R. Peek et M. Elbkaily, MECHANICAL ANALOGIES FOR LIQUID STORAGE TANKS AND ACTION OF ECCENTRICGRAVITY LOADS, Journal of engineering mechanics, 123(6), 1997, pp. 561-567
Mechanical analogies are widely used to represent the action of hydrod
ynamic pressures induced by motion of the tank due to earthquake or ot
her excitation. The liquid in the tank is typically replaced by two ma
sses, one rigidly attached to the container, which represents impulsiv
e pressures, and one connected to the container via a spring, which re
presents the first sloshing mode. For taller tanks the action of eccen
tric gravity loads, or the so-called P - Delta effects, should be cons
idered, but questions arise as to what is the proper way of including
these effects in the context of the mechanical analogies. This paper a
ddresses these questions carefully. A general approach to obtain the p
roperties of the equivalent mechanical model for a container of any sh
ape is also described.