Rotation Reflection And Frame Changes
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Rotation Reflection And Frame Changes
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Author : Rebecca M Brannon
language : en
Publisher:
Release Date : 2018-05-23
Rotation Reflection And Frame Changes written by Rebecca M Brannon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-23 with categories.
Orthogonal tensors are mainly used to describe rotation. They play a central role in robotics, rigid-body kinematics, and all other branches of engineering mechanics, especially for modelling elastic and inelastic behavior of materials. Whilst vast literature is available for common rotation-related tasks, such as coordinate changes, most reference books tend to cover one or two methods for handling rotations, while often neglecting relatively obscure rotation-related tasks, such as statistical sampling of rotation for multiscale constitutive modeling. Further specialized rotation-related research can be found only in disparate journal articles. Of the few books that do exist, most are aimed at mathematicians, leaving a need for this self-contained engineering focused review that covers both elementary and advanced concepts. Rotation, Reflection, and Frame Changes presents a refreshingly broad range of rotation-related research that is routinely needed in modern engineering practice. By including theorems and physical insight acquired over her 30+ career as both as laboratory and university researcher, Rebecca Brannon has created a truly practical and accessible guide for engineers and scientists in engineering mechanics. Although the book assumes familiarity with multivariate calculus, linear algebra, and elementary tensor analysis, tutorials and provided computer source code guide the reader through more advanced topics.
Rotation Reflection And Frame Changes
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Author : Rebecca M. Brannon
language : en
Publisher: IOP Publishing Limited
Release Date : 2018
Rotation Reflection And Frame Changes written by Rebecca M. Brannon and has been published by IOP Publishing Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Science categories.
Rotation, Reflection, and Frame Changes is an engineer's practical resource for rotation-related theorems that might otherwise be difficult to find in the literature. By providing extensive tutorials in requisite mathematics, intuitive insight, and computer source code, this work stands as a definitive contribution to engineering mechanics.
Homogenization Methods
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Author : Rainer Glüge
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-02-20
Homogenization Methods written by Rainer Glüge 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 2023-02-20 with Technology & Engineering categories.
Almost all materials are inhomogeneous at the microscale. Typical examples are fiber- and grain structures made of anisotropic phases. These cannot be accounted for in detail in engineering calculations. Instead, effective, homogeneous material properties are used. These are obtained from the inhomogeneous structures by homogenization methods. This book provides a structured overview of the analytical homogenization methods, including the most common estimates, bounds, and Fourier methods. The focus is on linear and anisotropic constitutive relationships, like Hookean elasticity and Fourier’s law for thermal conduction. All sections are accompanied by example calculations, including program code that is also available online.
Nonlinear Wave Dynamics Of Materials And Structures
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2020-04-22
Nonlinear Wave Dynamics Of Materials And Structures written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Technology & Engineering categories.
This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev’s contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.
Continuum Mechanics For Engineers
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Author : G. Thomas Mase
language : en
Publisher: CRC Press
Release Date : 2020-05-01
Continuum Mechanics For Engineers written by G. Thomas Mase and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-01 with Science categories.
A bestselling textbook in its first three editions, Continuum Mechanics for Engineers, Fourth Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. It provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. Through a mastery of this volume’s contents and additional rigorous finite element training, readers will develop the mechanics foundation necessary to skillfully use modern, advanced design tools. Features: Provides a basic, understandable approach to the concepts, mathematics, and engineering applications of continuum mechanics Updated throughout, and adds a new chapter on plasticity Features an expanded coverage of fluids Includes numerous all new end-of-chapter problems With an abundance of worked examples and chapter problems, it carefully explains necessary mathematics and presents numerous illustrations, giving students and practicing professionals an excellent self-study guide to enhance their skills.
Fundamentals Of Acoustic Waves And Applications
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Author : Sanichiro Yoshida
language : en
Publisher: Springer Nature
Release Date : 2024-03-01
Fundamentals Of Acoustic Waves And Applications written by Sanichiro Yoshida and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-01 with Science categories.
