3D level-set topology optimization: a machining feature-based approach

This paper presents an explicit feature-based level-set topology optimization method involving polyline-arc profiling and 2.5D machining processes. This method relies on a feature fitting algorithm incorporated into the boundary evolvement process in order to regulate the noisy velocity fields and thus introduce new explicit feature primitives; once inserted, the feature-based shape optimization algorithm is implemented to determine the optimum part shape and topology. The research novelty lies in that, the best-fit feature primitives are inserted during the topology optimization process while other researchers so far have reported only manipulating some existing features with the conventional level-set methods. Therefore, feature-based design can be realized without special requirement of initial input or any post-processing. From the perspective of potential applications, the engineering information embedded in those feature primitives can be extracted and integrated into the optimization formulation. Such potential integration can make the topology optimization even more useful and practical. This effort is an extension of level-set topology optimization into a domain of structural optimization for manufacturing (OFM).

[1]  Krishnan Suresh,et al.  Feature sensitivity: A generalization of topological sensitivity , 2008 .

[2]  Michael Yu Wang,et al.  Engineering feature design for level set based structural optimization , 2013, Comput. Aided Des..

[3]  G. K. Ananthasuresh,et al.  Freeform Skeletal Shape Optimization of Compliant Mechanisms , 2001, Adaptive Structures and Material Systems.

[4]  Vadim Shapiro,et al.  Implicit functions with guaranteed differential properties , 1999, SMA '99.

[5]  George I. N. Rozvany,et al.  A critical review of established methods of structural topology optimization , 2009 .

[6]  Vadim Shapiro,et al.  Shape sensitivity of constructively represented geometric models , 2008, Comput. Aided Geom. Des..

[7]  G. Allaire,et al.  Structural optimization using sensitivity analysis and a level-set method , 2004 .

[8]  M. Wang,et al.  A new level set method for systematic design of hinge-free compliant mechanisms , 2008 .

[9]  Xiaoming Wang,et al.  A feature-based topological optimization for structure design , 2008, Adv. Eng. Softw..

[10]  Thomas C. Henderson,et al.  Feature-based reverse engineering of mechanical parts , 1999, IEEE Trans. Robotics Autom..

[11]  Ming-Hsiu Hsu,et al.  Interpreting three-dimensional structural topology optimization results , 2005 .

[12]  Jae Kwan Kim,et al.  A classification of multi-axis features based on manufacturing process , 2014 .

[13]  Ahmed A. D. Sarhan,et al.  Optimizing the cutting parameters for better surface quality in 2.5D cutting utilizing titanium coated carbide ball end mill , 2012 .

[14]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[15]  Z. Kang,et al.  Integrated topology optimization with embedded movable holes based on combined description by material density and level sets , 2013 .

[16]  Grégoire Allaire,et al.  Casting constraints in structural optimization via a level-set method , 2013 .

[17]  J. Sethian,et al.  Structural Boundary Design via Level Set and Immersed Interface Methods , 2000 .

[18]  Casper Schousboe Andreasen,et al.  An explicit parameterization for casting constraints in gradient driven topology optimization , 2011 .

[19]  Xu Guo,et al.  Explicit feature control in structural topology optimization via level set method , 2014 .

[20]  Michael Yu Wang,et al.  A level-set based variational method for design and optimization of heterogeneous objects , 2005, Comput. Aided Des..

[21]  M. Wang,et al.  A level set‐based parameterization method for structural shape and topology optimization , 2008 .

[22]  Noboru Kikuchi,et al.  A surface reconstruction algorithm for topology optimization , 2006, Engineering with Computers.

[23]  Arvind Kumar Verma,et al.  A hint-based machining feature recognition system for 2.5D parts , 2008 .

[24]  Vadim Shapiro,et al.  Shape optimization with topological changes and parametric control , 2007 .

[25]  Kuang-Hua Chang,et al.  Shape optimization of heavy load carrying components for structural performance and manufacturing cost , 2006 .

[26]  Xiangkui Zhang,et al.  A mapping-based spiral cutting strategy for pocket machining , 2013 .

[27]  Piotr Breitkopf,et al.  An implicit model for the integrated optimization of component layout and structure topology , 2013 .

[28]  Yoong-Ho Jung,et al.  Five-axis machining time estimation algorithm based on machine characteristics , 2007 .

[29]  Kurt Maute,et al.  Level-set methods for structural topology optimization: a review , 2013 .

[30]  Mu Zhu,et al.  Casting and Milling Restrictions in Topology Optimization via Projection-Based Algorithms , 2012, DAC 2012.

[31]  Jami J. Shah,et al.  CAD-CAM integration using machining features , 2002, Int. J. Comput. Integr. Manuf..

[32]  S. Y. Wang,et al.  An extended level set method for shape and topology optimization , 2007, J. Comput. Phys..

[33]  Yonghua Chen,et al.  Manufacturable mechanical part design with constrained topology optimization , 2012 .

[34]  Lihui Wang,et al.  Review: Advances in 3D data acquisition and processing for industrial applications , 2010 .

[35]  Yunqing Zhang,et al.  Manufacturing- and machining-based topology optimization , 2006 .

[36]  Peihua Gu,et al.  Recent development in CNC machining of freeform surfaces: A state-of-the-art review , 2010, Comput. Aided Des..

[37]  M. Wang,et al.  Radial basis functions and level set method for structural topology optimization , 2006 .

[38]  Xiaoming Wang,et al.  A level set method for structural topology optimization , 2003 .

[39]  Z. Kang,et al.  A level set method for structural shape and topology optimization using radial basis functions , 2009 .

[40]  Michael Yu Wang,et al.  Shape feature control in structural topology optimization , 2008, Comput. Aided Des..

[41]  Jean-Yves Hascoët,et al.  A new DFM approach to combine machining and additive manufacturing , 2011, ArXiv.

[42]  Michael Yu Wang,et al.  Parametric structural optimization with radial basis functions and partition of unity method , 2011 .

[43]  Laishui Zhou,et al.  A framework for 3D model reconstruction in reverse engineering , 2012, Comput. Ind. Eng..

[44]  Liang Gao,et al.  A level-set-based topology and shape optimization method for continuum structure under geometric constraints , 2014 .

[45]  T Rabbani Shah,et al.  Methods for fitting CSG models to point clouds and their comparison , 2004 .

[46]  Weihong Zhang,et al.  Stress constrained shape and topology optimization with fixed mesh: A B-spline finite cell method combined with level set function , 2014 .

[47]  Yongsheng Ma Semantic Modeling and Interoperability in Product and Process Engineering: A Technology for Engineering Informatics , 2013 .

[48]  Kuang-Hua Chang,et al.  Integration of design and manufacturing for structural shape optimization , 2001 .

[49]  Qi Xia,et al.  A level set based method for the optimization of cast part , 2010 .

[50]  G. Allaire,et al.  Thickness control in structural optimization via a level set method , 2016, Structural and Multidisciplinary Optimization.

[51]  M. S. Parvez,et al.  Integrated manufacturing features and Design-for-manufacture guidelines for reducing product cost under CAD/CAM environment , 2013, Comput. Ind. Eng..

[52]  Xiaoming Wang,et al.  Structural shape and topology optimization in a level-set-based framework of region representation , 2004 .

[53]  Xiaoming Wang,et al.  A Feature-Based Structural Topology Optimization Method , 2006 .

[54]  M. Wang,et al.  Parametric structural optimization with dynamic knot RBFs and partition of unity method , 2013 .