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Topology Optimization Of Structures And Composite Continua


Topology Optimization Of Structures And Composite Continua
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Topology Optimization Of Structures And Composite Continua


Topology Optimization Of Structures And Composite Continua
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Author : George I. N. Rozvany
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-01-31

Topology Optimization Of Structures And Composite Continua written by George I. N. Rozvany and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-31 with Mathematics categories.


Topology optimization of structures and composite materials is a new and rapidly expanding field of mechanics which now plays an ever-increasing role in most branches of technology, such as aerospace, mechanical, structural, civil and ma terials engineering, with important implications for energy production as well as building and environmental sciences. It is a truly "high-tech" field which requires advanced computer facilities and computational methods, whilst involving unusual theoretical considerations in pure mathematics. Topology optimization deals with some of the most difficult problems of mechanical sciences, but it is also of consid erable practical interest because it can achieve much greater savings than conven tional (sizing or shape) optimization. Extensive research into topology optimization is being carried out in most of the developed countries of the world. The workshop addressed the state of the art of the field, bringing together re searchers from a diversity of backgrounds (mathematicians, information scientists, aerospace, automotive, mechanical, structural and civil engineers) to span the full breadth and depth of the field and to outline future developments in research and avenues of cooperation between NATO and Partner countries. The program cov ered • theoretical (mathematical) developments, • computer algorithms, software development and computational difficulties, and • practical applications in various fields of technology. A novel feature of the workshop was that, in addition to shorter discussions after each lecture, a 30 minutes panel discussion took place in each sesssion, which made this ARW highly interactive and more informal.



Topology Optimization In Structural And Continuum Mechanics


Topology Optimization In Structural And Continuum Mechanics
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Author : George I. N. Rozvany
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-20

Topology Optimization In Structural And Continuum Mechanics written by George I. N. Rozvany and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-20 with Science categories.


The book covers new developments in structural topology optimization. Basic features and limitations of Michell’s truss theory, its extension to a broader class of support conditions, generalizations of truss topology optimization, and Michell continua are reviewed. For elastic bodies, the layout problems in linear elasticity are discussed and the method of relaxation by homogenization is outlined. The classical problem of free material design is shown to be reducible to a locking material problem, even in the multiload case. For structures subjected to dynamic loads, it is explained how they can be designed so that the structural eigenfrequencies of vibration are as far away as possible from a prescribed external excitation frequency (or a band of excitation frequencies) in order to avoid resonance phenomena with high vibration and noise levels. For diffusive and convective transport processes and multiphysics problems, applications of the density method are discussed. In order to take uncertainty in material parameters, geometry, and operating conditions into account, techniques of reliability-based design optimization are introduced and reviewed for their applicability to topology optimization.



Metaheuristic Applications In Structures And Infrastructures


Metaheuristic Applications In Structures And Infrastructures
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Author : Xin-She Yang
language : en
Publisher: Newnes
Release Date : 2013-01-31

Metaheuristic Applications In Structures And Infrastructures written by Xin-She Yang and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-31 with Technology & Engineering categories.


Due to an ever-decreasing supply in raw materials and stringent constraints on conventional energy sources, demand for lightweight, efficient and low-cost structures has become crucially important in modern engineering design. This requires engineers to search for optimal and robust design options to address design problems that are commonly large in scale and highly nonlinear, making finding solutions challenging. In the past two decades, metaheuristic algorithms have shown promising power, efficiency and versatility in solving these difficult optimization problems. This book examines the latest developments of metaheuristics and their applications in structural engineering, construction engineering and earthquake engineering, offering practical case studies as examples to demonstrate real-world applications. Topics cover a range of areas within engineering, including big bang-big crunch approach, genetic algorithms, genetic programming, harmony search, swarm intelligence and some other metaheuristic methods. Case studies include structural identification, vibration analysis and control, topology optimization, transport infrastructure design, design of reinforced concrete, performance-based design of structures and smart pavement management. With its wide range of everyday problems and solutions, Metaheursitic Applications in Structures and Infrastructures can serve as a supplementary text for design courses and computation in engineering as well as a reference for researchers and engineers in metaheuristics, optimization in civil engineering and computational intelligence. - Review of the latest development of metaheuristics in engineering. - Detailed algorithm descriptions with focus on practical implementation. - Uses practical case studies as examples and applications.



Biomechanics


Biomechanics
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Author : Ghias Kharmanda
language : en
Publisher: John Wiley & Sons
Release Date : 2017-01-03

Biomechanics written by Ghias Kharmanda 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 2017-01-03 with Science categories.


In this book, the authors present in detail several recent methodologies and algorithms that they developed during the last fifteen years. The deterministic methods account for uncertainties through empirical safety factors, which implies that the actual uncertainties in materials, geometry and loading are not truly considered. This problem becomes much more complicated when considering biomechanical applications where a number of uncertainties are encountered in the design of prosthesis systems. This book implements improved numerical strategies and algorithms that can be applied to biomechanical studies.



