Solve system 9 yielding the shape deformation vk 5. Isogeometric topology optimization based on energy. Full analytical sensitivities in nurbs based isogeometric. Tao liu, shuting wang, bin li and liang gao, a levelsetbased topology and shape optimization method for continuum structure under geometric constraints, structural and multidisciplinary optimization, 10.
The energy penalization method can solve the problems of. Twodimensional structural topology optimization based on. Isogeometric shape optimization of three dimensional problems. This work explores the use of solidshell elements in the the framework of isogeometric shape optimization of shells. Topology optimization with isogeometric analysis in a.
Isogeometric analysis lehrstuhl fur statik chair of. Highefficient isogeometric analysisisogeometric structural optimization 8. Louis blanchard, r egis duvigneau, anhvu vuong, bernd simeon. Pdf structural design optimization using isogeometric analysis. Gpu parallel strategy for parameterized lsmbased topology.
The calculation of these sensitivities involve two terms. A framework for shape optimization in the context of. Li k and qian x 2011 isogeometric analysis and shape optimization via boundary integral, computeraided design, 43. Isogeometric sizing and shape optimization of thin structures with a. The aim of structural shape optimization is to find the.
One primary problem in shape optimization of structures is making a robust link between. We developed an isogeometric shell element based on the kirchhofflove shell theory. Implementation of regularized isogeometric boundary element. For the spatial semidiscretization of the structural vibration problem we rely on the isogeometric.
May 17, 2012 isogeometric shape optimization of trimmed shell structures 21 november 2015 structural and multidisciplinary optimization, vol. The computational mechanics and geometry laboratory cmglab, led by dr. The intention of this paper is to show that isogeometric analysis offers a potential and promising way out of this dilemma. Isogeometric shape optimization of beam structures and vibrating. Evans of the department of aerospace engineering sciences, pioneers new approaches to the modeling and simulation of aerospace, naval, and energy systems by leveraging synergies between computational mechanics, geometry, and approximation theory. Isogeometric structural shape optimization computer methods in applied mechanics and engineering, vol. Nguyen dang manh department of mathematics technical university of denmark address. The isogeometric analysis method has been employed by wall et al. Hornlein h, schittkowski k eds software systems for structural optimization. Isogeometric analysis and shape optimization in fluid.
The importance of this type of optimization lies in the fact that the choice of the appropriate topology of a structure in the conceptual phase is generally the most decisive factor for the efficiency of a novel product. Isogeometric structural shape optimization sciencedirect. May 17, 2012 isogeometric structural shape optimization computer methods in applied mechanics and engineering, vol. Structural shape optimization with geometric description and. Shape gradient for isogeometric structural design 7 2. Veljovic, shape optimization and optimal boundary control for high intensity focused ultrasound hifu, phd thesis, university of erlangennuremberg, 2009. From the design point of view, we show that this geometric representation of the. Fixedgrid holeshape optimization for opening structures. Currently, it is necessary to convert data between cad and fea packages to analyse new designs during development, a difficult task since the two computational geometric approaches are diffe. Isogeometric sizing and shape optimization of thin.
Solve system 6 yielding the structural displacement uk 4. The in nite domain outside the scatterers is truncated by an trun ca on boundary dielectric cr, t r condition, 23, and the present frequencies we can use the impedance s, cr r s t. Shape optimization for natural frequency with isogeometric. Structural and multidisciplinary optimization, 2014, 502. Isogeometric analysis methods propose a new paradigm, that allows one to overcome.
A framework for parametric design optimization using isogeometric analysis austin j. Further, some examples are presented to illustrate the use of the proposed optimization technique. Isogeometric analysis is a new development in computational analysis which aims to close this gap by using the same mathematical description for the design and the analysis model. The results are presented and discussed in section 4 and the paper is concluded in section 5. On this basis, the iga method is used for the structural shape optimization of gun barrel. Darlinga, baskar ganapathysubramaniana, adarsh krishnamurthya, mingchen hsua, adepartment of mechanical engineering, iowa state university, 2025 black engineering, ames, ia 50011, usa. Structural shape optimization with geometric description. The substitution of the traditional finite elements not only makes the mesh model geometrically exact but also avoids the laborious mesh regeneration. Due to the higher order basis functions it is lockingfree and. We present an energy penalization method for isogeometric topology optimization using. Implementation of sensitivity weighting for isogeometric shape optimization on trimmed nurbsbased brep models. Multiscale isogeometric topology optimization with uni. By treating the corresponding element density of knot spans as design variables, the topology optimization model is formulated based on simp method. By this means, when applied to structural shape optimization, besides having smooth boundaries in the whole optimization process, the problem of several finite element remeshings is also obviated.
