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177436

Vibration Control for a Coupled Pitch- roll Ship Model Via a Negative Cubic Velocity Feedback Control

Article

Last updated: 23 Jan 2023

Subjects

-

Tags

Mathematics

Abstract

One of the most essential ship reactions to waves is roll motion. Due to the intricacy of ship wave interactions and their sensitivity, predicting such a reaction is extremely challenging. Because vibration motion is an undesirable occurrence, it must be removed, decreased, or controlled. A coupled Pitch- roll ship model with negative cubic velocity feedback control subjected to parametric excitations is premeditated and solved in this paper. The method of multiple time scales is applied to scrutinize the response of the two modes of the system neighbouring the simultaneous sub-harmonic, and internal resonance situation. Besides, the steady-state solution is determined through the Rung-Kutta Method (RKM) of fourth order. Stability of the steady state solution near this resonance case is discussed and studied applying Lyapunov's first indirect method and Routh- Hurwitz criterion. The influences of the different parameters on the steady state solution are reconnoitred and discussed. The controller effects on the stability are clarified. Simulation results are accomplished with the help of MATLAB and Maple software programs.

DOI

10.21608/erjeng.2021.79754.1018

Keywords

Resonance, active feedback controller, Stability analysis

Authors

First Name

Y.

Last Name

Amer

MiddleName

A.

Affiliation

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Email

yaser31270@yahoo.com

City

Zagazig

Orcid

-

First Name

Taher

Last Name

A. Bahnasy

MiddleName

A. Bahnasy

Affiliation

Department of physics and Engineering Mathematics, Faculty of engineering, Tanta, Egypt

Email

taher.bahnasy@f-eng.tanta.edu.eg

City

Tanta

Orcid

0000-0002-6380-6963

First Name

Ashraf

Last Name

Elmhalawy

MiddleName

M.

Affiliation

TantaPhysics and Engineering Mathematics Department, Faculty of Engineering, Tanta University, Tanta, Egypt. , Egypt

Email

a.almahalawy@f-eng.tanta.edu.eg

City

Tanta

Orcid

-

Volume

5

Article Issue

2

Related Issue

24404

Issue Date

2021-06-01

Receive Date

2021-06-08

Publish Date

2021-06-01

Page Start

31

Page End

38

Print ISSN

2356-9441

Online ISSN

2735-4873

Link

https://erjeng.journals.ekb.eg/article_177436.html

Detail API

https://erjeng.journals.ekb.eg/service?article_code=177436

Order

6

Type

Original articles

Type Code

1,606

Publication Type

Journal

Publication Title

Journal of Engineering Research

Publication Link

https://erjeng.journals.ekb.eg/

MainTitle

-

Details

Type

Article

Created At

23 Jan 2023