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Título : Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable Tipo de documento: documento electrónico Autores: Farouki, Rida T ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2008 Colección: Geometry and Computing, ISSN 1866-6795 num. 1 Número de páginas: XVI, 728 p. 204 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-73398-0 Idioma : Inglés (eng) Palabras clave: Mathematics Computer graphics Computer-aided engineering Algebra mathematics Geometry Computational intelligence Computer-Aided Engineering (CAD, CAE) and Design Numerical Analysis Imaging, Vision, Pattern Recognition Graphics Intelligence Clasificación: 51 Matemáticas Resumen: By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. Special features include an emphasis on the interplay of ideas from algebra and geometry and their historical origins, detailed algorithm descriptions, and many figures and worked examples. The book may appeal, in whole or in part, to mathematicians, computer scientists, and engineers Nota de contenido: Algebra -- Preamble -- Polynomials -- Complex Numbers -- Quaternions -- Clifford Algebra -- Geometry -- Coordinate Systems -- Differential Geometry -- Algebraic Geometry -- Non—Euclidean Geometry -- Computer Aided Geometric Design -- The Bernstein Basis -- Numerical Stability -- Bézier Curves and Surfaces -- C2 Cubic Spline Curves -- Spline Basis Functions -- Planar Pythagorean-hodograph Curves -- Arc—length Parameterization -- Pythagorean—hodograph Curves -- Tschirnhausen's Cubic -- Complex Representation -- Rational Pythagorean-hodograph Curves -- Spatial Pythagorean-hodograph Curves -- Pythagorean Hodographs in ?3 -- Quaternion Representation -- Helical Polynomial Curves -- Minkowski Pythagorean Hodographs -- Algorithms -- Planar Hermite Interpolants -- Elastic Bending Energy -- Planar C2 PH Quintic Splines -- Spatial Hermite Interpolants -- Applications -- Real—time CNC Interpolators -- Rotation—minimizing Frames -- Closure En línea: http://dx.doi.org/10.1007/978-3-540-73398-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34334 Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable [documento electrónico] / Farouki, Rida T ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2008 . - XVI, 728 p. 204 illus : online resource. - (Geometry and Computing, ISSN 1866-6795; 1) .
ISBN : 978-3-540-73398-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer graphics Computer-aided engineering Algebra mathematics Geometry Computational intelligence Computer-Aided Engineering (CAD, CAE) and Design Numerical Analysis Imaging, Vision, Pattern Recognition Graphics Intelligence Clasificación: 51 Matemáticas Resumen: By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. Special features include an emphasis on the interplay of ideas from algebra and geometry and their historical origins, detailed algorithm descriptions, and many figures and worked examples. The book may appeal, in whole or in part, to mathematicians, computer scientists, and engineers Nota de contenido: Algebra -- Preamble -- Polynomials -- Complex Numbers -- Quaternions -- Clifford Algebra -- Geometry -- Coordinate Systems -- Differential Geometry -- Algebraic Geometry -- Non—Euclidean Geometry -- Computer Aided Geometric Design -- The Bernstein Basis -- Numerical Stability -- Bézier Curves and Surfaces -- C2 Cubic Spline Curves -- Spline Basis Functions -- Planar Pythagorean-hodograph Curves -- Arc—length Parameterization -- Pythagorean—hodograph Curves -- Tschirnhausen's Cubic -- Complex Representation -- Rational Pythagorean-hodograph Curves -- Spatial Pythagorean-hodograph Curves -- Pythagorean Hodographs in ?3 -- Quaternion Representation -- Helical Polynomial Curves -- Minkowski Pythagorean Hodographs -- Algorithms -- Planar Hermite Interpolants -- Elastic Bending Energy -- Planar C2 PH Quintic Splines -- Spatial Hermite Interpolants -- Applications -- Real—time CNC Interpolators -- Rotation—minimizing Frames -- Closure En línea: http://dx.doi.org/10.1007/978-3-540-73398-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34334 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Tutorials on Emerging Methodologies and Applications in Operations Research / SpringerLink (Online service) ; Harvey J. Greenberg (2005)
