TY - JOUR
T1 - Isogeometric shape optimization of shells using semi-analytical sensitivity analysis and sensitivity weighting
AU - Kiendl, J.
AU - Schmidt, R.
AU - Wüchner, R.
AU - Bletzinger, K. U.
N1 - Funding Information:
The authors were partially supported by the funding of the International Graduate School of Science and Engineering (IGSSE) at the Technische Universität München, which is part of the German Excellence Initiative, and by the European Research Council through the FP7 Ideas Starting Grant no. 259229 ISOBIO. These supports are gratefully acknowledged.
PY - 2014/6/1
Y1 - 2014/6/1
N2 - We present isogeometric shape optimization for shell structures applying sensitivity weighting and semi-analytical analysis. We use a rotation-free shell formulation and all involved geometry models, i.e., initial design, analysis model, optimization model, and final design use the same geometric basis, in particular NURBS. A sensitivity weighting scheme is presented which eliminates certain effects of the chosen discretization on the design update. A multilevel design approach is applied such that the design space can be chosen independently from the analysis space. The use of semi-analytical sensitivities allows having different polynomial degrees for design and analysis model. Different numerical examples are performed which confirm the applicability of the proposed method. Furthermore, a shape optimization example with an exact solution is presented which can serve as general benchmark for shape optimization methods.
AB - We present isogeometric shape optimization for shell structures applying sensitivity weighting and semi-analytical analysis. We use a rotation-free shell formulation and all involved geometry models, i.e., initial design, analysis model, optimization model, and final design use the same geometric basis, in particular NURBS. A sensitivity weighting scheme is presented which eliminates certain effects of the chosen discretization on the design update. A multilevel design approach is applied such that the design space can be chosen independently from the analysis space. The use of semi-analytical sensitivities allows having different polynomial degrees for design and analysis model. Different numerical examples are performed which confirm the applicability of the proposed method. Furthermore, a shape optimization example with an exact solution is presented which can serve as general benchmark for shape optimization methods.
KW - Free-form shells
KW - Isogeometric analysis
KW - Rotation-free
KW - Sensitivity analysis
KW - Shape optimization
KW - Shape optimization benchmark
UR - http://www.scopus.com/inward/record.url?scp=84897399742&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2014.02.001
DO - 10.1016/j.cma.2014.02.001
M3 - Article
AN - SCOPUS:84897399742
SN - 0045-7825
VL - 274
SP - 148
EP - 167
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -