Isogeometric Optimal Design PDF Download
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Author | : Seonho Cho |
Publisher | : John Wiley & Sons |
Total Pages | : 0 |
Release | : 2021-05-24 |
Genre | : Mathematics |
ISBN | : |
Download Isogeometric Optimal Design Book in PDF, ePub and Kindle
Presents a unified approach for combining CAD, CAE, sensitivity analysis, and optimization, helping readers to understand the theories of the isogeometric finite element method and shape optimization systematically and accurately. • Presents an emerging concept connecting the research topics of Isogeometric Analysis and Shape Optimal Design • Imparts the ability to integrate the computational description of design with computational analysis tools within a single unified framework • Written by authors at the cutting edge of research and application, as well as a top expert in sensitivity analysis • Spans fundamentals of optimization and analysis in addition to providing concrete application examples • Includes sample codes within the book implementing both Isogeometric Analysis and Isogeometric Shape Optimization as an accompaniment to the examples given
Author | : Jie Gao |
Publisher | : Springer Nature |
Total Pages | : 230 |
Release | : 2022-04-26 |
Genre | : Technology & Engineering |
ISBN | : 9811917701 |
Download Isogeometric Topology Optimization Book in PDF, ePub and Kindle
This book provides a systematic description about the development of Isogeometric Topology Optimization (ITO) method using the density, and then addresses the effectiveness and efficiency of the ITO method on several design problems, including multi-material structures, stress-minimization structures, piezoelectric structures and also with the uniform manufacturability, ultra-lightweight architected materials with extreme bulk/shear moduli, auxetic metamaterials and auxetic meta-composites with the NPRs behavior in microstructures. A detailed MATLAB implementation of the ITO method with an in-house code “IgaTop” is also presented.
Author | : Valer Vasiliev |
Publisher | : CRC Press |
Total Pages | : 626 |
Release | : 1999-03-22 |
Genre | : Technology & Engineering |
ISBN | : 9781566766869 |
Download Optimal Design Book in PDF, ePub and Kindle
Optimal Structural Design can be referred to as one of the most important and promising branches of applied mathematics and mechanics. This book reflects the culmination of Russian activity in the field of optimal structural design.
Author | : Bert Jüttler |
Publisher | : Springer |
Total Pages | : 301 |
Release | : 2015-12-21 |
Genre | : Mathematics |
ISBN | : 3319233157 |
Download Isogeometric Analysis and Applications 2014 Book in PDF, ePub and Kindle
Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools. It thus bridges the gap between numerical analysis and geometry, and moreover it allows to tackle new cutting edge applications at the frontiers of research in science and engineering. This proceedings volume contains a selection of outstanding research papers presented at the second International Workshop on Isogeometric Analysis and Applications, held at Annweiler, Germany, in April 2014.
Author | : Harald van Brummelen |
Publisher | : Springer Nature |
Total Pages | : 279 |
Release | : 2021-01-13 |
Genre | : Mathematics |
ISBN | : 3030498360 |
Download Isogeometric Analysis and Applications 2018 Book in PDF, ePub and Kindle
This proceedings volume gathers a selection of outstanding research papers presented at the third Conference on Isogeometric Analysis and Applications, held in Delft, The Netherlands, in April 2018. This conference series, previously held in Linz, Austria, in 2012 and Annweiler am Trifels, Germany, in 2014, has created an international forum for interaction between scientists and practitioners working in this rapidly developing field. Isogeometric analysis is a groundbreaking computational approach that aims to bridge the gap between numerical analysis and computational geometry modeling by integrating the finite element method and related numerical simulation techniques into the computer-aided design workflow, and vice versa. The methodology has matured over the last decade both in terms of our theoretical understanding, its mathematical foundation and the robustness and efficiency of its practical implementations. This development has enabled scientists and practitioners to tackle challenging new applications at the frontiers of research in science and engineering and attracted early adopters for this his novel computer-aided design and engineering technology in industry. The IGAA 2018 conference brought together experts on isogeometric analysis theory and application, share their insights into challenging industrial applications and to discuss the latest developments as well as the directions of future research and development that are required to make isogeometric analysis an established mainstream technology.
