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386974

IRC controller for suppressing the vibrations of cantilever beam excited by an external force

Article

Last updated: 04 Jan 2025

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Abstract

Vibration of structures is often an unwanted phenomena and should be avoided or controlled. In this paper, we study the effect of an integral resonant controller (IRC) on reducing the vibrations of the cantilever beam excited by an external force. The suggested system has two degree of freedom which is a non-linear system with the fifth and cubic nonlinearity terms excited by an external force. The second order approximate solutions of the system equation are sought using the multiple scale perturbation (MSPT). The frequency response equation is studied to test the behavior of the steady state solutions at the primary resonance case (Ω≅ω). The behavior of uncontrolled and controlled system is presented using time histories. Also, the stability of the system is investigated applying frequency response equation using the Runge-Kutta fourth order method. To scrutinize the time histories of the system before and after using IRC. The effects of different parameters of the system are studied numerically.

DOI

10.21608/bfszu.2024.260691.1357

Keywords

Cantilever beam, Multiple scale, Integral resonant controller and stability

Authors

First Name

Sara

Last Name

Mahmoud

MiddleName

Saad

Affiliation

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

Email

sarasaadmath@gmail.com

City

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Orcid

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First Name

yeser

Last Name

Amer

MiddleName

-

Affiliation

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

Email

yeser31270@yahoo.com

City

-

Orcid

-

First Name

Ashraf

Last Name

EL-Sayed

MiddleName

-

Affiliation

Basic sciences department, Modern Academy

Email

ashraftaha211@yahoo.com

City

-

Orcid

-

First Name

M. N.

Last Name

Abd EL_ Salam

MiddleName

-

Affiliation

Basic sciences department, Higher Technological Institute, Tenth of Ramadan City

Email

mansour.naserallah@yahoo.com

City

-

Orcid

-

Volume

2024

Article Issue

3

Related Issue

48845

Issue Date

2024-10-01

Receive Date

2024-01-09

Publish Date

2024-10-01

Page Start

131

Page End

139

Print ISSN

1110-1555

Link

https://bfszu.journals.ekb.eg/article_386974.html

Detail API

https://bfszu.journals.ekb.eg/service?article_code=386974

Order

12

Type

Original Article

Type Code

838

Publication Type

Journal

Publication Title

Bulletin of Faculty of Science, Zagazig University

Publication Link

https://bfszu.journals.ekb.eg/

MainTitle

IRC controller for suppressing the vibrations of cantilever beam excited by an external force

Details

Type

Article

Created At

24 Dec 2024