Boundary element method for shape control of distributed parameter elastostatic systems
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The authors study the problems of shape control for elastic systems. Such problems appear in contemporary space technology and manufacturing processes. The object of shape control is to achieve a desirable shape for a given elastic body by the application of distributed control forces. In space applications, the computers for the digital controller usually have only limited memory and power. Also the control scheme must be relatively simple to ensure fast response. The recent rapid development of the boundary element method (BEM) seems ideally suited for such technological applications because of its numerical efficiency and small memory requirement. This is our major adopted mathematical approach here and which, in our opinion, is perhaps superior to several other variational methods developed earlier in the literature. Numerical results of shape control are illustrated by computer graphics.