Author | : Luc Pronzato |
Publisher | : Springer Science & Business Media |
Total Pages | : 224 |
Release | : 2010-07-25 |
Genre | : Mathematics |
ISBN | : 0387799362 |
Download Optimal Design and Related Areas in Optimization and Statistics Book in PDF, ePub and Kindle
The present volume is a collective monograph devoted to applications of the optimal design theory in optimization and statistics. The chapters re?ect the topics discussed at the workshop “W-Optimum Design and Related Statistical Issues” that took place in Juan-les-Pins, France, in May 2005. The title of the workshop was chosen as a light-hearted celebration of the work of Henry Wynn. It was supported by the Laboratoire I3S (CNRS/Universit ́ e de Nice, Sophia Antipolis), to which Henry is a frequent visitor. The topics covered partly re?ect the wide spectrum of Henry’s research - terests. Algorithms for constructing optimal designs are discussed in Chap. 1, where Henry’s contribution to the ?eld is acknowledged. Steepest-ascent - gorithms used to construct optimal designs are very much related to general gradientalgorithmsforconvexoptimization. Inthelasttenyears,asigni?cant part of Henry’s research was devoted to the study of the asymptotic prop- ties of such algorithms. This topic is covered by Chaps. 2 and 3. The work by Alessandra Giovagnoli concentrates on the use of majorization and stoch- tic ordering, and Chap. 4 is a hopeful renewal of their collaboration. One of Henry’s major recent interests is what is now called algebraic statistics, the application of computational commutative algebra to statistics, and he was partly responsible for introducing the experimental design sub-area, reviewed in Chap. 5. One other sub-area is the application to Bayesian networks and Chap. 6 covers this, with Chap. 7 being strongly related.
Author | : Jorge Alberto López Zermeño |
Publisher | : |
Total Pages | : 0 |
Release | : 2022* |
Genre | : |
ISBN | : |
Download Isogeometric and CAD-based Methods for Shape and Topology Optimization: Sensitivity Analysis, Bézier Elements and Phase-field Approaches Book in PDF, ePub and Kindle
The Finite Element Method (FEM) is widely used in engineering for solving Partial Differential Equations (PDEs) over complex geometries. To this end, it is required to provide the FEM software with a geometric model that is typically constructed in a Computer-Aided Design (CAD) software. However, FEM and CAD use different approaches for the mathematical description of the geometry. Thus, it is required to generate a mesh, which is suitable for FEM, based on the CAD model. Nonetheless, this procedure is not a trivial task and it can be time consuming. This issue becomes more significant for solving shape and topology optimization problems, which consist in evolving the geometry iteratively. Therefore, the computational cost associated to the mesh generation process is increased exponentially for this type of applications. The main goal of this work is to investigate the integration of CAD and CAE in shape and topology optimization. To this end, numerical tools that close the gap between design and analysis are presented. The specific objectives of this work are listed below: • Automatize the sensitivity analysis in an isogeometric framework for applications in shape optimization. Applications for linear elasticity are considered. • A methodology is developed for providing a direct link between the CAD model and the analysis mesh. In consequence, the sensitivity analysis can be performed in terms of the design variables located in the design model. • The last objective is to develop an isogeometric method for shape and topological optimization. This method should take advantage of using Non-Uniform Rational B-Splines (NURBS) with higher continuity as basis functions. Isogeometric Analysis (IGA) is a framework designed to integrate the design and analysis in engineering problems. The fundamental idea of IGA is to use the same basis functions for modeling the geometry, usually NURBS, for the approximation of the solution fields. The advantage of integrating design and analysis is two-fold. First, the analysis stage is more accurate since the system of PDEs is not solved using an approximated geometry, but the exact CAD model. Moreover, providing a direct link between the design and analysis discretizations makes possible the implementation of efficient sensitivity analysis methods. Second, the computational time is significantly reduced because the mesh generation process can be avoided. ...
