Abstract
It is the purpose of this report to formulate and solve theoretically the forced motion problems of cantilevered circular cylindrical shells partially filled with liquid subjected horizontal earthquake excitations. For containers, thin cylindrical shells are considered and the internal liquid is assumed to be ideal liquid. The fundamental equations are obtained based on the Donnell approximation, the linear elastic shell theory with small deflection and the linear potential flow theory. The unit mode displacement is obtained by approximating displacement for the axial direction as series of displacement functions for cantilevered beam and by applying the Rayleigh-Ritz method. Assuming that the pressure of internal liquid is devided into the convective pressure and impulsive pressure, the impulsive pressure is represented as the sum of pressures induced by rigid motion and elastic deformation of the shell. Since the frequencies of the first few dominant modes of liquid sloshing are usually much smaller than the frequency of liquid-shell system, the effect of elastic deformation of the shell to the convective pressure are neglected. Numerical computations proved that the response pressure considering elastic deformation of shell is larger than the pressure considering only rigid motion of shell.
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