@Article{sl.2011.006.109,
AUTHOR = {Seonho Cho, Seung-Hyun Ha, Bonyong Koo, Minho Yoon, Seung-Ho Ahn},
TITLE = {Isogeometric Shape Optimal Design of Elastic Structures under Design-dependent Loads},
JOURNAL = {Structural Longevity},
VOLUME = {6},
YEAR = {2011},
NUMBER = {3},
PAGES = {109--114},
URL = {http://www.techscience.com/sl/v6n3/42849},
ISSN = {1944-6128},
ABSTRACT = {Using an isogeometric approach, a continuum-based shape optimization method is developed for elasticity problems. To obtain efficient and precise
adjoint shape sensitivity, precise normal and curvature information should be taken
into account in shape sensitivity expressions, especially for design-dependent problems. In this approach, the basis functions generated from NURBS are directly used
to construct a geometrically exact model in response and shape sensitivity analyses.
Refinements and design changes are easily implemented within the isogeometric
framework. The isogeometric design sensitivity analysis provides more accurate
sensitivity of complex geometries including higher order terms such as normal and
curvature. Also, it vastly simplifies the design modification without communicating with the CAD geometry during optimization process. Since the NURBS basis
functions are used in both isogeometric response and sensitivity analyses, design
modifications are easily carried out by the adjustment of control points. We demonstrate some numerical examples, where the accuracy and efficiency of the isogeometric sensitivity are verified by the comparison with finite difference one. Also,
some examples of design–dependent shape optimization are demonstrated to verify
the applicability and effectiveness of the proposed method.},
DOI = {10.3970/sl.2011.006.109}
}