DYNAMICS OF THIN ELASTIC PLATES IN LARGE OVERALL MOTIONS CONSIDERING GEOMETRIC NON-LINEARITY AND COUPLING DEFORMATION
作大运动弹性薄板中的几何非线性与耦合变形

The dynamical equations of thin elastic plates in large overall motions considering theeffects of geometric non-linearity and coupling deformation are obtained in this paper, and whicheffects to the dynamics of this system are analyzed. The plots of phase plane and time historyin case of considering geometric non-linearity and coupling deformation and only considering geometric non-linearity are shown in Fig.2 and Fig.3 respectively, and the plot of displacement oftransverse vibration is shown in Fig.4. The conclusions can obtained that the system is stable andconvergent and the chaotic motions will happen in this system through the bifurcation of homo-climic orbits only considering the effects of non-linearity form Fig.2 and Fig.3, and the system isstable and its numerical result is convergent only considering the effects of coupling deformationwhich spin speed is 3.14 rad/s and spin-up time is 30 s.