ANALYSIS OF NONLINEAR VIBRATION FOR ELASTIC SHELLS IN A NON NEWTONIAN REFERENCE FRAME

The kinetic description of elastic shell is presented under a non Newtonian reference frame Based on the Hamilton's principle, a system of nonlinear equations governing the motion of the moderate thick shells are set up in a non Newtanian reference frame By using the multiply scale method and the harmonic balance method, the nonlinear vibration of circular cylindrical shells are analyzed