球形液体貯槽の地震応答解析

Abstract

In order to confirm the safety of the strength of the large liquid-storage spherical tanks subjectedto earthquake, the response behavior of them should be analyzed in consideration of the interactionsamong the liquid, tank and supporting structure. Analytical method as interaction system isundertaken here, introducing a modelization about the inner liquid. The inner liquid is treated asthe conbination of hemi-spherical part and the rest which can be devided into some thin circular disks.Representing the spatial mode shapes of the spherical tank in a feasible form as finite series of Le-gendre bi-polinomials, which satisfy boundary conditions and orthogonal condition, analytical solu-tions of the interaction system are given. Thence, prosecuting the numerical calculation of thesesolutions, some characteristics of the response behavior of the system subject to sinusoidal and realearthquake are discussed.