Explicit solution of an optimal design problem with nonaffine displacement boundary conditions

Yury Grabovsky

doi:10.1117/12.240793

31 May 1996 Explicit solution of an optimal design problem with nonaffine displacement boundary conditions

Yury Grabovsky

Proceedings Volume 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures; (1996) https://doi.org/10.1117/12.240793
Event: 1996 Symposium on Smart Structures and Materials, 1996, San Diego, CA, United States

Abstract

Structural optimization problems with non-affine boundary conditions must usually be solved numerically. Here we present an example of such a problem which can be solved analytically. Our method utilizes extremal composites as structural components, and makes use of the explicit form of an optimal energy bound.

Citation Download Citation

Yury Grabovsky "Explicit solution of an optimal design problem with nonaffine displacement boundary conditions", Proc. SPIE 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures, (31 May 1996); https://doi.org/10.1117/12.240793

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