This book discusses acoustic waves in five chapters. Chapter 1 reviews the general properties of waves. Chapter 2 presents the acoustic waves in fluid and solids, including the wave equations in the respective media. Chapter 3 discusses the propagation of audible acoustic waves in the air. The discussion includes analyses of speech and music we hear in the time and frequency domains. Chapter 4 discusses the propagation of acoustic waves in solids. Unlike in the air, sound waves take complicated forms in solids; they can be both in longitudinal and transverse modes, and mode conversions can occur upon reflection. Although these behaviors make the analysis difficult, we can apply them to engineering problems. Chapter 5 describes the transduction of acoustic signals. It presents acoustic transmitters and sensors along with their operation principles. Finally, Chapter 6 presents several techniques used in engineering. It is also useful to consider applying acoustic and optical techniques to engineering problems.
Fiber Orientation Tensors And Mean Field Homogenization Application To Sheet Molding Compound
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Author : Bauer, Julian Karl
language : en
Publisher: KIT Scientific Publishing
Release Date : 2023-02-27
Fiber Orientation Tensors And Mean Field Homogenization Application To Sheet Molding Compound written by Bauer, Julian Karl and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-27 with Technology & Engineering categories.
Effective mechanical properties of fiber-reinforced composites strongly depend on the microstructure, including the fibers' orientation. Studying this dependency, we identify the variety of fiber orientation tensors up to fourth-order using irreducible tensors and material symmetry. The case of planar fiber orientation tensors, relevant for sheet molding compound, is presented completely. Consequences for the reconstruction of fiber distributions and mean field homogenization are presented.
Tensor Analysis For Engineers
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Author : Mehrzad Tabatabaian
language : en
Publisher: Mercury Learning and Information
Release Date : 2020-10-13
Tensor Analysis For Engineers written by Mehrzad Tabatabaian and has been published by Mercury Learning and Information this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-13 with Technology & Engineering categories.
Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. The geometry is limited to the Euclidean space/geometry, where the Pythagorean Theorem applies, with well-defined Cartesian coordinate systems as the reference. Quantities defined in curvilinear coordinate systems, like cylindrical, spherical, parabolic, etc. are discussed and several examples and coordinates sketches with related calculations are presented. In addition, the book has several worked-out examples for helping readers with mastering the topics provided in the prior sections. FEATURES: Expanded content on the rigid body rotation and Cartesian tensors by including Euler angles and quaternion methods Easy to understand mathematical concepts through numerous figures, solved examples, and exercises List of gradient-like operators for major systems of coordinates.
Interventions For Persisting Ductus Arteriosus In The Preterm Infant
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Author : Michael Obladen
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
Interventions For Persisting Ductus Arteriosus In The Preterm Infant written by Michael Obladen 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 2005 with Family & Relationships categories.
Over the past few years a remarkably rapid evolution in the professional level of neonatology and in the survival of immature infants has been witnessed. Persisting ductus arteriosus is common in this population and is associated with impaired longterm outcome. Many uncertainties exist concerning indication, approach, best time, and side effects of necessary measurements and interventions to avoid later neurodevelopmental handicaps of the survivors. Experts in neonatology and pediatric cardiology give their opinion in this book. We are sure it will help to define the level of evidence and to develop standards of intervention for persisting ductus arteriosus in Europe. Adequate dealing with the ductus will become a challenge for every perinatal center.
From Special Relativity To Feynman Diagrams
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Author : Riccardo D'Auria
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-28
From Special Relativity To Feynman Diagrams written by Riccardo D'Auria 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 2011-09-28 with Science categories.
The first two chapters of the book deal, in a detailed way, with relativistic kinematics and dynamics, while in the third chapter some elementary concepts of General Relativity are given. Eventually, after an introduction to tensor calculus, a Lorentz covariant formulation of electromagnetism is given its quantization is developed. For a proper treatment of invariance and conservation laws in physics, an introductory chapter on group theory is given. This introduction is propedeutical to the discussion of conservation laws in the Lagrangian and Hamiltonian formalism, which will allow us to export this formalism to quantum mechanics and, in particular, to introduce linear operators on quantum states and their transformation laws. In the last part of the book we analyze, in the first quantized formalism, relativistic field theory for both boson and fermion fields. The second quantization of free fields is then introduced and some preliminary concepts of perturbation theory and Feynmann diagrams are given and some relevant examples are worked out.