TY - GEN
T1 - A new kind of energy transfer from the high-frequency to low-frequency mode in a composite laminated plate
AU - Zhang, Wei
AU - Guo, Xiang-Ying
AU - Wang, Qian
AU - Liu, Cui-Cui
AU - He, Yun-Cheng
PY - 2010
Y1 - 2010
N2 - This paper focuses on the analysis on a new kind of nonlinear resonant motion with the low-frequency large-amplitude, which can be induced by the high-frequency small-amplitude mode through the mechanism of modulation of amplitude and phase. The system investigated is a simply supported symmetric cross-ply composite laminated rectangular thin plate subjected to parametric excitations. Experimental research has been carried out for the first time. The test plate was excited near the first natural frequency with parametric forces and the above mentioned high-to-low frequency mode has been observed, whose frequency is extremely lower than the first natural frequency. Theoretical job goes to analysis the above phenomenon accordingly. Based on the Reddy's third-order shear deformation plate theory and the von Karman type equation, the nonlinear governing equations of the simply supported symmetric cross-ply composite laminated rectangular thin plate subjected to parametric excitations are formulated. The Galerkin method is utilized to discretize the governing partial differential equations into a two-degree-of-freedom nonlinear system. Numerical simulation is conducted to investigate this non-autonomous system subsequently. The results of numerical simulation demonstrate that there is a qualitative agreement between the experimental observation and the theoretical result. Besides, the multi-pulse chaotic motions are also reported in numerical simulations. Copyright © 2010 by ASME.
AB - This paper focuses on the analysis on a new kind of nonlinear resonant motion with the low-frequency large-amplitude, which can be induced by the high-frequency small-amplitude mode through the mechanism of modulation of amplitude and phase. The system investigated is a simply supported symmetric cross-ply composite laminated rectangular thin plate subjected to parametric excitations. Experimental research has been carried out for the first time. The test plate was excited near the first natural frequency with parametric forces and the above mentioned high-to-low frequency mode has been observed, whose frequency is extremely lower than the first natural frequency. Theoretical job goes to analysis the above phenomenon accordingly. Based on the Reddy's third-order shear deformation plate theory and the von Karman type equation, the nonlinear governing equations of the simply supported symmetric cross-ply composite laminated rectangular thin plate subjected to parametric excitations are formulated. The Galerkin method is utilized to discretize the governing partial differential equations into a two-degree-of-freedom nonlinear system. Numerical simulation is conducted to investigate this non-autonomous system subsequently. The results of numerical simulation demonstrate that there is a qualitative agreement between the experimental observation and the theoretical result. Besides, the multi-pulse chaotic motions are also reported in numerical simulations. Copyright © 2010 by ASME.
KW - Composite laminated plate
KW - Energy transfer
KW - Nonlinear vibration
KW - Parametrical excitation
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-80055002493&origin=recordpage
U2 - 10.1115/DETC2010-28792
DO - 10.1115/DETC2010-28792
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9780791844137
VL - 5
SP - 1029
EP - 1038
BT - Proceedings of the ASME Design Engineering Technical Conference
T2 - ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010
Y2 - 15 August 2010 through 18 August 2010
ER -