A Geometry Projection and Optimality Criterion Method for Topology Optimization using the Topological Derivative
نویسندگان
چکیده
1 Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, U.S.A. Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, U.S.A. Department of Mechanical and Industrial Engineering and Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, U.S.A. Department of Mathematics, Technical University of Denmark, Matematiktorvet, B.303, DK-2800, Lyngby, Denmark
منابع مشابه
Isogeometric Topology Optimization by Using Optimality Criteria and Implicit Function
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...
متن کاملISOGEOMETRIC TOPOLOGY OPTIMIZATION OF STRUCTURES USING LEVEL SET METHOD INCORPORATING SENSITIVITY ANALYSIS
This study focuses on the topology optimization of structures using a hybrid of level set method (LSM) incorporating sensitivity analysis and isogeometric analysis (IGA). First, the topology optimization problem is formulated using the LSM based on the shape gradient. The shape gradient easily handles boundary propagation with topological changes. In the LSM, the topological gradient method as ...
متن کاملTopological Optimization of Continuum Structures Using Optimality Criterion in ANSYS
2Professor, Department of Mechanical Engineering, G.B.P.U.A.T., Pantnagar, U.S.Nagar, Uttarakhand, India ---------------------------------------------------------------------***--------------------------------------------------------------------Abstract Topology optimization is the most important part of structural optimization which is employed when the design is at the conceptual stage. Gener...
متن کاملA Geometry Preserving Kernel over Riemannian Manifolds
Abstract- Kernel trick and projection to tangent spaces are two choices for linearizing the data points lying on Riemannian manifolds. These approaches are used to provide the prerequisites for applying standard machine learning methods on Riemannian manifolds. Classical kernels implicitly project data to high dimensional feature space without considering the intrinsic geometry of data points. ...
متن کاملCONFIGURATION OPTIMIZATION OF TRUSSES USING A MULTI HEURISTIC BASED SEARCH METHOD
Different methods are available for simultaneous optimization of cross-section, topology and geometry of truss structures. Since the search space for this problem is very large, the probability of falling in local optimum is considerably high. On the other hand, different types of design variables (continuous and discrete) lead to some difficulties in the process of optimization. In this articl...
متن کامل