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Isogeometric Analysis For Engineers Via Matlab
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Book Synopsis Isogeometric Analysis for Engineers Via MATLAB by : John Edward Akin
Download or read book Isogeometric Analysis for Engineers Via MATLAB written by John Edward Akin and published by World Scientific Publishing Company. This book was released on 2024-06-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique compendium approaches the relatively new Isogeometric Analysis (IGA) methods at senior undergraduates level in engineering or applied mathematics. It describes the differences between the well-established Finite Element Analysis (FEA) methods and why they are being replaced, or enhanced, by the latest developments in IGA.The book begins with summaries of the concepts of B-splines, NURBS, and 'knot vectors' which define them as exact representations of the geometry and as powerful analysis functions having higher continuity than the FEA use of Lagrange polynomials.The useful reference text includes Appendices with Matlab scripts for creating B-spline basis functions, topics in computer aided geometric design (CAGD) from which IGA arose, and matrix operations common to IGA and FEA. It also informs FEA users of the enhancements offered by IGA.
Book Synopsis Condensed Isogeometric Analysis for Plate and Shell Structures by : Buntara Gan
Download or read book Condensed Isogeometric Analysis for Plate and Shell Structures written by Buntara Gan and published by CRC Press. This book was released on 2019-10-08 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Condensed Isogeometric Analysis for Plates and Shell Structures proposes a novel technique for plate and shell governing equations based on isogeometric analysis, which condenses the dynamic equilibrium equation for plate and shell structures—suitable for reducing the computation cost of large degrees of freedom due to the adoption of Non-Uniform Rational Basis Spline (NURBS) models in the plate and shell element formulations. It features useful guidance for understanding the isogeometric approach and includes accompanying MATLAB® source code in each chapter to deepen readers' understanding of the fundamental theories and methods of civil, architectural, and mechanical engineering. Features: Adopts a progressive and rigorous presentation of relevant topics to facilitate use by students, academics, and professionals Seamlessly integrates the CAD geometrical data into the conventional FE plate and shell classical element codes Allows computation of analytical solutions of plate and shell theories based on a newly-introduced condensation method, not approximation theory Includes relevant MATLAB® codes
Book Synopsis Isogeometric Methods for Numerical Simulation by : Gernot Beer
Download or read book Isogeometric Methods for Numerical Simulation written by Gernot Beer and published by Springer. This book was released on 2015-01-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the state of the art in isogeometric modeling and shows how the method has advantaged. First an introduction to geometric modeling with NURBS and T-splines is given followed by the implementation into computer software. The implementation in both the FEM and BEM is discussed.
Book Synopsis Isogeometric Analysis and Applications 2014 by : Bert Jüttler
Download or read book Isogeometric Analysis and Applications 2014 written by Bert Jüttler and published by Springer. This book was released on 2015-12-21 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Isogeometric Analysis and Applications 2018 by : Harald van Brummelen
Download or read book Isogeometric Analysis and Applications 2018 written by Harald van Brummelen and published by Springer Nature. This book was released on 2021-01-13 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Isogeometric Analysis by : J. Austin Cottrell
Download or read book Isogeometric Analysis written by J. Austin Cottrell and published by John Wiley & Sons. This book was released on 2009-08-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The authors are the originators of isogeometric analysis, are excellent scientists and good educators. It is very original. There is no other book on this topic.” —René de Borst, Eindhoven University of Technology Written by leading experts in the field and featuring fully integrated colour throughout, Isogeometric Analysis provides a groundbreaking solution for the integration of CAD and FEA technologies. Tom Hughes and his researchers, Austin Cottrell and Yuri Bazilevs, present their pioneering isogeometric approach, which aims to integrate the two techniques of CAD and FEA using precise NURBS geometry in the FEA application. This technology offers the potential to revolutionise automobile, ship and airplane design and analysis by allowing models to be designed, tested and adjusted in one integrative stage. Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique. The authors offer a clear explanation as to how to add isogeometric capabilities to existing finite element computer programs, demonstrating how to implement and use the technology. Detailed programming examples and datasets are included to impart a thorough knowledge and understanding of the material. Provides examples of different applications, showing the reader how to implement isogeometric models Addresses readers on both sides of the CAD/FEA divide Describes Non-Uniform Rational B-Splines (NURBS) basis functions
Book Synopsis Precursors of Isogeometric Analysis by : Christopher G. Provatidis
Download or read book Precursors of Isogeometric Analysis written by Christopher G. Provatidis and published by Springer. This book was released on 2019-01-01 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE. It includes applications to a broad spectrum of engineering (benchmark) application problems, such as elasto-statics/dynamics and potential problems (thermal, acoustics, electrostatics). It also provides a large number of test cases, with full documentation of original sources, making it a valuable resource for any student or researcher in FEA-related areas. The book, which assumes readers have a basic knowledge of FEA, can be used as additional reading for engineering courses as well as for other interdepartmental MSc courses.
