THE PROBLEM OF FORCED NONLINEAR VIBRATIONS OF CYLINDRICAL SHELLS COMPLETELY FILLED WITH LIQUID

摘要

The forced nonlinear vibrations of a thin cylindrical shell completely filled with a liquid are studied. A refined mathematical model is used. The model takes into account the nonlinear terms up to the fifth power of the generalized displacement of the shell. The Bogolyubov-Mitropolsky averaging method is used to plot amplitude-frequency response curves for steady-state vibrations. The steady-state vibrations at the frequency of principal harmonic resonance are analyzed for stability.