RT - Journal Article
T1 - STRUCTURAL TOPOLOGY OPTIMIZATION BASED ON HYBRID OF PIECEWISE CONSTANT LEVEL SET METHOD AND ISOGEOMETRIC ANALYSIS
JF - IUST
YR - 2020
JO - IUST
VO - 10
IS - 3
UR - http://ijoce.iust.ac.ir/article-1-448-en.html
SP - 493
EP - 512
K1 - topology optimization
K1 - isogeometric analysis
K1 - piecewise constant level set method
K1 - additive operator splitting
K1 - merrimanâ€“benceâ€“osher.
AB - The present study proposes a hybrid of the piecewise constant level set (PCLS) method and isogeometric analysis (IGA) approach for structural topology optimization. In the proposed hybrid method, the discontinuities of PCLS functions is used in order to present the geometrical boundary of structure. Additive Operator Splitting (AOS) scheme is also considered for solving the Lagrange equations in the optimization problem subjected to some constraints. For reducing the computational cost of the PCLS method, the Merriman–Bence–Osher (MBO) type of projection scheme is applied. In the optimization process, the geometry of structures is described using the Non–Uniform Rational B–Splines (NURBS)–based IGA instead of the conventional finite element method (FEM). The numerical examples illustrate the efficiency of the PCLS method with IGA in the efficiency, convergence and accuracy compared with the other level set methods (LSMs) in the framework of 2–D structural topology optimization. The results of the topology optimization reveal that the proposed method can obtain the same topology in lower number of convergence iteration.
LA eng
UL http://ijoce.iust.ac.ir/article-1-448-en.html
M3
ER -