Описание: 1 Introduction 11.1 Topology optimization (Top-opt) 11.2 IsoGeometric Analysis (IGA) 31.3 Isogeometric Topology Optimization (ITO) 51.3.1 Density-based ITO methods 51.3.2 Level-set-based ITO methods 91.3.3 MMC/Vs-based ITO methods 111.4 Applications of topology optimization 121.4.1 Multi-material structures 121.4.2 Stress-related designs 141.4.3 Piezoelectric structures 161.4.4 Architected materials 181.4.5 Auxetic meta-materials/composites 201.5 Implementations of topology optimization 211.6 The main focus of the current monograph 222 The Density-based ITO method 252.1 NURBS-based IGA for numerical analysis model 252.1.1 NURBS basis functions 252.1.2 Galerkin's Formulation for elastostatics 272.2 Density Distribution Function (DDF) for topology description model 282.2.1 NURBS for structural geometry 282.2.2 Density Distribution Function ( 302.2.3 Material interpolation model 332.3 The ITO formulations for two problems 342.3.1 ITO formulation for the stiffness-maximization 342.3.2 ITO formulation for compliant mechanism design 352.4 Numerical implementations 362.5 Numerical examples 372.5.1 Several numerical examples in 2D 382.5.2 Several numerical examples in 3D 442.5.3 Discussions on the smoothing mechanism 472.6 Discussions on the indispensability of the ITO method 48II2.6.1 Problems in the classic SIMP method ........................................................................................................................................ 482.6.2 The extension of the DDF ............................................................................................................................................................................ 512.6.3 Comparisons between the ITO and the FEM-based three-field SIMP...................................... 522.6.4 Numerical examples .............................................................................................................................................................................................. 532.7 Appendix for sensitivity analysis .................................................................................................................................................................... 622.8 Summary .............................................................................................................................................................................................................................................. 643 The Multi-material ITO (M-ITO) method ............................................................................................................................................................ 663.1 NURBS-based Multi-Material Interpolation (N-MMI) ................................................................................................ 663.1.1 The Field of Design Variables (DVF) ........................................................................................................................................ 663.1.2 The Field of Topology Variables (TVF) .................................................................................................................................. 663.1.3 Multi-material interpolation model .............................................................................................................................................. 673.2 Multi-material Isogeometric Topology Optimization (M-ITO) ........................................................................ 693.3 Design se
Описание: This book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems.
Автор: Juttler Bert, Simeon Bernd Название: Isogeometric Analysis and Applications 2014 ISBN: 3319794701 ISBN-13(EAN): 9783319794709 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools.
Автор: Christopher G. Provatidis Название: Precursors of Isogeometric Analysis ISBN: 3030038882 ISBN-13(EAN): 9783030038885 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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.
Автор: Van Brummelen Harald, Vuik Cornelis, Mцller Matthias Название: Isogeometric Analysis and Applications 2018 ISBN: 3030498387 ISBN-13(EAN): 9783030498382 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Описание: This book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems.
Автор: Buffa Annalisa Название: Isogeometric Analysis: A New Paradigm in the Numerical Appro ISBN: 3319423088 ISBN-13(EAN): 9783319423081 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Providing an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding.
Автор: Van Brummelen Harald, Vuik Cornelis, Mцller Matthias Название: Isogeometric Analysis and Applications 2018 ISBN: 3030498352 ISBN-13(EAN): 9783030498351 Издательство: Springer Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Gernot Beer; Benjamin Marussig; Christian Duenser Название: The Isogeometric Boundary Element Method ISBN: 3030233383 ISBN-13(EAN): 9783030233389 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.
Автор: Beer Gernot, Marussig Benjamin, Duenser Christian Название: The Isogeometric Boundary Element Method ISBN: 3030233413 ISBN-13(EAN): 9783030233419 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation.
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