Título : Tutorials on Emerging Methodologies and Applications in Operations Research : Presented at Informs 2004, Denver, CO Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Harvey J. Greenberg Editorial: New York, NY : Springer New York Fecha de publicación: 2005 Colección: International Series in Operations Research & Management Science, ISSN 0884-8289 num. 76 Número de páginas: XVIII, 342 p Il.: online resource ISBN/ISSN/DL: 978-0-387-22827-3 Idioma : Inglés (eng) Palabras clave: Mathematics Operations research Decision making Computer science Computer-aided engineering mathematics Management Research, Science Computational and Numerical Analysis Operation Research/Decision Theory Discrete in of Computing Computer-Aided Engineering (CAD, CAE) Design Clasificación: 51 Matemáticas Resumen: Operations Research emerged as a quantitative approach to problem-solving in World War II. Its founders, who were physicists, mathematicians, and engineers, quickly found peace-time uses for this new field. Moreover, we can say that Operations Research (OR) was born in the same incubator as computer science, and through the years, it has spawned many new disciplines, including systems engineering, health care management, and transportation science. Fundamentally, Operations Research crosses discipline domains to seek solutions on a range of problems and benefits diverse disciplines from finance to bioengineering. Many disciplines routinely use OR methods. Many scientific researchers, engineers, and others will find the methodological presentations in this book useful and helpful in their problem-solving efforts. OR’s strengths are modeling, analysis, and algorithm design. It provides a quantitative foundation for a broad spectrum of problems, from economics to medicine, from environmental control to sports, from e-commerce to computational geometry. The primary purpose of TUTORIALS ON EMERGING METHODOLOGIES AND APPLICATIONS IN OPERATIONS RESEARCH is to provide a reference for practitioners and academics who seek a clear, concise presentation of developing methodologies, hence providing themselves with the capability to apply these methods to new problems. The field of Operations Research is always changing. Its changes are driven by the technology it uses and that it extends, and the applications that it affects. Relevant changes in the field have a permanent effect on the conduct of OR and are vital to anyone who wants to be current in the field. Each chapter presents a new developing methodology in Operations Research. Each chapter examines each topic with clarity and depth, and organizes the examination around the following questions: (1) What the developing methodology basically is about? (2) Why is it important? and (3) Where can I learn more? Nota de contenido: Heuristic Search for Network Design -- Polyhedral Combinatorics -- Constraint Languages for Combinatorial Optimization -- A Tutorial on Radiation Oncology and Optimization -- Parallel Algorithm Design for Branch and Bound -- Computer-Aided Design for Electrical and Computer engineering -- Nonlinear Programming and Engineering Applications -- Connecting MRP, MRP II and ERP — Supply Chain Production Planning Via Optimization Models En línea: http://dx.doi.org/10.1007/b99770 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35061 Tutorials on Emerging Methodologies and Applications in Operations Research : Presented at Informs 2004, Denver, CO [documento electrónico] / SpringerLink (Online service) ; Harvey J. Greenberg . - New York, NY : Springer New York, 2005 . - XVIII, 342 p : online resource. - (International Series in Operations Research & Management Science, ISSN 0884-8289; 76) .
ISBN : 978-0-387-22827-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Operations research Decision making Computer science Computer-aided engineering mathematics Management Research, Science Computational and Numerical Analysis Operation Research/Decision Theory Discrete in of Computing Computer-Aided Engineering (CAD, CAE) Design Clasificación: 51 Matemáticas Resumen: Operations Research emerged as a quantitative approach to problem-solving in World War II. Its founders, who were physicists, mathematicians, and engineers, quickly found peace-time uses for this new field. Moreover, we can say that Operations Research (OR) was born in the same incubator as computer science, and through the years, it has spawned many new disciplines, including systems engineering, health care management, and transportation science. Fundamentally, Operations Research crosses discipline domains to seek solutions on a range of problems and benefits diverse disciplines from finance to bioengineering. Many disciplines routinely use OR methods. Many scientific researchers, engineers, and others will find the methodological presentations in this book useful and helpful in their problem-solving efforts. OR’s strengths are modeling, analysis, and algorithm design. It provides a quantitative foundation for a broad spectrum of problems, from economics to medicine, from environmental control to sports, from e-commerce to computational geometry. The primary purpose of TUTORIALS ON EMERGING METHODOLOGIES AND APPLICATIONS IN OPERATIONS RESEARCH is to provide a reference for practitioners and academics who seek a clear, concise presentation of developing methodologies, hence providing themselves with the capability to apply these methods to new problems. The field of Operations Research is always changing. Its changes are driven by the technology it uses and that it extends, and the applications that it affects. Relevant changes in the field have a permanent effect on the conduct of OR and are vital to anyone who wants to be current in the field. Each chapter presents a new developing methodology in Operations