Experimental Investigation of Nonlinear Vibration of a Thin Rectangular Plate

被引:13
作者
Abdulkerim, Sohayb [1 ]
Dafnis, Athanasios [2 ]
Riemerdes, Hans-G [2 ]
机构
[1] Gaziantep Univ, Dept Aircraft & Aerosp Engn, Univ Bulvars, TR-27510 Sehitkamil, Gaziantep, Turkey
[2] Rhein Westfal TH Aachen, Dept Aerosp Struct, Wullnerstr 7, D-52062 Aachen, Germany
关键词
Dynamic analysis; experimental investigation; frequency/modal analysis; nonlinear analysis; plate/shell structures; LARGE-AMPLITUDE VIBRATIONS; IDENTIFICATION;
D O I
10.1142/S1758825119500595
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, the geometrical nonlinear vibrations of a rectangular plate have been investigated experimentally and numerically. The experiment was conducted on a thin rectangular plate. The plate was excited close to the first fundamental natural frequency. The time history of velocities of the central point has been measured by using a laser vibrometer. While the numerical investigation has been carried using the Finite Element Method (FEM), the numerical results are validated by analytical and experimental results. In order to develop and test the extraction procedure of the bifurcation plot of a dynamical system, a chaotic pendulum has been analyzed. Then, the same successful code has been used again for the experimental dynamics of the investigated plate. The plate has been forced with a sinusoidal input at a gradually stepped and increased amplitude. For every step, the phase portrait is determined, and then processed to extract the bifurcation map. The resulted map has shown successfully the linear range where the classical plate theory is adequate, and the boundary at which the transition to nonlinearity has occurred. The bifurcation has occurred when the lateral amplitude has reached 50% of the plate thickness.
引用
收藏
页数:17
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