Seismic Large Amplitude Liquid Sloshing—Theory

by Medhat A. Haroun, Univ of California, United States,
Wei Chen, Univ of California, United States,

Document Type: Proceeding Paper

Part of: Seismic Engineering: Research and Practice


The sloshing phenomenon in seismically-excited, rectangular, liquid storage tanks is addressed. In particular, a semi-analytical method to study the effects of large amplitude sloshing on the tank's response under arbitrary horizontal excitations is proposed. The nonlinearity of both the kinematic and the dynamic conditions is considered. Because the location of the free surface is unknown, a numerical scheme is developed to transform a two-dimensional uniform rectangular grid into a boundary conforming curvilinear grid with prescribed arbitrary boundaries. A set of governing nonlinear equations is obtained and solved in the uniform rectangular mesh by employing a finite difference scheme.

Subject Headings: Seismic tests | Seismic effects | Arbitration | Grid systems | Storage tanks | Excitation (physics) | Kinematics | Structural response

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