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C.C. Swan and I. Kosaka

Department of Civil & Environmental Engineering, The University of Iowa, United States of America

doi:10.4203/ccp.40.7.2

C.C. Swan, I. Kosaka, "Topology Optimization for Discrete, Symmetric and Stable Material Layout Designs", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 167-176, 1996. doi:10.4203/ccp.40.7.2

Abstract

Desired results of continuous, variable topology material Layout computations are stable, discrete and optimal material phase distributions throughout the design domain. Such material layout designs are achieved using a topology optimization framework based on hybrid families of classical Reuss (compliant) and viogt (stiff) mixing rules, presented herein complete with design sensitivity analysis. The continuous topology formulation is coupled with a novel volume-averaging procedure to eliminate checkerboarding instabilities and a robust method for imposing geometrical symmetry on a layout designs which significantly reduces the size of the optimization problem. The performance of the proposed techniques are demonstrated on compliance minimization and eigenvalues tailoring problems.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 40 ADVANCES IN OPTIMIZATION FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper VII.2 Topology Optimization for Discrete, Symmetric and Stable Material Layout Designs C.C. Swan and I. Kosaka Department of Civil & Environmental Engineering, The University of Iowa, United States of America doi:10.4203/ccp.40.7.2 purchase the full-text of this paper Full Bibliographic Reference for this paper C.C. Swan, I. Kosaka, "Topology Optimization for Discrete, Symmetric and Stable Material Layout Designs", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 167-176, 1996. doi:10.4203/ccp.40.7.2 Abstract Desired results of continuous, variable topology material Layout computations are stable, discrete and optimal material phase distributions throughout the design domain. Such material layout designs are achieved using a topology optimization framework based on hybrid families of classical Reuss (compliant) and viogt (stiff) mixing rules, presented herein complete with design sensitivity analysis. The continuous topology formulation is coupled with a novel volume-averaging procedure to eliminate checkerboarding instabilities and a robust method for imposing geometrical symmetry on a layout designs which significantly reduces the size of the optimization problem. The performance of the proposed techniques are demonstrated on compliance minimization and eigenvalues tailoring problems. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £66 +P&P)
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