Research. Each chapter examines each topic with clarity and depth, and organizes the examination around the following questions: (1) What the developing methodology basically is about? (2) Why is it important? and (3) Where can I learn more? Nota de contenido: Heuristic Search for Network Design -- Polyhedral Combinatorics -- Constraint Languages for Combinatorial Optimization -- A Tutorial on Radiation Oncology and Optimization -- Parallel Algorithm Design for Branch and Bound -- Computer-Aided Design for Electrical and Computer engineering -- Nonlinear Programming and Engineering Applications -- Connecting MRP, MRP II and ERP — Supply Chain Production Planning Via Optimization Models En línea: http://dx.doi.org/10.1007/b99770 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35061 Ejemplares
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Título : The Finite Element Method: Theory, Implementation, and Applications Tipo de documento: documento electrónico Autores: Larson, Mats G ; SpringerLink (Online service) ; Fredrik Bengzon Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Texts in Computational Science and Engineering, ISSN 1611-0994 num. 10 Número de páginas: XVII, 395 p Il.: online resource ISBN/ISSN/DL: 978-3-642-33287-6 Idioma : Inglés (eng) Palabras clave: Mathematics Computer-aided engineering Partial differential equations Computer mathematics Mechanics Mechanics, Applied Computational Science and Engineering Differential Equations Theoretical Computer-Aided (CAD, CAE) Design Numerical Analysis Clasificación: 51 Matemáticas Resumen: This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics. Nota de contenido: 1. Piecewise Polynomial Approximation in 1D -- 2. The Finite Element Method in 1D -- 3. Piecewise Polynomial Approximation in 2D -- 4. The Finite Element Method in 2D -- 5. Time-dependent Problems -- 6. Solving Large Sparse Linear Systems -- 7. Abstract Finite Element Analysis -- 8. The Finite Element -- 9. Non-linear Problems -- 10. Transport Problems -- 11. Solid Mechanics -- 12. Fluid Mechanics -- 13. Electromagnetics -- 14. Discontinuous Galerkin Methods -- A. Some Additional Matlab Code -- References En línea: http://dx.doi.org/10.1007/978-3-642-33287-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32532 The Finite Element Method: Theory, Implementation, and Applications [documento electrónico] / Larson, Mats G ; SpringerLink (Online service) ; Fredrik Bengzon . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013 . - XVII, 395 p : online resource. - (Texts in Computational Science and Engineering, ISSN 1611-0994; 10) .
ISBN : 978-3-642-33287-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer-aided engineering Partial differential equations Computer mathematics Mechanics Mechanics, Applied Computational Science and Engineering Differential Equations Theoretical Computer-Aided (CAD, CAE) Design Numerical Analysis Clasificación: 51 Matemáticas Resumen: This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics. Nota de contenido: 1. Piecewise Polynomial Approximation in 1D -- 2. The Finite Element Method in 1D -- 3. Piecewise Polynomial Approximation in 2D -- 4. The Finite Element Method in 2D -- 5. Time-dependent Problems -- 6. Solving Large Sparse Linear Systems -- 7. Abstract Finite Element Analysis -- 8. The Finite Element -- 9. Non-linear Problems -- 10. Transport Problems -- 11. Solid Mechanics -- 12. Fluid Mechanics -- 13. Electromagnetics -- 14. Discontinuous Galerkin Methods -- A. Some Additional Matlab Code -- References En línea: http://dx.doi.org/10.1007/978-3-642-33287-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32532 Ejemplares
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Título : Analysis and Design of Univariate Subdivision Schemes Tipo de documento: documento electrónico Autores: Sabin, Malcolm ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2010 Colección: Geometry and Computing, ISSN 1866-6795 num. 6 Número de páginas: XIV, 218 p. 68 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-13648-1 Idioma : Inglés (eng) Palabras clave: Mathematics Computer simulation graphics Computer-aided engineering Visualization Geometry Discrete mathematics Simulation and Modeling Computer-Aided Engineering (CAD, CAE) Design Graphics Clasificación: 51 Matemáticas Resumen: This book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. The book reports on the currently known ways of analysing a subdivision scheme (i.e. measuring criteria which might be important for the application of a scheme to a given context). It then goes on to consider how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application. The book is presented in an accessible fashion, even for those whose mathematics is a tool to be used, not a way of life. It should provide the reader with a full and deep understanding of the state-of-the-art in subdivision analysis, and separate sections on mathematical techniques provide revision for those needing it. The book will be of great interest to those starting to do research in CAD/CAE. It will also