W. Wunderlich et al., DYNAMIC STABILITY OF NONLINEAR SHELLS OF REVOLUTION UNDER CONSIDERATION OF THE FLUID SOIL-STRUCTURE INTERACTION, International journal for numerical methods in engineering, 37(15), 1994, pp. 2679-2697
The dynamic behaviour of liquid-filled shells of revolution is investi
gated considering the soil-structure interaction and the fluid-structu
re interaction, respectively. In the circumferential direction the loa
ds and variables are approximated by Fourier series. The shell is mode
lled through shell ring elements including non-linear behaviour, coupl
ed with isoparametric continuum ring elements and special infinite ele
ments for the soil and isoparametric pressure ring elements for the fl
uid. Transient loadings like earthquake excitation and the non-lineari
ties of the shell and the soil require an analysis in the time domain.
To reduce the size of the problem, linear parts of the system are con
densed by the substructure technique. The soil region is divided into
two parts, a near field permitting non-linearities like plastification
or uplifting of the shell, and a far field for the treatment of radia
tion of energy. The boundary conditions for the shell footing have a s
trong influence on the distribution of the axial membrane forces and,
hence, on the stability limit, which is mostly governed by plastic col
lapse and caused by the dynamically activated pressure acting on the t
ank wall. It is shown how the soil properties influence the dynamic st
ability of the shell under harmonic excitation and under realistic ear
thquake motion.