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Abstract For an arbitrary stress, strain and displacement functional, its first- and second-order sensitivities with respect to varying structural shape are discussed. It is assumed that the shape modification is described by a set of shape design parameters. The first derivatives of a functional with respect to these parameters are derived using both the direct and adjoint approaches. Next the second derivatives are obtained using the mixed approach in which both the direct and adjoint first-order solutions are used. Some simple example illustrates the presented theory.
Abstract For an arbitrary stress, strain and displacement functional, its first- and second-order sensitivities with respect to varying structural shape are discussed. It is assumed that the shape modification is described by a set of shape design parameters. The first derivatives of a functional with respect to these parameters are derived using both the direct and adjoint approaches. Next the second derivatives are obtained using the mixed approach in which both the direct and adjoint first-order solutions are used. Some simple example illustrates the presented theory.
Direct and Adjoint Approach to First- and Second-Order Shape Sensitivity and Optimal Design of Structure
Dems, K. (Autor:in)
01.01.1993
15 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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