Book Synopsis Curves and Surfaces for CAGD by : Gerald E. Farin
Download or read book Curves and Surfaces for CAGD written by Gerald E. Farin and published by Morgan Kaufmann. This book was released on 2002 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- Chapter 1 P. B̌ezier: How a Simple System Was Born -- Chapter 2 Introductory Material -- Chapter 3 Linear Interpolation -- Chapter 4 The de Casteljau Algorithm -- Chapter 5 The Bernstein Form of a B̌ezier Curve -- Chapter 6 B̌ezier Curve Topics -- Chapter 7 Polynomial Curve Constructions -- Chapter 8 B-Spline Curves -- Chapter 9 Constructing Spline Curves -- Chapter 10 W. Boehm: Differential Geometry I -- Chapter 11 Geometric Continuity -- Chapter 12 ConicSections -- Chapter 13 Rational B̌ezier and B-Spline Curves -- Chapter 14 Tensor Product Patches -- Chapter 15 Constructing Polynomial Patches -- Chapter 16 Composite Surfaces -- Chapter 17 B̌ezier Triangles -- Chapter 18 Practical Aspects of B̌ezier Triangles -- Chapter 19 W. Boehm: Differential Geometry II -- Chapter 20 GeometricContinuityforSurfaces -- Chapter 21 Surfaces with Arbitrary Topology -- Chapter 22 Coons Patches -- Chapter 23 Shape -- Chapter 24 Evaluation of Some Methods -- Appendix A Quick Reference of Curve ...
Book Synopsis Isogeometric analysis and hierarchical refinement for multi-field contact problems by : Dittmann, Maik
Download or read book Isogeometric analysis and hierarchical refinement for multi-field contact problems written by Dittmann, Maik and published by KIT Scientific Publishing. This book was released on 2017-03-20 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work deals with multi-field contact problems in the context of IGA. In particular, a thermomechanical as well as a fracture mechanical system is considered, where novel formulations are introduced for both. The corresponding discrete contact formulations are based on a variationally consistent mortar approach adapted for NURBS discretized and hierarchical refined surfaces. Finally, the capabilities of the proposed framework are demonstrated within numerous numerical examples.
Book Synopsis Condensed Isogeometric Analysis for Plate and Shell Structures by : Buntara Gan
Download or read book Condensed Isogeometric Analysis for Plate and Shell Structures written by Buntara Gan and published by CRC Press. This book was released on 2019 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Condensed Isogeometric Analysis for Plates and Shell Structures proposes a novel technique for plate and shell governing equations based on isogeometric analysis, which condenses the dynamic equilibrium equation for plate and shell structures--suitable for reducing the computation cost of large degrees of freedom due to the adoption of Non-Uniform Rational Basis Spline (NURBS) models in the plate and shell element formulations. It features useful guidance for understanding the isogeometric approach and includes accompanying MATLAB(R) source code in each chapter to deepen readers' understanding of the fundamental theories and methods of civil, architectural, and mechanical engineering. Features: Adopts a progressive and rigorous presentation of relevant topics to facilitate use by students, academics, and professionals Seamlessly integrates the CAD geometrical data into the conventional FE plate and shell classical element codes Allows computation of analytical solutions of plate and shell theories based on a newly-introduced condensation method, not approximation theory Includes relevant MATLAB(R) codes
Book Synopsis Numerical Methods in Engineering with MATLAB® by : Jaan Kiusalaas
Download or read book Numerical Methods in Engineering with MATLAB® written by Jaan Kiusalaas and published by Cambridge University Press. This book was released on 2005-08 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods in Engineering with MATLAB®, a student text, and a reference for practicing engineers.
