Next Article in Journal
Two Strips Problem Resting on an Elastic Foundation
Previous Article in Journal
A Template Based Graph Reduction System Based on Combinators
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
MCA
Volume 7
Issue 3
10.3390/mca7030263
mca-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles thumb_up
...
Endorse textsms
...
Comment
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Response of a Parametrically Excited System with Quadratic and Cubic Non-Linearities

by
M. Eissa
1,
S. A. EI-Serafi
1,
M. M. Kamel
1,
M. Z. Rageb
2 and
Y. A. Amer
2,*
1
Dep. of Eng. Math., Faculty of Electronic Engineering, Menouf 32952, Egypt
2
Department of Mathematics, Faculty of Science, Zagazig, Egypt
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2002, 7(3), 263-274; https://doi.org/10.3390/mca7030263
Published: 1 December 2002
Versions Notes

Abstract

An investigation is presented of the response of a three-degree-of-freedom system with quadratic and cubic non-linearities under parametric excitations. The problem of suppressing the vibration of a structure that is subjected to combination parametric excitation is considered, where the vibration amplitudes resulting from such resonance can not be controlled. The fixed points of the three equations are obtained and their stability are determined. Numerical solutions are conducted to obtain the response of the three modes and their stability. Effects of the different parameters on both response and stability of the system are also investigated.
Keywords: Resonance; Power series; Stability; System response; Multi excitation force Resonance; Power series; Stability; System response; Multi excitation force

Share and Cite

MDPI and ACS Style

Eissa, M.; EI-Serafi, S.A.; Kamel, M.M.; Rageb, M.Z.; Amer, Y.A. Response of a Parametrically Excited System with Quadratic and Cubic Non-Linearities. Math. Comput. Appl. 2002, 7, 263-274. https://doi.org/10.3390/mca7030263

AMA Style

Eissa M, EI-Serafi SA, Kamel MM, Rageb MZ, Amer YA. Response of a Parametrically Excited System with Quadratic and Cubic Non-Linearities. Mathematical and Computational Applications. 2002; 7(3):263-274. https://doi.org/10.3390/mca7030263

Chicago/Turabian Style

Eissa, M., S. A. EI-Serafi, M. M. Kamel, M. Z. Rageb, and Y. A. Amer. 2002. "Response of a Parametrically Excited System with Quadratic and Cubic Non-Linearities" Mathematical and Computational Applications 7, no. 3: 263-274. https://doi.org/10.3390/mca7030263

APA Style

Eissa, M., EI-Serafi, S. A., Kamel, M. M., Rageb, M. Z., & Amer, Y. A. (2002). Response of a Parametrically Excited System with Quadratic and Cubic Non-Linearities. Mathematical and Computational Applications, 7(3), 263-274. https://doi.org/10.3390/mca7030263

Article Metrics

Back to TopTop