An isogeometrical approach to structural topology optimization by optimality criteria |
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Authors: | Email author" target="_blank">Behrooz?HassaniEmail author Mostafa?Khanzadi S?Mehdi?Tavakkoli |
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Affiliation: | (1) Department of Civil Engineering, Shahrood University of Technology, Shahrood, 36155, Iran;(2) Department of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran |
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Abstract: | The Isogeometric Analysis (IA) method is applied for structural topology optimization instead of finite elements. For this
purpose, a control point based Solid Isotropic Material with Penalization (SIMP) method is employed and the material density
is considered as a continuous function throughout the design domain and approximated by the Non-Uniform Rational B-Spline
(NURBS) basis functions. To prevent the formation of layouts with porous media, a penalization technique similar to the SIMP
method is used. For optimization an optimality criteria is derived and implemented. A few examples are presented to demonstrate
the performance of the method. It is shown that, dissimilar to the element based SIMP topology optimization, the resulted
layouts by this method are independent of the number of the discretizing control points and checkerboard free. |
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Keywords: | |
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