Isogeometric Analysis For Engineers Via Matlab

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Isogeometric Analysis for Engineers Via MATLAB

Author : John Edward Akin
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811288531
Total Pages : 0 pages
Book Rating : 4.2/5 (885 download)

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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.

Isogeometric Analysis

Author : J. Austin Cottrell
Publisher : John Wiley & Sons
ISBN 13 : 0470749091
Total Pages : 352 pages
Book Rating : 4.4/5 (77 download)

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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

Isogeometric Methods for Numerical Simulation

Author : Gernot Beer
Publisher : Springer
ISBN 13 : 3709118433
Total Pages : 240 pages
Book Rating : 4.7/5 (91 download)

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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.

Precursors of Isogeometric Analysis

Author : Christopher G. Provatidis
Publisher : Springer
ISBN 13 : 3030038890
Total Pages : 602 pages
Book Rating : 4.0/5 (3 download)

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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 602 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.

Curves and Surfaces for CAGD

Author : Gerald E. Farin
Publisher : Morgan Kaufmann
ISBN 13 : 1558607374
Total Pages : 522 pages
Book Rating : 4.5/5 (586 download)

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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 ...

Isogeometric analysis and hierarchical refinement for multi-field contact problems

Author : Dittmann, Maik
Publisher : KIT Scientific Publishing
ISBN 13 : 3731506165
Total Pages : 150 pages
Book Rating : 4.7/5 (315 download)

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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.

Isogeometric Analysis and Applications 2014

Author : Bert Jüttler
Publisher : Springer
ISBN 13 : 3319233157
Total Pages : 301 pages
Book Rating : 4.3/5 (192 download)

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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.

Isogeometric Analysis and Applications 2018

Author : Harald van Brummelen
Publisher : Springer Nature
ISBN 13 : 3030498360
Total Pages : 279 pages
Book Rating : 4.0/5 (34 download)

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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.

Condensed Isogeometric Analysis for Plate and Shell Structures

Author : Buntara Gan
Publisher : CRC Press
ISBN 13 : 0429680708
Total Pages : 293 pages
Book Rating : 4.4/5 (296 download)

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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 293 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

Application of Numerical Methods in Engineering Problems using MATLAB®

Author : M.S.H. Al-Furjan
Publisher : CRC Press
ISBN 13 : 1000851028
Total Pages : 297 pages
Book Rating : 4.0/5 (8 download)

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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.

Extended Finite Element and Meshfree Methods

Author : Timon Rabczuk
Publisher : Academic Press
ISBN 13 : 0128141077
Total Pages : 640 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Extended Finite Element and Meshfree Methods by : Timon Rabczuk

Download or read book Extended Finite Element and Meshfree Methods written by Timon Rabczuk and published by Academic Press. This book was released on 2019-11-13 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications. - Explains all the important theory behind XFEM and meshfree methods - Provides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codes - Draws on the latest research to explore new topics, such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methods - Introduces alternative modeling methods to help readers decide what is most appropriate for their work

Programming for Computations - MATLAB/Octave

Author : Svein Linge
Publisher : Springer
ISBN 13 : 3319324527
Total Pages : 228 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Programming for Computations - MATLAB/Octave by : Svein Linge

Download or read book Programming for Computations - MATLAB/Octave written by Svein Linge and published by Springer. This book was released on 2016-08-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

Finite Element Analysis: With Numeric And Symbolic Matlab

Author : John Edward Akin
Publisher : World Scientific
ISBN 13 : 9811250634
Total Pages : 662 pages
Book Rating : 4.8/5 (112 download)

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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.

An Isogeometric Approach to Beam Structures

Author : Buntara S. Gan
Publisher : Springer
ISBN 13 : 3319564935
Total Pages : 240 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis An Isogeometric Approach to Beam Structures by : Buntara S. Gan

Download or read book An Isogeometric Approach to Beam Structures written by Buntara S. Gan and published by Springer. This book was released on 2017-06-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes a novel, original condensation method to beam formulation based on the isogeometric approach to reducing the degrees of freedom to conventional two-node beam elements. In this volume, the author defines the Buntara Condensation Formulation: a unique formulation in condensing the dynamic equilibrium equation for beam structures, suitable for reducing the number of unlimited dynamic equations necessary to yield a classic two-node beam element. Professor Buntara’s method overcomes the problem of the isogeometric approach where the number of degrees of freedom is increased along with the complexity of the geometrical beam element and facilitates implementation of the codes into the existing beam structures programs, and CAD geometrical data into the conventional FE beam element codes. The book proposes a new reduction method where the beam element can be treated as under the conventional beam element theory that has only two nodes at both ends.

Adaptive Hierarchical Isogeometric Finite Element Methods

Author : Anh-Vu Vuong
Publisher : Springer Science & Business Media
ISBN 13 : 3834824453
Total Pages : 139 pages
Book Rating : 4.8/5 (348 download)

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Book Synopsis Adaptive Hierarchical Isogeometric Finite Element Methods by : Anh-Vu Vuong

Download or read book Adaptive Hierarchical Isogeometric Finite Element Methods written by Anh-Vu Vuong and published by Springer Science & Business Media. This book was released on 2012-05-01 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isogeometric finite elements combine the numerical solution of partial differential equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient adaptive simulation. Thereby a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method.

Proceedings of GeoShanghai 2018 International Conference: Transportation Geotechnics and Pavement Engineering

Author : Xianming Shi
Publisher : Springer
ISBN 13 : 9811300119
Total Pages : 511 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Proceedings of GeoShanghai 2018 International Conference: Transportation Geotechnics and Pavement Engineering by : Xianming Shi

Download or read book Proceedings of GeoShanghai 2018 International Conference: Transportation Geotechnics and Pavement Engineering written by Xianming Shi and published by Springer. This book was released on 2018-05-03 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the fourth volume of the proceedings of the 4th GeoShanghai International Conference that was held on May 27 - 30, 2018. This volume, entitled “Transportation Geotechnics and Pavement Engineering”, represents the recent advances and technologies in transportation geotechnics and pavement engineering. This book covers a wide range of topics, from transportation geotechnics, to geomechanics at various length scales, to pavement materials and structures. The book offers a unique mix of numerical modeling studies, experimental studies, and case studies from industry. It may be of interest to researchers and practitioners in the fields of transportation engineering and pavement engineering. Each of the papers included in this book received at least two positive peer reviews. The editors would like to express their sincerest appreciation to all of the anonymous reviewers all over the world, for their diligent work.

Insights and Innovations in Structural Engineering, Mechanics and Computation

Author : Alphose Zingoni
Publisher : CRC Press
ISBN 13 : 1317280636
Total Pages : 2223 pages
Book Rating : 4.3/5 (172 download)

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Book Synopsis Insights and Innovations in Structural Engineering, Mechanics and Computation by : Alphose Zingoni

Download or read book Insights and Innovations in Structural Engineering, Mechanics and Computation written by Alphose Zingoni and published by CRC Press. This book was released on 2016-11-25 with total page 2223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insights and Innovations in Structural Engineering, Mechanics and Computation comprises 360 papers that were presented at the Sixth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2016, Cape Town, South Africa, 5-7 September 2016). The papers reflect the broad scope of the SEMC conferences, and cover a wide range of engineering structures (buildings, bridges, towers, roofs, foundations, offshore structures, tunnels, dams, vessels, vehicles and machinery) and engineering materials (steel, aluminium, concrete, masonry, timber, glass, polymers, composites, laminates, smart materials).