TY - JOUR
T1 - STRUCTURAL TOPOLOGY OPTIMIZATION BASED ON HYBRID OF PIECEWISE CONSTANT LEVEL SET METHOD AND ISOGEOMETRIC ANALYSIS
TT -
JF - IUST
JO - IUST
VL - 10
IS - 3
UR - http://ijoce.iust.ac.ir/article-1-448-en.html
Y1 - 2020
SP - 493
EP - 512
KW - topology optimization
KW - isogeometric analysis
KW - piecewise constant level set method
KW - additive operator splitting
KW - merrimanâ€“benceâ€“osher.
N2 - 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.
M3
ER -