appeal to those lecturing in this subject and industrial workers implementing these methods. The author has spent his professional life on the numerical representation of shape and his book fills a need for a book covering the fundamental ideas in the simplest possible context, that of curves Nota de contenido: Prependices -- Functions and Curves -- Differences -- B-Splines -- Eigenfactorisation -- Enclosures -- Hölder Continuity -- Matrix Norms -- Joint Spectral Radius -- Radix Notation -- z-transforms -- Dramatis Personae -- An introduction to some regularly-appearing characters -- Analyses -- Support -- Enclosure -- Continuity 1 - at Support Ends -- Continuity 2 - Eigenanalysis -- Continuity 3 - Difference Schemes -- Continuity 4 - Difference Eigenanalysis -- Continuity 5 - the Joint Spectral Radius -- What Converges ? -- Reproduction of Polynomials -- Artifacts -- Normalisation of Schemes -- Summary of Analysis Results -- Design -- The Design Space -- Linear Subspaces of the Design Space -- Non-linear Conditions -- Non-Stationary Schemes -- Geometry Sensitive Schemes -- Implementation -- Making Polygons -- Rendering -- Interrogation -- End Conditions -- Modifying the Original Polygon -- Appendices -- Proofs -- Historical Notes -- Solutions to Exercises -- Coda En línea: http://dx.doi.org/10.1007/978-3-642-13648-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33762 Analysis and Design of Univariate Subdivision Schemes [documento electrónico] / Sabin, Malcolm ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2010 . - XIV, 218 p. 68 illus : online resource. - (Geometry and Computing, ISSN 1866-6795; 6) .
ISBN : 978-3-642-13648-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer simulation graphics Computer-aided engineering Visualization Geometry Discrete mathematics Simulation and Modeling Computer-Aided Engineering (CAD, CAE) Design Graphics Clasificación: 51 Matemáticas Resumen: This book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. The book reports on the currently known ways of analysing a subdivision scheme (i.e. measuring criteria which might be important for the application of a scheme to a given context). It then goes on to consider how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application. The book is presented in an accessible fashion, even for those whose mathematics is a tool to be used, not a way of life. It should provide the reader with a full and deep understanding of the state-of-the-art in subdivision analysis, and separate sections on mathematical techniques provide revision for those needing it. The book will be of great interest to those starting to do research in CAD/CAE. It will also appeal to those lecturing in this subject and industrial workers implementing these methods. The author has spent his professional life on the numerical representation of shape and his book fills a need for a book covering the fundamental ideas in the simplest possible context, that of curves Nota de contenido: Prependices -- Functions and Curves -- Differences -- B-Splines -- Eigenfactorisation -- Enclosures -- Hölder Continuity -- Matrix Norms -- Joint Spectral Radius -- Radix Notation -- z-transforms -- Dramatis Personae -- An introduction to some regularly-appearing characters -- Analyses -- Support -- Enclosure -- Continuity 1 - at Support Ends -- Continuity 2 - Eigenanalysis -- Continuity 3 - Difference Schemes -- Continuity 4 - Difference Eigenanalysis -- Continuity 5 - the Joint Spectral Radius -- What Converges ? -- Reproduction of Polynomials -- Artifacts -- Normalisation of Schemes -- Summary of Analysis Results -- Design -- The Design Space -- Linear Subspaces of the Design Space -- Non-linear Conditions -- Non-Stationary Schemes -- Geometry Sensitive Schemes -- Implementation -- Making Polygons -- Rendering -- Interrogation -- End Conditions -- Modifying the Original Polygon -- Appendices -- Proofs -- Historical Notes -- Solutions to Exercises -- Coda En línea: http://dx.doi.org/10.1007/978-3-642-13648-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33762 Ejemplares
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Título : Analytical Methods in Anisotropic Elasticity : with Symbolic Computational Tools Tipo de documento: documento electrónico Autores: Rand, Omri ; SpringerLink (Online service) ; Rovenski, Vladimir Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2005 Número de páginas: XVIII, 451 p. 167 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4420-8 Idioma : Inglés (eng) Palabras clave: Mathematics Computer-aided engineering Applied mathematics Engineering Computer Physics Continuum mechanics Applications of Mechanics and Materials Appl.Mathematics/Computational Methods Computational Numerical Analysis Computer-Aided (CAD, CAE) Design Mathematical in Clasificación: 51 Matemáticas Resumen: This comprehensive textbook/reference focuses on the mathematical techniques and solution methodologies required to establish the foundations of anisotropic elasticity and provides the theoretical background for composite material