONIC EXCITATION. In order to validate the responses obtained by the METHOD OF MULTIPLE SCALES, the response was compared with the numerical solution. Finally, the effects of damping coefficient and restoring arm on the frequency response function and RESONANCE frequency have been studied.

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APA: Copy

JALILI, MOHAMMAD MAHDI, EBRAHIMI, SAEED, & RAHMAT, NEDA. (2017). ANALYTICAL SOLUTION OF NONLINEAR ROLLING MOTION OF SHIP USING THE METHOD OF MULTIPLE SCALES. JOURNAL OF MODELING IN ENGINEERING, 15(49 ), 125-137. SID. https://sid.ir/paper/173747/en

Vancouver: Copy

JALILI MOHAMMAD MAHDI, EBRAHIMI SAEED, RAHMAT NEDA. ANALYTICAL SOLUTION OF NONLINEAR ROLLING MOTION OF SHIP USING THE METHOD OF MULTIPLE SCALES. JOURNAL OF MODELING IN ENGINEERING[Internet]. 2017;15(49 ):125-137. Available from: https://sid.ir/paper/173747/en

IEEE: Copy

MOHAMMAD MAHDI JALILI, SAEED EBRAHIMI, and NEDA RAHMAT, “ANALYTICAL SOLUTION OF NONLINEAR ROLLING MOTION OF SHIP USING THE METHOD OF MULTIPLE SCALES,” JOURNAL OF MODELING IN ENGINEERING, vol. 15, no. 49 , pp. 125–137, 2017, [Online]. Available: https://sid.ir/paper/173747/en

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