G.F.Zolotenko On mathematical models of seismic oscillations of free surface fluid in vertical cylindrical tank |
Applied hydromechanics, Vol. 7 (79) ¹ 1, (2005) |
| The review of the known determinate and probabilistic models of seismic fluid oscillations in cylindrical tanks is made. As a development of existing models the model of nonlinear seismic fluid oscillations is offered. The offered model is based on the exact integro-differential equations of Hamilton's type which describe oscillations of incompressible inviscid fluid performing a potential absolute motion in moving tank. The tank's motion is translational and three-dimensional. From this model the general linear equations of seismic fluid motion under horizontal (two-dimensional) and vertical seismic accelaration of ground is obtained. It is observed the interconnection of these general equations with the known equations by Okchotsimsky. The results of the Nikolaenko's correlation theory of the free surface seismic oscillations are restored and proved again. As an example it is considered the fluid oscillations in the tank during strong earthquake on June, 16, 1964 in Niigata (Japan). |
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KEY WORDS: *** |
| TEXT LANGUAGE: Russian |