Abstract
A general approach to shape design sensitivity analysis and optimal design for static and vibration problems using boundary elements is presented. The adjoint variable method is applied to obtain first-order sensitivities for the effect of boundary shape variations. The boundary element procedure for numerical calculations of sensitivities are used. Typical objective and constraints functionals are described for shape optimal design. Several numerical examples of applications of boundary elements in shape optimal design are presented.
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Communicated by T. S. Cruse, April 19, 1993
It is a part of the paper “New trends and applications of BEM in sensitivity analysis and optimization—a survey”, presented during International IABEM-92 Symposium on Boundary Element Methods at University of Colorado, Boulder, 3–6 August 1992
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Burczyński, T. Applications of BEM in sensitivity analysis and optimization. Computational Mechanics 13, 29–44 (1993). https://doi.org/10.1007/BF00350700
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DOI: https://doi.org/10.1007/BF00350700