The Research of Nonlinear Vibration of Damped Circular Sandwich Plate with Initial Deflection
The forced vibration of damped circular sandwich plate with initial deflection is studied in this paper. From the movement equation of circular sandwich plate showed in displacement components, got the relevant nonlinear vibration equation by Galerkin method. Under the loosely clamped boundary condition, got the standard Duffing equation with square and cubic minor items by dimension less process, and gaind the quadratic analytical solution of the principal resonance problem of circular sandwich plate by means of the multi-scale method, the frequency response equation when the principal resonance is excitated, and the necessary and sufficient condition on stability of the vibration is are obtained synchronously. Discussed the infection to the amplitude while the correlative physical and geometric parameters are changing, drew the trajectories in moving phase planes during the stabilization process, and the stabilities and singularities of the solutions are analyzed.
circular sandwich plate multi-scale method frequency response equation singular point nonlinear vibration
Du Guojun Yu Chao Hu Yuda
School of Civil Engineering and Mechanics Yanshan University Qinhuangdao,P.R.China
国际会议
上海
英文
1095-1098
2009-11-20（万方平台首次上网日期，不代表论文的发表时间）