Free vibration and aeroelastic analyses of rectangular cantilever plates including correlation with experiment
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 237
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شناسه ملی سند علمی:
JR_TAVA-6-1_007
تاریخ نمایه سازی: 8 اردیبهشت 1400
چکیده مقاله:
In the present study, the free vibration and aeroelastic problems of rectangular cantilever plates with varying aspect ratio have been investigated. The classical plate theories based on the Kirchhoff hypothesis have been adopted to simulate the structural response of the plate. The Peter’s theory is selected to model the aerodynamic pressure on the plate due to the incompressible air flow. To discretize the partial deferential equations of the system, the ayleigh-Ritz method has been applied and by using Lagrange equations, the mass, damping, and stiffness matrices have been derived. Various numbers of mode shapes are used to show the convergence of the response of the system . The theoretical results including the natural frequencies and flutter speed have been evaluated by using the experimental data obtained from the ground vibration experiment carried out at Duke University. It has been shown that fora relatively low aspect ratio rectangular cantilever plate, using some techniques in Rayleigh–Ritz method leads to an improvement of the results for both the natural frequencies and flutter speed. This technique ends up having two sets of decoupled equations and consequently, the number of equations that have to be solved simultaneously is divided by two. This could lead to a reduction of computational time significantly.
کلیدواژه ها:
نویسندگان
Firooz Bakhtiari-Nejad
Amirkabir University
Amir Hossein Modarres-Aval
Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran.
Hamidreza Rostami
Department of Ocean Engineering, Amirkabir University of Technology, Tehran, Iran.
Earl Dowell
Department of Mechanical Engineering, Duke University Durham, North Carolina, USA.
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