Research lehrstuhl fur statik chair of structural analysis. Introduction shape optimization of three dimensional and shell structures has drawn the attention of many disciplines in industry for its role in improving the structural performance. A framework for parametric design optimization using. Development of an opensource tool for 3d topology optimization and its extension towards integrated design and analysis. In this paper, the isogeometric analysis is applied to twodimensional structural topology optimization instead of traditional finite element analysis. Topology optimization with isogeometric analysis in a phase. Finite element analysis is based on the finite element method for static, normal modes, direct and modal frequency analysis, random response. Isogeometric shape optimization for nonlinear ultrasound focusing. Finite cell method fcm introduces high order finite element method into fictitious domain method, and it has great advantages of complex. Isogeometric shape optimization in fluidstructure interaction christoph heinrich, regis duvigneau, louis blanchard to cite this version. Isogeometric analysis for topology optimization with a. Isogeometric analysis for topology optimization with a phase. Shape gradient computation in isogeometric analysis for linear elasticity.
Explicit isogeometric topology optimization based on moving. Structural topology optimization has been becoming an interesting area of research in the structural optimization community. Structural optimization, shape optimization, isogeometric analysis, nurbs 3. A fast shape optimization strategy for free form shell structure design with structural dynamics criteria is proposed in this paper. A fast shape optimization strategy for free form shell structure design with. Isogeometric topology optimization based on energy penalization for. Isogeometric method in shape optimization, the analysis model will be naturally merged by design model, which eliminates the desired link between the design and analysis models in optimization process. Application of isogeometric analysis in structural shape. Jens gravesen department of mathematics technical university of denmark.
Shape gradient computation in isogeometric analysis for. Isogeometric shape optimization in fluidstructure interaction. Citeseerx document details isaac councill, lee giles, pradeep teregowda. Cyron, isogeometric structural shape optimization, computer methods in applied mechanics and engineering, 197 2008, 29762988. At the chair of structural analysis we use this concept for the structural analysis and shape optimization of thin shells. Bletzinger ku, reitnger r, kimmich s, ramm e 1993 shape optimization with program carat.
Pdf shape gradient for isogeometric structural design. Matematiktorvet, building 303s, dk2800 lyngby, denmark email. The intention of this paper is to show that isogeometric. Topology optimization with isogeometric analysis in a phase field approach l. Isogeometric analysis and analysissuitable parameterization methods 2. Master thesis, 2016 more malfavon farias, octaviano. Isogeometric analysis in structural mechanics sutd digital. Design, analysis, optimization design processes often involve or require some optimization of the geometry cad.
Valizadeha adepartment of civil engineering, shahid bahonar university, kerman, i ran bcivil engineering department, ferdows branch, islamic azad university, ferdows, iran abstract. In the following section, the isogeometric concept including nurbs is described. The isogeometric shape optimization method based on finite. All examples and gures were done with this software package. Finite element analysis is based on the finite element method for static, normal modes, direct and modal frequency analysis, random response analysis, heat transfer. Structural optimization, as an important tool in the product design process. An old dilemma in structural shape optimization is the needed tight link between design model or geometric description and analysis model. This framework is promising for the commercial software. Currently, it is necessary to convert data between cad and fea packages to analyse new designs during development, a difficult task since the two computational geometric approaches are different. The present work addresses shape sensitivity analysis and optimization in two. Shape optimization, nurbs, isogeometric analysis, fluid. Abstract the transfer of geometrical data from cad computer aided design to fea finiteelement analysis is a bottleneck of automated design optimization procedures, yielding a loss of accuracy and cumbersome software couplings. Highefficient isogeometric analysis isogeometric structural optimization 8. The structures are modelled with nonuniform rational bspline based isogeometric kirchhofflove shell.
