追従力を受ける薄肉シェルの擾乱による動的不安定とその生起要因について

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The deformation and dynamic behavior mechanism of submerged thin shell structures are in principle of a non-conservative nature, because the working load is the follower type as hydrostatic pressure that works vertically to its deformed surface at all times. Also, disturbance forces of various types, existing in a marine environment, 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 thin shell should be clarified to be the complicated phenomenon undergoing large deflections with small disturbances. This paper deals with a characteristic analysis of the occurring mechanisms of dynamic instability on a thin shell subjected to follower forces with small disturbances. For that purpose, the governing equations for finite deformation and dynamic behavior of the thin shell are defined in a mono-clinically particle coordinates description. Then, the stability region chart of the disturbed equilibrium in an excitation field is analyzed numerically, and the natural frequencies of the partial spherical shell are calculated by the spectrum analysis of response motion. Moreover, the principal factors of dynamic instability are investigated based on the relation between the stability region chart and the natural frequencies. By the results of these studies, it is clarified that dynamic instabilities of a thin shell are divided into two types of phenomena that depend on the vibration resonance and the change of form-resistance corresponding to follower force.
2003-03-20

追従力を受ける薄肉シェルの擾乱による動的不安定とその生起要因について

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