Trimming Mapping And Optimization In Isogeometric Analysis Of Shell Structures


Trimming Mapping And Optimization In Isogeometric Analysis Of Shell Structures
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Trimming Mapping And Optimization In Isogeometric Analysis Of Shell Structures


Trimming Mapping And Optimization In Isogeometric Analysis Of Shell Structures
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Author : Robert Schmidt
language : en
Publisher:
Release Date : 2013

Trimming Mapping And Optimization In Isogeometric Analysis Of Shell Structures written by Robert Schmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.




Iga


Iga
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Author : Robin Bouclier
language : en
Publisher: John Wiley & Sons
Release Date : 2022-06-06

Iga written by Robin Bouclier and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-06 with Mathematics categories.


Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, about fifteen years after its creation, substantial works are being reported in IGA, which make it very competitive in scientific computing. This book provides a contemporary vision of IGA by first discussing the current challenges in achieving a true bridge between design and analysis, then proposing original solutions that answer the issues from an analytical point of view, and, eventually, studying the shape optimization of structures, which is one of the greatest applications of IGA. To handle complex structures, a full analysis-to-optimization framework is developed, based on non-invasive coupling, parallel domain decomposition and immersed geometrical modeling. This seems to be very robust, taking on all of the attractive features of IGA (the design–analysis link, numerical efficiency and natural regularization), giving us the opportunity to explore new types of design.



Isogeometric Analysis And Shape Optimal Design Of Shell Structures


Isogeometric Analysis And Shape Optimal Design Of Shell Structures
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Author : Josef M. Kiendl
language : en
Publisher:
Release Date : 2011

Isogeometric Analysis And Shape Optimal Design Of Shell Structures written by Josef M. Kiendl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.




Condensed Isogeometric Analysis For Plate And Shell Structures


Condensed Isogeometric Analysis For Plate And Shell Structures
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Author : Buntara Gan
language : en
Publisher: CRC Press
Release Date : 2019-10-08

Condensed Isogeometric Analysis For Plate And Shell Structures written by Buntara Gan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-08 with Technology & Engineering categories.


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



Isogeometric Analysis And Applications 2014


Isogeometric Analysis And Applications 2014
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Author : Bert Jüttler
language : en
Publisher: Springer
Release Date : 2015-12-21

Isogeometric Analysis And Applications 2014 written by Bert Jüttler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-21 with Mathematics categories.


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.



Condensed Isogeometric Analysis For Plate And Shell Structures


Condensed Isogeometric Analysis For Plate And Shell Structures
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Author : Buntara Gan
language : en
Publisher: CRC Press
Release Date : 2019

Condensed Isogeometric Analysis For Plate And Shell Structures written by Buntara Gan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Elastic plates and shells categories.


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



Humanizing Digital Reality


Humanizing Digital Reality
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Author : Klaas De Rycke
language : en
Publisher: Springer
Release Date : 2017-09-15

Humanizing Digital Reality written by Klaas De Rycke and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-15 with Technology & Engineering categories.


This book aims at finding some answers to the questions: What is the influence of humans in controlling CAD and how much is human in control of its surroundings? How far does our reach as humans really go? Do the complex algorithms that we use for city planning nowadays live up to their expectations and do they offer enough quality? How much data do we have and can we control? Are today’s inventions reversing the humanly controlled algorithms into a space where humans are controlled by the algorithms? Are processing power, robots for the digital environment and construction in particular not only there to rediscover what we already knew and know or do they really bring us further into the fields of constructing and architecture? The chapter authors were invited speakers at the 6th Symposium "Design Modelling Symposium: Humanizing Digital Reality", which took place in Ensa-Versailles, France from 16 - 20 September 2017.



Isogeometric Analysis


Isogeometric Analysis
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Author : J. Austin Cottrell
language : en
Publisher: John Wiley & Sons
Release Date : 2009-08-11

Isogeometric Analysis written by J. Austin Cottrell and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-11 with Technology & Engineering categories.


“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



The Finite Element Method Its Basis And Fundamentals


The Finite Element Method Its Basis And Fundamentals
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Author : Olek C Zienkiewicz
language : en
Publisher: Elsevier
Release Date : 2005-05-26

The Finite Element Method Its Basis And Fundamentals written by Olek C Zienkiewicz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-26 with Technology & Engineering categories.


The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms. • The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises • With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. The classic introduction to the finite element method, by two of the subject's leading authors Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text



Curves And Surfaces For Cagd


Curves And Surfaces For Cagd
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Author : Gerald E. Farin
language : en
Publisher: Morgan Kaufmann
Release Date : 2002

Curves And Surfaces For Cagd written by Gerald E. Farin and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.


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 ...