Nonlinear Vibration Of Circular Sandwith Plate Under Static Load

The nonlinear bend and the large amplitude free vibration for circular sandwich plate under uniformed loading and circumjacent loading is researched firstly. First of all, exact solution of static loading of sandwich plate under circumjacent loading is given firstly. Based on the studies above , the nonlinear vibration fundmental equation of sandwich under circumjacent loading is established. At the same time, modified iteration method is employed to solve this problem and the influence of static loading on nonlinear vibration frequency is discussed. Consequently, for the sandwich plate under uniformed loading and circumjacent loading, exact solution of static loading is given, on this based the nonlinear vibration fundmental equation of sandwich under uniformed loading and circumjacent loading is established. During this course, based on time mode hypothesis, the deflection and stress function are assumed as the separation form of time and space function, the time function employs the simple harmonic, the space function is unknown. The vibration mode assumed includes two unknown natural values, that is, the amplitude frequency and one small value of "drift" of nonlinear vibrator that made the plate asymmetrical rigidity property caused by the static reflection. Both of them are related with load, boundary conditions and amplitude. Substituting the assumed mode functions to the calculus equations, then the control equation of the space mode and the algebra equation is derived. The approximate analytical solution of this problem under these boundary conditions is provided in this paper by the modified iteration method, based on which, the nonlinear vibration of the circular sandwich plates under uniformed load and circumjacent load in plate uniform pressure at the outer edges is made research on.