analysis. Specific attention is devoted to the potential of modern symbolic computational tools to support highly complex analytical solutions and their contribution to the rigor, analytical uniformity and exactness of the derivation. Key features: * Refreshes and modernizes classical mathematical methods encountered in the theory of anisotropic elasticity * Reviews basic and advanced steps of general analytical solutions, including the initial assumptions and selection of an adequate analytical course * Demonstrates the potential of symbolic computational tools to support the development of analytical solutions and to verify their exactness * Examines the physical interpretation of exact and approximate mathematical solutions and provides important insight into the involved phenomena * Provides state-of-the-art solutions for a wide range of cases, including non-homogeneous and thin-walled configurations Analytical Methods in Anisotropic Elasticity will appeal to a broad audience involved in mathematical modeling, all of whom must have good mathematical skills: graduate students and professors in courses on elasticity and solid-mechanics labs/seminars, applied mathematicians and numerical analysts, scientists and researchers. Engineers involved in aeronautical and space, maritime and mechanical design of composite material structures will find this an excellent hands-on reference text as well. All will benefit from the classical and advanced solutions that are derived and presented using symbolic computational techniques Nota de contenido: Fundamentals of Anisotropic Elasticity and Analytical Methodologies -- Anisotropic Materials -- Plane Deformation Analysis -- Solution Methodologies -- Foundations of Anisotropic Beam Analysis -- Beams of General Anisotropy -- Homogeneous, Uncoupled Monoclinic Beams -- Non-Homogeneous Plane and Beam Analysis -- Solid Coupled Monoclinic Beams -- Thin-Walled Coupled Monoclinic Beams -- Program Descriptions En línea: http://dx.doi.org/10.1007/b138765 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35178 Analytical Methods in Anisotropic Elasticity : with Symbolic Computational Tools [documento electrónico] / Rand, Omri ; SpringerLink (Online service) ; Rovenski, Vladimir . - Boston, MA : Birkhäuser Boston, 2005 . - XVIII, 451 p. 167 illus : online resource.
ISBN : 978-0-8176-4420-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer-aided engineering Applied mathematics Engineering Computer Physics Continuum mechanics Applications of Mechanics and Materials Appl.Mathematics/Computational Methods Computational Numerical Analysis Computer-Aided (CAD, CAE) Design Mathematical in Clasificación: 51 Matemáticas Resumen: This comprehensive textbook/reference focuses on the mathematical techniques and solution methodologies required to establish the foundations of anisotropic elasticity and provides the theoretical background for composite material analysis. Specific attention is devoted to the potential of modern symbolic computational tools to support highly complex analytical solutions and their contribution to the rigor, analytical uniformity and exactness of the derivation. Key features: * Refreshes and modernizes classical mathematical methods encountered in the theory of anisotropic elasticity * Reviews basic and advanced steps of general analytical solutions, including the initial assumptions and selection of an adequate analytical course * Demonstrates the potential of symbolic computational tools to support the development of analytical solutions and to verify their exactness * Examines the physical interpretation of exact and approximate mathematical solutions and provides important insight into the involved phenomena * Provides state-of-the-art solutions for a wide range of cases, including non-homogeneous and thin-walled configurations Analytical Methods in Anisotropic Elasticity will appeal to a broad audience involved in mathematical modeling, all of whom must have good mathematical skills: graduate students and professors in courses on elasticity and solid-mechanics labs/seminars, applied mathematicians and numerical analysts, scientists and researchers. Engineers involved in aeronautical and space, maritime and mechanical design of composite material structures will find this an excellent hands-on reference text as well. All will benefit from the classical and advanced solutions that are derived and presented using symbolic computational techniques Nota de contenido: Fundamentals of Anisotropic Elasticity and Analytical Methodologies -- Anisotropic Materials -- Plane Deformation Analysis -- Solution Methodologies -- Foundations of Anisotropic Beam Analysis -- Beams of General Anisotropy -- Homogeneous, Uncoupled Monoclinic Beams -- Non-Homogeneous Plane and Beam Analysis -- Solid Coupled Monoclinic Beams -- Thin-Walled Coupled Monoclinic Beams -- Program Descriptions En línea: http://dx.doi.org/10.1007/b138765 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35178 Ejemplares
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