Pressure and stress analysis of liquid‐filled cylindrical tank

Abstract

During earthquakes, the liquid‐filled storage tank generates hydrodynamic pressures, in addition to hydrostatic pressure, on the solid domain of the tank. The theoretical background of hydrodynamic pressure analysis, as well as the numerical simulation of the liquid‐filled cylindrical steel reinforced concrete tank, is the focus of this paper. The finite element method (FEM) modeling, along with arbitrary Lagrangian–Eulerian and fluid–structure interactions formulation, is used for simulating the seismic response of cylindrical steel reinforced concrete liquid‐filled tank, fixed to the rigid foundation. The Loma Prieta accelerogram is utilized for recording the seismic ground motion. In the numerical study, two states are observed: (1) static condition where only hydrostatic pressure acts and (2) seismic excitation where hydrodynamic pressure occurs. When exposed to an earthquake situation, the tank liquid gives the total pressure of the liquid domain. The dynamic analysis considers the pressure response of the liquid domain, as well as the stress response of the solid domain of the coupled system, that is, liquid‐filled cylindrical steel reinforced concrete tank.

Examining the contact problem of a functionally graded layer supported by an elastic half‐plane with the analytical and numerical methods

“…Methods such as integral transformation techniques, finite differences, and finite elements can be examples of these studies. The finite element method is important in solving contact problems in terms of allowing the relationship of elements in a particular geometry to each other, the mechanical and physical properties of materials, and the definition of complex boundary conditions [37][38][39][40][41][42][43][44][45][46].…”