Abstract
The deformation and dynamic behavior mechanism of submerged thin shell structures are in principle of a non-conservative nature as circulatory system, because the working load is the follower type as hydrostatic pressure that works vertically to its deformed surface at all times. The disturbance forces of various types, existing in marine environment, lead the complicated dynamic behaviors of the thin shell in the circulatory system of load-deflection. The dynamic behavior of a thin shell undergoing large deflections with small disturbances should be clarified for critical analysis.
This paper deals with the correlation dimensions corresponding to dynamic behaviors of a thin shell subjected to follower forces with small disturbances. For that purpose, the finite deformation and dynamic behavior of the thin shell are numerically analyzed by the governing equations in a mono-clinically particle coordinates description. Then, the correlation dimensions and Poincare sections are calculated corresponding to dynamic behaviors of a thin shell. By the results of these studies, it is clarified that the correlation dimension related to dynamic behaviors gives an aim of changing from quasi-oscillatory motion to non-periodic motion. Moreover, the correlation dimension makes clear that the difference of the route going to unstable state between two scenarios as “Self-organization type” instability and “Self-assembly type” instability.