This general concept has already been explored in early studies on using bsplines and nurbs for shape optimization 47484950 and then been exploited in isogeometric structural shape. In order to overcome the gap between computeraided design, numerical simulation and manufacturing, isogeometric analysis iga was introduced by hughes et al. Isogeometric analysis and shape optimization in electromagnetism. In particular, complex shapes can be represented with relatively. Isogeometric method in shape optimization, the analysis model will be naturally merged by. A levelsetbased topology and shape optimization method for continuum structure under geometric constraints. The arrival of isogeometric analysis iga 7 provided the subject of shape optimization with a new direction of development. Then the optimization problem is solved using the method of moving asymptotes. Christoph heinrich, regis duvigneau, louis blanchard. Genesis structural analysis and optimization software is a fully integrated analysis and design optimization software package, written by leading experts in structural optimization. Isogeometric analysis is a computational approach that offers the possibility of integrating finite element analysis fea into conventional nurbsbased cad design tools.
The modal analysis of threedimension gun barrel using. Shape sensitivity analysis and optimization using isogeometric boundary element methods in twodimensional linear elasticity haojie lian1, robert n. Nurbs nonuniform rational bsplines are the most widespread functions in cad and hence they are used as basis functions for the isogeometric analysis. Office of naval research 04272010 universita degli studi di pavia institute for computational engineering and sciences the university of texas at austin. Topology optimization of hyperelastic structure based on a directly coupled finite. Isogeometric shape optimization for nonlinear ultrasound. Shape gradient for isogeometric structural design 9 fig. We present an energy penalization method for isogeometric topology optimization using moving morphable components itommc, propose an itommc with an additional bilateral or periodic symmetric constraint for symmetric structures, and then extend the proposed energy penalization method to an itommc with a symmetric constraint. The overall algorithmic structure remains unchanged. Genesis structural analysis and optimization software. Topology optimization of structures the constructor. Isogeometric shape optimization for scattering problems 5 scaerer target region k h e. Shape optimization of plate and shell structures aiaa journal.
His main research interests lie in developing efficient isogeometric methods for nonlinear structural mechanics for the simulation of complex problems including large deformations, nonlinear material response, fracture, fluidstructureinteraction, and in the integration of isogeometric design, analysis, and shape optimization. Isogeometric analysis stiffened structures solidshell. In this paper, the isogeometric analysis iga is applied to make the modal analysis for 3d gun barrel. Structural topology optimization aims at finding the appropriate material. Isogeometric layout optimization of shell structures using. Computational design, isogeometric analysis, geometry processing. Isogeometric analysis, structural optimization, shape. Masterarbeit, 2016 mehr malfavon farias, octaviano. Isogeometric analysis and shape optimization in electromagnetism ph. The structures are modelled with nonuniform rational bspline based isogeometric kirchhofflove shell elements. Genesis structural analysis and optimization software what it is. Computational mechanics and geometry laboratory university. Kraft d 1988 a software package for sequential quadratic pro gramming.
All this make isogeometric analysis an ideal tool for shape opti mization. This paper proposes a multiscale isogeometric topology optimization ito method where the con. Implementation of regularized isogeometric boundary. Application of isogeometric analysis in structural shape optimization.
In order to obtain a series of gms ranged from void to solid with similar structure to ensure. Finite cell method fcm introduces high order finite element method into fictitious domain method, and it has great advantages of complex boundary representation and high efficient. Automatic model generation for isogeometric analysis 6. Isogeometric analysis in structural mechanics sutd. Vuong adepartment of mathematics,technische universit at kaiserslautern, paulehrlichstra. A framework for shape optimization in the context of isogeometric analysis d. Isogeometric analysis iga method uses the same mathematical model in geometric design and engineering analysis, and is the most potential method to realize high accuracy and integrated optimization design. In order to achieve the desired geometric accuracy of the structural boundary, wall et al. The main difference of these elements with respect to pure shell ones is their volumetric nature which can provide recognized benefits to analyze, for example, structures with nonlinear behaviors. In all researches related with isogeometric optimization of structures 25, gradient methods are used in optimization process. Also, a numerical analysis tool is developed, which uses the nurbs basis functions for. Chair of structural analysis igsseproject 12 isogeometric. This paper proposes a new level setbased topology optimization to method using a parallel strategy of graphics processing units gpus and the isogeometric analysis iga.