Hsu (1994-11-01); recommended: Yeh-Liang Hsu (2010-06-12).
Note: This paper is published in Computers in Industry, Vol. 25, No. 1,
pp. 3-13, November 1994.
review of structural shape optimization
Shape optimization attempts to integrate geometrical modeling,
structural analysis, and optimization into one complete and automated
computer-aided design process. It determines the shape of the boundary of a
two- or three-dimensional structural component of minimum mass under
constraints on geometry and structural responses such as stress, displacements
and natural frequencies. The paper presents a general review of structural
shape optimization, with emphasis on the recent developments in this field.
First the general concepts are introduced. Different approaches of the process
of shape optimization, which consists of geometrical representation, structural
analysis, sensitivity analysis, and optimization algorithms, are reviewed. Then
the difficulties in expanding from two- to three-dimensional shape optimization
are discussed. Finally the paper concludes that more attention should be paid
to research of zero-order optimization algorithms which are better suitable for
shape optimization problems, and mechanical design optimization problems in