Indexed by:
Abstract:
By using an extended Melnikov method on multi-degree-of-freedom Hamiltonian systems with perturbations, the global bifurcations and chaotic dynamics are investigated for a parametrically excited, simply supported rectangular buckled thin plate. The formulas of the rectangular buckled thin plate are derived by using the von Karman type equation. The two cases of the buckling for the rectangular thin plate are considered. With the aid of Galerkin's approach, a two-degree-of-freedom non-autonomous nonlinear system is obtained for the non-autonomous rectangular buckled thin plate. The high-dimensional Melnikov method developed by Yagasaki is directly employed to the non-autonomous ordinary differential equation of motion to analyze the global bifurcations and chaotic dynamics of the rectangular buckled thin plate. Numerical method is used to find the chaotic responses of the non-autonomous rectangular buckled thin plate. The results obtained here indicate that the chaotic motions can occur in the parametrically excited, simply supported rectangular buckled thin plate.
Keyword:
Reprint Author's Address:
Email:
Source :
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
ISSN: 1674-7348
Year: 2012
Issue: 9
Volume: 55
Page: 1679-1690
6 . 4 0 0
JCR@2022
ESI Discipline: PHYSICS;
JCR Journal Grade:3
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 9
SCOPUS Cited Count: 9
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 4
Affiliated Colleges: