Bifurcation Analysis of Composite Laminated Piezoelectric Rectangular Plate Structure in the Case of 1:2 Internal Resonance
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-20
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
In this paper, the authors study the bifurcation problems of the composite laminated piezoelectric rectangular plate structure with three bifurcation parameters by singularity theory in the case of 1:2 internal resonance.
The sign function is employed to the universal unfolding of bifurcation equations in this system.
The proposed approach can ensure the nondegenerate conditions of the universal unfolding of bifurcation equations in this system to be satisfied.
The study presents that the proposed system with three bifurcation parameters is a high codimensional bifurcation problem with codimension 4, and 6 forms of universal unfolding are given.
Numerical results show that the whole parametric plane can be divided into several persistent regions by the transition set, and the bifurcation diagrams in different persistent regions are obtained.
American Psychological Association (APA)
Guo, Y. H.& Zhang, Wei. 2019. Bifurcation Analysis of Composite Laminated Piezoelectric Rectangular Plate Structure in the Case of 1:2 Internal Resonance. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-23.
https://search.emarefa.net/detail/BIM-1196702
Modern Language Association (MLA)
Guo, Y. H.& Zhang, Wei. Bifurcation Analysis of Composite Laminated Piezoelectric Rectangular Plate Structure in the Case of 1:2 Internal Resonance. Mathematical Problems in Engineering No. 2019 (2019), pp.1-23.
https://search.emarefa.net/detail/BIM-1196702
American Medical Association (AMA)
Guo, Y. H.& Zhang, Wei. Bifurcation Analysis of Composite Laminated Piezoelectric Rectangular Plate Structure in the Case of 1:2 Internal Resonance. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-23.
https://search.emarefa.net/detail/BIM-1196702
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196702