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Combined Topology and Shape Optimization of Structures using Nodal Density as Design Parameter

Dong–Kyu Lee
2007 Journal of Asian Architecture and Building Engineering  
The objective is to obtain both optimal smooth shapes and topologies based on the design domain concept avoiding an excessive number of finite elements.  ...  It is based on a design domain concept of a density distribution method (Bendsøe, 1989) . Nodal densities of material properties are considered as optimization design variables.  ...  To overcome these difficulties, different methods were investigated in order to obtain smooth shapes.  ... 
doi:10.3130/jaabe.6.159 fatcat:fn74xx3msvearizuwtmcwxtj3i

Discrete boundary smoothing using control node parameterisation for aerodynamic shape optimisation

D.S. Naumann, B. Evans, S. Walton, O. Hassan
2017 Applied Mathematical Modelling  
The displacement of the control nodes is coupled to the shape boundary movement via a 'discrete boundary smoothing'.  ...  Highlights • a novel method of shape deformation using discrete boundary smoothing • geometry and domain coupled via a control nodes approach • volume mesh is deformed via a Delaunay Graph Mapping technique  ...  Acknowledgements The authors would like to acknowledge the support provided by Fujitsu and the HPC Wales for provision of PhD studentship funding and computational support.  ... 
doi:10.1016/j.apm.2017.03.042 fatcat:pluw6562vvak7icw2yadmitzoe

Smoothing Parametric Design of Addendum Surfaces for Sheet Metal Forming

Jixing Li, Tao Ning, Ping Xi, Bifu Hu, Tian Wang, Jiong Yang
2020 Chinese Journal of Mechanical Engineering  
The kernel of the parametric method is constructing boundary curves based on the shape of surfaces of workpiece and designing guide curves based on Hermite curve interpolation.  ...  In this paper, an automatic procedure based on parametric design method is proposed for the rapid construction of the addendum surfaces.  ...  In this paper, a parametric design method of addendum surface based on Hermite curve interpolation and minimum energy smoothing optimization was proposed.  ... 
doi:10.1186/s10033-019-0425-8 fatcat:3g2yl3pzzbfwvl3zkhxfsyi23a

Smooth boundary topology optimisation applied to an electrostatic actuator

D.-H. Kim, J.K. Sykulski, D.A. Lowther
2008 IET Science, Measurement & Technology  
Smooth boundary topology optimisation in conjunction with the continuum design sensitivity analysis avoids many of the problems encountered by conventional cell-based systems coupled with material homogenisation  ...  Shape optimisation becomes part of topology optimisation.  ...  Thus, the smooth boundary of the domain can be kept during the overall design process.  ... 
doi:10.1049/iet-smt:20080073 fatcat:bkmzdjocrvcxfb4x22unz3avzu

Automated and Accurate Geometry Extraction and Shape Optimization of 3D Topology Optimization Results [article]

Marco K. Swierstra, Deepak K. Gupta, Matthijs Langelaar
2020 arXiv   pre-print
Addressing this problem by smoothing or manual design adjustments is time-consuming and affects the optimality of TO designs.  ...  the structural boundary using the Finite Cell Method.  ...  Acknowledgements We gratefully acknowledge the contribution of J.C. Bakker, M. Barbera, N.D. Bos and S.J. van Elsloo to the Python script written for this research.  ... 
arXiv:2004.05448v1 fatcat:7mqxge7yb5dolhdtl3z2sbhrmm

Topology Optimization Using Basis Functions for Improvement of Rotating Machine Performances

Hidenori Sasaki, Hajime Igarashi
2018 IEEE transactions on magnetics  
This paper presents a new topology optimization method based on basis functions for design of rotating machines.  ...  In this method, the core shape of a given rotating machine is represented by the linear combination of the basis functions.  ...  Smoothing of material boundaries Although smooth material boundaries are preferable for the manufacturing, the topology optimization often gives rise to complicated material boundaries.  ... 
doi:10.1109/tmag.2017.2759784 fatcat:3npgfcj2argbrozqhbciowr3iq


2006 International Journal of Computational Methods  
This paper presents an improved version of the traction method that was proposed as a solution to shape optimization problems of domain boundaries in which boundary value problems of partial differential  ...  The principle of the traction method is presented based on the theory of the gradient method in Hilbert space.  ...  Optimal shape design with parametric design variables has come into wide use recently through commercial programs based on mathematical programming techniques combined with simulation methods.  ... 
doi:10.1142/s0219876206000709 fatcat:lfozifbz6re6xhws6alzzd6rre

A three-dimensional implementation of the boundary element and level set based structural optimisation

