Coupled Vibration Analysis Of A Cylindrical Shell Including A Liquid,Connected With Piping And Attached With Unaxisymmetric Structures

Abstract

Recently, great earthquakes have occurred in the world. The damages due to these earthquakes can be said to become more serious as our social systems become larger and complicated. In this paper, the vibration analysis of a liquid storage container fixed on a foundation with piping and attached structures is taken into consideration. The coupled vibration analysis among the cylindrical shell, the liquid contained in the shell, the attached mass due to unaxisymmetric attached structures and the attached stiffness due to the flexibility of piping is performed. The fixed-free cylindrical shell is dealt with by the Fliigge's shell theory analytically, the liquid by the potential flow theory and the unaxisymmetric attached structures as added mass and the piping as added stiffness. Following these treatments, the coupled equations of motion are obtained analytically. Further, the seismic response analysis of the liquid storage container with unaxisymmetric attached mass and stiffness subjected to seismic excitation is performed. And, a part of the present numerical analysis is compared with the experiment in my former report.