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Direct and Adjoint Approach to First- and Second-Order Shape Sensitivity and Optimal Design of Structure

Dems, K.

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.

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Direct and Adjoint Approach to First- and Second-Order Shape Sensitivity and Optimal Design of Structure

Dems, K.

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.

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.

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Title:

Direct and Adjoint Approach to First- and Second-Order Shape Sensitivity and Optimal Design of Structure

Contributors:

Dems, K. (author)

Published in:

Optimization of Large Structural Systems ; 477-491

NATO ASI Series ; 231

Publication date:

1993-01-01

Size:

15 pages

ISBN:

978-94-010-9577-8 , 978-94-010-9579-2

ISSN:

DOI:

https://doi.org/10.1007/978-94-010-9577-8_22

Type of media:

Article/Chapter (Book)

Type of material:

Electronic Resource

Language:

English

Keywords:

Design Sensitivity Analysis , Order Sensitivity , Adjoint Approach , Adjoint Solution , Shape Design Sensitivity Analysis Engineering , Civil Engineering , Appl.Mathematics/Computational Methods of Engineering , Automotive Engineering , Mechanics

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