Analysis the dynamic stability of plate

In this paper a numerical approach to analyze the dynamic stability of a ribbed plate subjected to harmonic loading is presented. The harmonic balance method and the modified Newmark method of direct integration to solve the equations of motion are used, Unstable regions which include resonant frequencies of the external load are discussed. Then the Stability loss occurs by flutter, i.e. exponentially growing oscillations. The modified Newmark direct integration method to analyze the equations of motion is used. Some results which describe the time history of resonance vibrations (unstable) and those nonresonances (stable) are presented. The  effects of constraint parameters such a modulation depth beta and constraint frequency fi are investigated. Also the initial load and internal damping are taken into account. Physical rigidity of plate may be changed by adding initial tension load, and currently resonance vibration will transform to non-resonance. Stability of the system by means of initial load is the more effective, the larger is the system rigidity in the direction of putting the load, as then may be introduced larger value of initial load. Stability of the system by means of initial load is the more effective, the larger is the system rigidity.