Book Synopsis Application of Numerical Methods in Engineering Problems using MATLAB® by : M.S.H. Al-Furjan
Download or read book Application of Numerical Methods in Engineering Problems using MATLAB® written by M.S.H. Al-Furjan and published by CRC Press. This book was released on 2024-01-31 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Application of Numerical Methods in Engineering Problems Using MATLAB® presents an analysis of structures using numerical methods and mathematical modeling. This structural analysis also includes beam, plate, and pipe elements, and examines deflection and frequency or buckling loads. The various engineering theories of beams/plates/shells are comprehensively presented, and the relationships between stress and strain, and the governing equations of the structure are extracted. To solve governing equations with numerical methods, there are two general types, including methods based on derivatives or integrals. Derivative-based methods have the advantage of flexibility in modeling boundary conditions, low analysis time, and a very high degree of accuracy. Therefore, the book explains numerical methods based on derivatives, especially the differential quadrature method. Features: Examines the application of numerical methods to obtain the deflection, frequency, and buckling loads. Discusses the application of numerical methods for solving motion equations. Includes numerous practical and applicable examples throughout.
Book Synopsis Numerical Methods in Engineering with MATLAB® by : Jaan Kiusalaas
Download or read book Numerical Methods in Engineering with MATLAB® written by Jaan Kiusalaas and published by Cambridge University Press. This book was released on 2010 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is for engineering students and practising engineers who wish to explore the power and efficiency of MATLAB.
Book Synopsis Finite Element Analysis: With Numeric And Symbolic Matlab by : John Edward Akin
Download or read book Finite Element Analysis: With Numeric And Symbolic Matlab written by John Edward Akin and published by World Scientific. This book was released on 2022-12-02 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive compendium presents the detailed theory, implementation and application of finite element analysis via heavily commented Matlab scripts. The book includes over 110 examples of the methods, and has a very detailed subject index. It uniquely illustrates the use of symbolic Matlab capabilities to derive element interpolation functions and to analytically integrated complicated element matrices.The useful volume text is suitable as a reference on finite element methods and efficient Matlab programming. Chapters prominently end with a detailed summary of the important features and tables of useful finite element matrices. It can be used as the textbook for introductory, intermediate, or advanced courses utilizing numerically integrated and curvilinear element.
Book Synopsis Numerical Methods for Engineers and Scientists Using MATLAB® by : Ramin S. Esfandiari
Download or read book Numerical Methods for Engineers and Scientists Using MATLAB® written by Ramin S. Esfandiari and published by CRC Press. This book was released on 2017-04-25 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a pragmatic, methodical and easy-to-follow presentation of numerical methods and their effective implementation using MATLAB, which is introduced at the outset. The author introduces techniques for solving equations of a single variable and systems of equations, followed by curve fitting and interpolation of data. The book also provides detailed coverage of numerical differentiation and integration, as well as numerical solutions of initial-value and boundary-value problems. The author then presents the numerical solution of the matrix eigenvalue problem, which entails approximation of a few or all eigenvalues of a matrix. The last chapter is devoted to numerical solutions of partial differential equations that arise in engineering and science. Each method is accompanied by at least one fully worked-out example showing essential details involved in preliminary hand calculations, as well as computations in MATLAB.
Book Synopsis Isogeometric Topology Optimization by : Jie Gao
Download or read book Isogeometric Topology Optimization written by Jie Gao and published by Springer Nature. This book was released on 2022-04-26 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numerical Methods in Engineering with MATLAB® by : Jaan Kiusalaas
Download or read book Numerical Methods in Engineering with MATLAB® written by Jaan Kiusalaas and published by Cambridge University Press. This book was released on 2015-10-20 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this successful text describes and evaluates a range of widely used numerical methods, with an emphasis on problem solving. Every method is discussed thoroughly and illustrated with problems involving both hand computation and programming. MATLAB® M-files accompany each method and are available on the book's web page. Code is made simple and easy to understand by avoiding complex book-keeping schemes, while maintaining the essential features of the method. The third edition features a new chapter on Euler's method, a number of new and improved examples and exercises, and programs which appear as function M-files. Numerical Methods in Engineering with MATLAB®, 3rd edition is a useful resource for both graduate students and practicing engineers.
