Abstract
The submerged shell-like lattice structures with membrane are subjected to follower type as hydrostatic pressure at all times and disturbance forces of various types, existing in a marine environment. These force system may lead the structure to exhibit dynamic instabilities at a much earlier stage than that could be predicted by a static stability criterion. The dynamic behavior of a circular arch, as basic structural element of shell-like lattice, should be investigated the complicated phenomenon undergoing large deflections with small disturbances. This paper deals with the correlation dimensions corresponding to dynamic behaviors of a circular arch subjected to follower forces with small disturbances. For that purpose, the finite deformation and dynamic behavior of a circular arch are numerically analyzed in a mono-clinically particle coordinates description. Then, the oscillatory and chaotic behaviors of a circular arch are investigated by executing the power spectrum, phase plane portraits and Poincare section. Moreover, the correlation dimensions are calculated corresponding to dynamic behaviors of a circular arch. This research can be clarified that the correlation dimensions related to dynamic behaviors may give a sign of changing from quasi-oscillatory motion to non-periodic motion and this fact can indicate the possibility of making use of the correlation dimension as a stability index.
| Translated title of the contribution | Correlation Dimensions Corresponding to Dynamic Behaviors of a Circular Arch Subjected to Follower Forces with Small Disturbances |
|---|---|
| Original language | Japanese |
| Pages (from-to) | 205-216 |
| Number of pages | 12 |
| Journal | 西部造船会々報 |
| Volume | 101 |
| Publication status | Published - Mar 12 2001 |