Shape Optimization By The Homogenization Method


Shape Optimization By The Homogenization Method
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Author : Gregoire Allaire
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Shape Optimization By The Homogenization Method written by Gregoire Allaire and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


The topic of this book is homogenization theory and its applications to optimal design in the conductivity and elasticity settings. Its purpose is to give a self-contained account of homogenization theory and explain how it applies to solving optimal design problems, from both a theoretical and a numerical point of view. The application of greatest practical interest tar geted by this book is shape and topology optimization in structural design, where this approach is known as the homogenization method. Shape optimization amounts to finding the optimal shape of a domain that, for example, would be of maximal conductivity or rigidity under some specified loading conditions (possibly with a volume or weight constraint). Such a criterion is embodied by an objective function and is computed through the solution of astate equation that is a partial differential equa tion (modeling the conductivity or the elasticity of the structure). Apart from those areas where the loads are applied, the shape boundary is al ways assumed to support Neumann boundary conditions (i. e. , isolating or traction-free conditions). In such a setting, shape optimization has a long history and has been studied by many different methods. There is, therefore, a vast literat ure in this field, and we refer the reader to the following short list of books, and references therein [39], [42], [130], [135], [149], [203], [220], [225], [237], [245], [258].



Frontiers In Orthopaedic Biomechanics


Frontiers In Orthopaedic Biomechanics
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Author : Cheng-Kung Cheng
language : en
Publisher: Springer Nature
Release Date : 2020-04-30

Frontiers In Orthopaedic Biomechanics written by Cheng-Kung Cheng and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-30 with Medical categories.


This book provides state-of-the-art and up-to-date discussions on the pathology-related considerations and implications in the field of orthopaedic biomechanics. It presents fundamental engineering and mechanical theories concerning the biomechanics of orthopaedic and anatomical structures, and explores the biological and mechanical features that influence or modify the biomechanics of these structures. It also addresses clinically relevant biomechanical issues with a focus on diagnosis, injury, prevention and treatment. The first 12 chapters of the book provide a detailed review of the principles of orthopaedic biomechanics in the musculoskeletal system, including cartilage, bone, muscles and tendon, ligament, and multiple joints. Each chapter also covers important biomechanical concepts relevant to surgical and clinical practice. The remaining chapters examines clinically relevant trauma and injury challenges in the field, including diagnostic techniques such as movement analysis and rehabilitation intervention. Lastly it describes advanced considerations and approaches for fracture fixation, implant design, and biomaterials.



Introduction To The Numerical Modeling Of Groundwater And Geothermal Systems


Introduction To The Numerical Modeling Of Groundwater And Geothermal Systems
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Author : Jochen Bundschuh
language : en
Publisher: CRC Press
Release Date : 2010-07-05

Introduction To The Numerical Modeling Of Groundwater And Geothermal Systems written by Jochen Bundschuh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-05 with Technology & Engineering categories.


This book provides an introduction to the scientific fundamentals of groundwater and geothermal systems. In a simple and didactic manner the different water and energy problems existing in deformable porous rocks are explained as well as the corresponding theories and the mathematical and numerical tools that lead to modeling and solving them. This approach provides the reader with a thorough understanding of the basic physical laws of thermoporoelastic rocks, the partial differential equations representing these laws and the principal numerical methods, which allow finding approximate solutions of the corresponding mathematical models. The book also presents the form in which specific useful models can be generated and solved. The text is introductory in the sense that it explains basic themes of the systems mentioned in three areas: engineering, physics and mathematics. All the laws and equations introduced in this book are formulated carefully based on fundamental physical principles. This way, the reader will understand the key importance of mathematics applied to all the subjects. Simple models are emphasized and solved with numerous examples. For more sophisticated and advanced models the numerical techniques are described and developed carefully. This book will serve as a synoptic compendium of the fundamentals of fluid, solute and heat transport, applicable to all types of subsurface systems, ranging from shallow aquifers down to deep geothermal reservoirs. The book will prove to be a useful textbook to senior undergraduate and graduate students, postgraduates, professional geologists and geophysicists, engineers, mathematicians and others working in the vital areas of groundwater and geothermal resources.



Nonconservative Stability Problems Of Modern Physics


Nonconservative Stability Problems Of Modern Physics
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Author : Oleg N. Kirillov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-03-08

Nonconservative Stability Problems Of Modern Physics written by Oleg N. Kirillov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-08 with Science categories.


This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.



From Waves In Complex Systems To Dynamics Of Generalized Continua


From Waves In Complex Systems To Dynamics Of Generalized Continua
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Author : Kolumban Hutter
language : en
Publisher: World Scientific
Release Date : 2011

From Waves In Complex Systems To Dynamics Of Generalized Continua written by Kolumban Hutter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Technology & Engineering categories.


The book reviews recent research activities in applied mechanics and applied mathematics such as the fields of solid & fluid constitutive modeling for coupled fields, applications of geophysical & environmental context in judicious numerical-computational implementations. The book aims to merge foundation aspects of continuum mechanics with modern technological applications, notably on reviewing recent advances in the treated subjects in an attractive presentation accessible to a wide readership of engineering and applied sciences.



Topology Optimization


Topology Optimization
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Author : Martin Philip Bendsoe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Topology Optimization written by Martin Philip Bendsoe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


"The art of structure is where to put the holes" Robert Le Ricolais, 1894-1977 This is a completely revised, updated and expanded version of the book titled "Optimization of Structural Topology, Shape and Material" (Bends0e 1995). The field has since then developed rapidly with many new contributions to theory, computational methods and applications. This has that a simple editing of Bends0e (1995) had to be superseded by what meant is to a large extent a completely new book, now by two authors. This work is an attempt to provide a unified presentation of methods for the optimal design of topology, shape and material for continuum and discrete structures. The emphasis is on the now matured techniques for the topology design of continuum structures and its many applications that have seen the light of the day since the first monograph appeared. The technology is now well established and designs obtained with the use of topology optimization methods are in production on a daily basis. The efficient use of materials is important in many different settings. The aerospace industry and the automotive industry, for example, apply sizing and shape optimization to the design of structures and mechanical elements.