The stability and nonlinear principal resonance of rectangular orthotropic thin plate excited by a harmonic force were studied in this paper, under the condition of four sides simply supported. Based on the vibration differential equation of orthotropic laminated plates, the nondimensional Duffing nonlinear forced vibration equation was deduced by using Galerkin method. The amplitude frequency response equation of system steady motion under principal resonance was obtained by means of averaging method. Based on Lyapunov stable theory, the critical conditions of steadystate solutions’ stability were got. By some examples, the amplitudefrequency curves, amplitudeexcitation amplitude curves and phase trajectories in moving phase plane were derived under different situations. The stability of solution and the influence of different parameters on nonlinear resonance properties of system were analyzed.
吕书锋,胡宇达.正交各向异性叠层板的非线性主共振分析[J].动力学与控制学报,2009,7(1):35~38; Lu Shufeng, Hu Yuda. Nonlinear principal resonance of orthotropic laminated plates[J]. Journal of Dynamics and Control,2009,7(1):35-38.