A control analysis of interaction problem by fluid force

This paper presents a control analysis of displacement for a building. To c ontrol the vertical displacement of the building, control device of multi-b alloons with water inside is introduced on the friction piles. Coupling thr ough the water, soil, balloon and pile, the interaction problem is numerica lly solved. The soil is assumed to be a linear elastic body. The balloon an d pile are also modelled as linear elastic truss and rigid-frame components . The water is assumed to be the two-dimensional incompressible Navier-Stok es flow. All components are discretized by the finite element method in spa ce. The control analysis of vertical displacement by fluid force is perform ed for the purpose of keeping the building horizontal. One of the optimal c ontrol theory, the so-called Sakawa-Shindo method, is applied for the contr ol analysis. Using this method, control flux of the water is determined so that position at the top of the balloon comes to be close to the objective position. Copyright (C) 2001 John Wiley & Sons, Ltd.