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۱ISOGEOMETRIC TOPOLOGY OPTIMIZATION OF STRUCTURES BY USING MMA
نویسنده(ها): ، ،
اطلاعات انتشار: International Journal of Optimization in Civil Engineering، سوم،شماره۲، ۲۰۱۳، سال
تعداد صفحات: ۱۴
The Isogeometric Analysis (IA) method is applied for structural topology optimization instead of the finite element method. For this purpose, 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. The coordinates of control points which are also used for constructing the density function, are considered as design variables of the optimization problem. In order to change the design variables towards optimum, the Method of Moving Asymptotes (MMA) is used. To alleviate the formation of layouts with porous media, the density function is penalized during the optimization process. A few examples are presented to demonstrate the performance of the method.

۲Isogeometric Topology Optimization by Using Optimality Criteria and Implicit Function
نویسنده(ها): ،
اطلاعات انتشار: International Journal of Optimization in Civil Engineering، چهارم،شماره۲، ۲۰۱۴، سال
تعداد صفحات: ۱۳
A new method for structural topology optimization is introduced which employs the Isogeometric Analysis (IA) method. In this approach, an implicit function is constructed over the whole domain by Non–Uniform Rational B–Spline (NURBS) basis functions which are also used for creating the geometry and the surface of solution of the elasticity problem. Inspiration of the level set method; zero level of the function describes the boundary of the structure. An optimality criterion is derived to improve the implicit function towards the optimum boundaries. The last section of this paper is devoted to some numerical examples in order to demonstrate the performance of the method as well as the concluding remarks.

۳Application of isogeometric analysis in structural shape optimization
نویسنده(ها): ، ،
اطلاعات انتشار: Scientia Iranica، هجدهم،شماره۴، ۲۰۱۱، سال
تعداد صفحات: ۷
In this paper, the isogeometric analysis method is utilized in the three–dimensional shape optimization of structures, instead of finite elements. The main obstacles in shape optimization problems are inherent in the currently practiced numerical analysis methods and their distinction from the geometry definition model. The newly developed isogeometrical analysis has the potential to be employed for this goal. The main advantage of this technique, besides being computationally less costly, and its ease and precision in defining boundaries, is that it does not require several remeshings in the process of optimization. In this research work, the domain of interest is defined by using Non–Uniform Rational B–Splines (NURBS). Also, a numerical analysis tool is developed, which uses the NURBS basis functions for approximation. The control points defining the design boundary surface are considered as the design variables of the shape optimization problem. To demonstrate the performance of the method, some examples of two and three dimensional problems are presented.
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