UNITIVE ANALYSIS SCHEMES ON PROBLEMS OF MULTIPLE MOVING BOUNDARIES WITH 3-D LIQUID-SOLID MULTIPLE NONLINEAR COUPLING FOR UPLIFT OF ANCHOREDLIQUID STORAGE TANKS
Dc. Wen et Zc. Zheng, UNITIVE ANALYSIS SCHEMES ON PROBLEMS OF MULTIPLE MOVING BOUNDARIES WITH 3-D LIQUID-SOLID MULTIPLE NONLINEAR COUPLING FOR UPLIFT OF ANCHOREDLIQUID STORAGE TANKS, Applied mathematics and mechanics, 18(1), 1997, pp. 69-79
In the paper, 3-D analysis method with unitive schemes is set up, whic
h is used to resolve the uplift with multiple moving boundaries and mu
ltiple nonlinear coupling for anchored liquid storage tanks. hi it, an
algorithm of quasi-harmonious finite elements for arbitrary quadrilat
eral of thin plates and shells is built up to analyze the multiple cou
pling problems of general thin plates and shells structures with three
dimensions, the complementary equations for analyzing uplifting movin
g boundary problems are deduced. The axial symmetry and presumption of
beam type mode are not used. In it, an algorithm is put forward for a
nalyzing the Navier-Stokes problems of unsteady, three-dimensional, an
d viscous liquid with sloshing of moving boundary surfaces in large am
plitude under ALE frame by scheme of time-split-steps to which linear
potential theory is not applied. The algorithms can be used to analyze
the solid-liquid multiple nonlinear coupling problems with 3-D moving
boundary with friction in multiple places.