Indexed by:
Abstract:
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.
Keyword:
Reprint Author's Address:
Email:
Source :
MATHEMATICAL PROBLEMS IN ENGINEERING
ISSN: 1024-123X
Year: 2019
Volume: 2019
ESI Discipline: ENGINEERING;
ESI HC Threshold:136
JCR Journal Grade:3
Cited Count:
WoS CC Cited Count: 2
SCOPUS Cited Count: 4
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 10
Affiliated Colleges: