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- W2359548491 abstract "Superharmonic resonance arisen in the nonlinear oscillator of simply supported rectangular thin plate subjected to a harmonic parametric excitation is investigated by theoretical analysis and experiments in the present work. Based on the dynamic analog of the Karman plate equations, the partial differential equations governing the vibrations of the thin plate are reduced to a Duffing equation with the term of harmonic parametric excitation. By introducing a mathematical transformation into the Duffing equation, it makes clear that the nonlinear dynamic system of the buckled plate contains terms of quadratic and cubic nonlinearities. The modulating mechanism of the quadratic nonlinearity on the nonlinear system, and the 2 times superharmonic resonance caused by the quadratic nonlinearity, are investigated by means of perturbation technique. The results from the perturbation analysis are that, because of the modulation action of the quadratic nonlinearity, the amplitude of the natural response don't decline with time in some excitation ranges, and the natural response participates in the system response with 2 time of the excitation frequency. It has been verified by experiments based on the theoretic analysis that 2 times superharmonic resonance arises in the nonlinear dynamic system of buckled plate in some parametric regions, and the response participated by 2 times superharmonic resonance is steady and periodic." @default.
- W2359548491 created "2016-06-24" @default.
- W2359548491 creator A5029485320 @default.
- W2359548491 date "2002-01-01" @default.
- W2359548491 modified "2023-09-25" @default.
- W2359548491 title "INVESTIGATE ON THE EFFECT OF QUADRATIC NONLINEARITY ON THE BEHAVIOR OF THE BUCKLED PLATE VIBRATION SYSTEM" @default.
- W2359548491 hasPublicationYear "2002" @default.
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