Author | : Josef M. Kiendl |
Publisher | : |
Total Pages | : 0 |
Release | : 2011 |
Genre | : |
ISBN | : |
Download Isogeometric Analysis and Shape Optimal Design of Shell Structures Book in PDF, ePub and Kindle
Author | : Thibaut Hirschler |
Publisher | : |
Total Pages | : 243 |
Release | : 2019 |
Genre | : |
ISBN | : |
Download Isogeometric Modeling for the Optimal Design of Aerostructures Book in PDF, ePub and Kindle
Designing structural parts against the material limits, the impact of loads, and many other constraints, is of standard interest in engineering. However, improving the design of a structure can be long and drawn out, especially when a clear understanding of cause-effect relationships is missing. Finding the best possible design, namely the optimal design, is a complex task because it requires several competences. Usually, efficient geometric modeling is needed to accurately represent the structure. Conjointly, the geometric model should provide high flexibility during the design exploration. In addition, structural analysis must be fast enough to shorten the overall process. Besides, for the sake of compactness, a close connection between the geometric model and the structural analysis seems essential. Finally, all modeling choices are deeply related, and thus, they should be thought and built accordingly to the others. Therefore, IsoGeometric Analysis appears as a powerful tool for structural optimization since it uses a unique model with both high quality geometric and analysis properties. Here, we present a compact framework built on the core idea of IGA. We strive to construct unified models with new opportunities for structural design with a direct application to stiffened Aerostructures. More specifically, we present a solid-shell approach to impose continuous thickness variations. We formulate analytical sensitivities for standard and shell formulations. Then, we introduce an embedded technique that enables to impose complex shape updates. From the analysis point of view, we design a specific solver based on Domain Decomposition methods and Mortar approach for the coupling of non-conforming discretizations. Different examples with increasing level of complexity show the performances of the adopted methodologies.
Author | : Maharavo Randrianarivony |
Publisher | : |
Total Pages | : 0 |
Release | : 2010 |
Genre | : |
ISBN | : 9783832524357 |
Download Quasi-optimal Local Refinements for Isogeometric Analysis in Two and Three Dimensions Book in PDF, ePub and Kindle
B-Spline and NURBS techniques have already been successfully used in Isogeometric Analysis which is a method for directly integrating CAD models in numerical simulations. Our purpose is to improve existing techniques to enhance the efficiency. First, we use local B-Spline subdivisions and knot insertions for the goal of achieving better accuracy in simulations where we concentrate on two and three dimensions. Our main emphasis is to keep the curved geometry describing the physical CAD domain intact during the whole simulation process. In order to avoid unnecessary global refinements, grids are allowed to be non-conforming. The treatment of nonmatching grids is done with the help of the interior penalty methods. Only local refinements are required during the adaptivity. To achieve that, an a-posteriori error indicator is introduced in order to dynamically evaluate the errors. That is, we use spline error gauge with the help of the de Boor-Fix functional. On the other hand, we allow mesh coarsenings at regions where a sparse mesh density is sufficient to achieve a prescribed accuracy. To obtain an optimal mesh, some method is described to choose the types of refinement which are likely to reduce the error most. That is done by accurately determining the bases of the enrichment spaces using non-uniform B-splines enhanced with discrete B-splines. That is, the space of approximation is hierarchically decomposed into a coarse space and an enrichment space. Finally, we report on some practical results from our implementations. Some adaptive grid refinements in 2D and 3D from problems such as internal layers are reported. Besides, we briefly describe the problems to encounter when handling real CAD models for IGA simulations. We address the problem of decomposing a CAD object into parametrized curved hexahedral blocks which can be subsequently used in mesh-free simulations. Some problems and extensions related to Boundary Element Method (BEM) which is treated on CAD or molecular surfaces are equally discussed.