Xinzong Wang1, Xiaofang Kang1,2,*, Qingguan Lei1
CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.2, pp. 1749-1771, 2023, DOI:10.32604/cmes.2023.027745
Abstract The chaotic motion behavior of the rectangular conductive thin plate that is simply supported on four sides by
airflow and mechanical external excitation in a magnetic field is studied. According to Kirchhoff ’s thin plate theory,
considering geometric nonlinearity and using the principle of virtual work, the nonlinear motion partial differential
equation of the rectangular conductive thin plate is deduced. Using the separate variable method and Galerkin’s
method, the system motion partial differential equation is converted into the general equation of the Duffing
equation; the Hamilton system is introduced, and the Melnikov function is used to analyze the Hamilton system,… More >
Graphic Abstract
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