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Paper XVI.9

Optimum Shape Design of Three Dimensional Continuum Structures using Two Point Quadratic Approximation

E. Salajegheh and A. Rahmani

Civil Engineering Department, University of Kerman, Kerman, Iran

doi:10.4203/ccp.55.16.9

E. Salajegheh, A. Rahmani, "Optimum Shape Design of Three Dimensional Continuum Structures using Two Point Quadratic Approximation", in B.H.V. Topping, (Editor), "Advances in Computational Structural Mechanics", Civil-Comp Press, Edinburgh, UK, pp 435-439, 1998. doi:10.4203/ccp.55.16.9

Abstract

A second order approximation method is presented for optimum design of three dimensional structures. The main idea is to reduce the number of required finite element structural analyses in the design process. The individual stresses are approximated in terms of the specified design variables. To avoid the analytical evaluation of the Hessian matrix which is expensive to evaluate, an approximate Hessian matrix is generated. The approach is applied to some three dimensional continuum structures and the numerical results are compared with published work.

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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: 55 ADVANCES IN COMPUTATIONAL STRUCTURAL MECHANICS Edited by: B.H.V. Topping Paper XVI.9 Optimum Shape Design of Three Dimensional Continuum Structures using Two Point Quadratic Approximation E. Salajegheh and A. Rahmani Civil Engineering Department, University of Kerman, Kerman, Iran doi:10.4203/ccp.55.16.9 purchase the full-text of this paper Full Bibliographic Reference for this paper E. Salajegheh, A. Rahmani, "Optimum Shape Design of Three Dimensional Continuum Structures using Two Point Quadratic Approximation", in B.H.V. Topping, (Editor), "Advances in Computational Structural Mechanics", Civil-Comp Press, Edinburgh, UK, pp 435-439, 1998. doi:10.4203/ccp.55.16.9 Abstract A second order approximation method is presented for optimum design of three dimensional structures. The main idea is to reduce the number of required finite element structural analyses in the design process. The individual stresses are approximated in terms of the specified design variables. To avoid the analytical evaluation of the Hessian matrix which is expensive to evaluate, an approximate Hessian matrix is generated. The approach is applied to some three dimensional continuum structures and the numerical results are compared with published work. 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 £95 +P&P)
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