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Isogeometric Topology Optimization: Methods, Applications and Implementations, Gao Jie, Gao Liang, Xiao Mi


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Автор: Gao Jie, Gao Liang, Xiao Mi
Название:  Isogeometric Topology Optimization: Methods, Applications and Implementations
ISBN: 9789811917691
Издательство: Springer
Классификация:




ISBN-10: 9811917698
Обложка/Формат: Hardcover
Страницы: 236
Вес: 0.51 кг.
Дата издания: 28.05.2022
Серия: Engineering applications of computational methods
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 207 illustrations, color; 11 illustrations, black and white; xi, 222 p. 218 illus., 207 illus. in color.
Размер: 23.39 x 15.60 x 1.42 cm
Читательская аудитория: Professional & vocational
Подзаголовок: Methods, applications and implementations
Ссылка на Издательство: Link
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Поставляется из: Германии
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 Galerkins 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
Дополнительное описание: Introduction.- Density-based ITO method.- Density-based Multi-material ITO (M-ITO) method.- ITO for structures with stress-minimization.- ITO for piezoelectric structures with manufacturability.- ITO for architected materials.- ITO for auxetic metamateria



Автор: Nakajima, Kohei, Fischer, Ingo (Eds.)
Название: Reservoir Computing Theory, Physical Implementations, and Applications
ISBN: 9811316864 ISBN-13(EAN): 9789811316869
Издательство: Springer
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Цена: 23757.00 р.
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Описание: It originated from computational neuroscience and machine learning but has, in recent years, spread dramatically, and has been introduced into a wide variety of fields, including complex systems science, physics, material science, biological science, quantum machine learning, optical communication systems, and robotics.

FPGA Implementations of Neural Networks

Автор: Amos R. Omondi; Jagath C. Rajapakse
Название: FPGA Implementations of Neural Networks
ISBN: 1441939423 ISBN-13(EAN): 9781441939425
Издательство: Springer
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Цена: 23508.00 р.
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Описание: This lack of success may be largely attributed to the fact that earlier work was almost entirely aimed at developing custom neurocomputers, based on ASIC technology, but for such niche - eas this technology was never suf?ciently developed or competitive enough to justify large-scale adoption.

Matheuristics: Algorithms and Implementations

Автор: Maniezzo Vittorio, Boschetti Marco Antonio, Stьtzle Thomas
Название: Matheuristics: Algorithms and Implementations
ISBN: 3030702790 ISBN-13(EAN): 9783030702793
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This book is the first comprehensive tutorial on matheuristics. This tutorial provides a detailed discussion of both contributions, presenting the pseudocodes of over 40 algorithms, abundant literature references, and for each case a step-by-step description of a sample run on a common Generalized Assignment Problem example.

The Isogeometric Boundary Element Method

Автор: Beer Gernot, Marussig Benjamin, Duenser Christian
Название: The Isogeometric Boundary Element Method
ISBN: 3030233413 ISBN-13(EAN): 9783030233419
Издательство: Springer
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Цена: 11878.00 р.
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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.

The Isogeometric Boundary Element Method

Автор: Gernot Beer; Benjamin Marussig; Christian Duenser
Название: The Isogeometric Boundary Element Method
ISBN: 3030233383 ISBN-13(EAN): 9783030233389
Издательство: Springer
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Цена: 11878.00 р.
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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.

Fractional-Order Control Systems: Fundamentals and Numerical Implementations

Автор: Dingyu Xue
Название: Fractional-Order Control Systems: Fundamentals and Numerical Implementations
ISBN: 3110499991 ISBN-13(EAN): 9783110499995
Издательство: Walter de Gruyter
Цена: 20446.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. ContentsIntroduction to fractional calculus and fractional-order controlMathematical prerequisitesDefinitions and computation algorithms of fractional-order derivatives and IntegralsSolutions of linear fractional-order differential equationsApproximation of fractional-order operatorsModelling and analysis of multivariable fractional-order transfer function MatricesState space modelling and analysis of linear fractional-order SystemsNumerical solutions of nonlinear fractional-order differential EquationsDesign of fractional-order PID controllersFrequency domain controller design for multivariable fractional-order SystemsInverse Laplace transforms involving fractional and irrational OperationsFOTF Toolbox functions and modelsBenchmark problems for the assessment of fractional-order differential equation algorithms

Matheuristics: Algorithms and Implementations

Автор: Maniezzo Vittorio, Boschetti Marco Antonio, Stьtzle Thomas
Название: Matheuristics: Algorithms and Implementations
ISBN: 3030702766 ISBN-13(EAN): 9783030702762
Издательство: Springer
Цена: 11179.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book is the first comprehensive tutorial on matheuristics. This tutorial provides a detailed discussion of both contributions, presenting the pseudocodes of over 40 algorithms, abundant literature references, and for each case a step-by-step description of a sample run on a common Generalized Assignment Problem example.

Topology Optimization: Theory, Methods and Applications

Автор: Bendsoe M.P., Sigmund O.
Название: Topology Optimization: Theory, Methods and Applications
ISBN: 3540429921 ISBN-13(EAN): 9783540429920
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The topology optimization method solves the basic engineering problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design, which is concerned with the optimization of structural topology, shape and material. This edition has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state of the art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also MEMS and materials.

Geometric Challenges in Isogeometric Analysis

Автор: Manni
Название: Geometric Challenges in Isogeometric Analysis
ISBN: 3030923126 ISBN-13(EAN): 9783030923129
Издательство: Springer
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Цена: 22359.00 р.
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Описание: A variety of research topics in this context are covered, including (i) high-quality spline surfaces on complex and trimmed geometries, (ii) construction and analysis of smooth spline spaces on unstructured meshes, (iii) numerical aspects and benchmarking of isogeometric discretizations on unstructured meshes, meshing strategies and software.


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