B. Ullah, J. Trevelyan, I. Ivrissimtzis
2015 Engineering analysis with boundary elements  
As the boundary element method is based on a boundary discretisation approach, the extracted geometry (in the form of a triangular mesh) can be directly analysed within it.  ...  The boundary movements in the threedimensional level set based optimisation method allow automatic hole nucleation through the intersection of two surfaces moving towards each other.  ...  Acknowledgements The first author acknowledges with thanks the financial support through the Durham Doctoral Studentship scheme of the Durham University.  ... 
doi:10.1016/j.enganabound.2015.04.005 fatcat:o3jnmkjxtvbwrari6qplmpdimy

Shape and topology optimization based on the convected level set method

Kentaro Yaji, Masaki Otomori, Takayuki Yamada, Kazuhiro Izui, Shinji Nishiwaki, Olivier Pironneau
2016 Structural And Multidisciplinary Optimization  
Abstract The aim of this research is to construct a shape optimization method based on the convected level set method, in which the level set function is defined as a truncated smooth function obtained  ...  Shape and topology optimization based on the convected level set method.  ...  Thierry Coupez for their helpful discussion of this work. The first author was able to conduct overseas research in France supported by JSPS KAKENHI, Grant-in-Aid for JSPS Fellows, 14J02008.  ... 
doi:10.1007/s00158-016-1444-z fatcat:7pyd5a76gbepbgha3mdpyp2r6i

Gradient Projection, Constraints And Surface Regularization Methods In Adjoint Shape Optimization

P. A. Alexias, De Villiers, E.,
2016 Zenodo  
This paper deals with the treatment of various problems that are present in adjoint-based shape optimization applications in which a parameterization of the surface is absent.  ...  In the end, the capability and the effectiveness of the method are demonstrate din various industrial test cases.  ...  Introduction In the context of gradient-based numerical optimization, the adjoint method is the most cost-effective way to calculate the gradients of an objective function with respect to the design variables  ... 
doi:10.5281/zenodo.1421242 fatcat:z2qgddp6gjf5zh76otmot6wr3i

An extended level set method for shape and topology optimization

S.Y. Wang, K.M. Lim, B.C. Khoo, M.Y. Wang
2007 Journal of Computational Physics  
The proposed method is implemented in the framework of minimum compliance design and its efficiency over the existing methods is highlighted.  ...  A practical implementation of this method is further developed for solving a class of energy-based optimization problems, in which approximate solution to the original Hamilton-Jacobi equation may be justified  ...  Based on local perturbations of the moving free boundary of an admissible design X [8] (continuous perturbations with respect to the Hausdorff distance [26] ), the resulting shape derivative of the  ... 
doi:10.1016/ fatcat:nnq4gv3755hbxl7oihkdsts6qi

Page 1704 of American Society of Civil Engineers. Collected Journals Vol. 114, Issue 10 [page]

1988 American Society of Civil Engineers. Collected Journals  
The boundary element method has also been applied to the shape optimal design of heat-transfer problems.  ...  Eizadian (1984) and Eizadian and Trompette (1985) also developed a model for shape optimal design of two-dimensional structures based on the boundary element method.  ... 

A piecewise hole filling algorithm in reverse engineering

Yongtae Jun
2005 Computer-Aided Design  
It incrementally splits a complex hole into several simple holes with respect to the 3D shape of the hole boundary, and then it consecutively fills each divided simple hole with planar triangulation method  ...  Although a number of hole filling algorithms have been investigated, they enable to fill holes only on the smooth regions of a model. They are not always robust in the regions of high curvature.  ...  The existence of an implicit representation supports the smooth reconstruction of hole regions. Liepa [9] described a method for filling holes in unstructured triangular meshes.  ... 
doi:10.1016/j.cad.2004.06.012 fatcat:wzwpwst4mbff3bzzmh7tre26ge

Dual Adaptive Adjustment for Customized Garment Pattern

Yuxiang Zhu, Yanjun Peng, Arsineh Boodaghian Asl
2019 Scientific Programming  
In the fine auto adjustment (FAA) stage, boundary vertices control the shape in the adjustment process.  ...  As demonstrated in the results, our method enables fully automatic adjustment, preserving the original pattern style of garments between characters with vastly body shapes.  ...  An essential solution is to automatically resize a designed product worn by a model to fit the variant body shapes of individual customers. e conventional garment design method is the 2D pattern grading  ... 
doi:10.1155/2019/8069373 fatcat:nei5vp4pvfamzaenms6fnhpawm

Shape morphing and topology optimization of fluid channels by explicit boundary tracking

Mingdong Zhou, Haojie Lian, Ole Sigmund, Niels Aage
2018 International Journal for Numerical Methods in Fluids  
The shape evolution is realized by deforming the curves while maintaining a high-quality mesh through adaption of the mesh near the structural boundary, rather than performing a global remeshing.  ...  The finite element discretization used, provides smooth and stable optimized boundaries for simple energy dissipation objectives.  ...  Most of this work was performed when the first two authors worked at the Dept. of Mechanical Engineering of the Technical University of Denmark.  ... 
doi:10.1002/fld.4667 fatcat:3vtivijd5je3rgss5pzl6r5vya
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