Finite Elements Using Maxima
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Finite Elements Using Maxima
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Author : Andreas Öchsner
language : en
Publisher: Springer
Release Date : 2019-05-21
Finite Elements Using Maxima written by Andreas Öchsner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-21 with Science categories.
This book provides a study aid on the finite element method. Based on the free computer algebra system “Maxima”, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical “hand calculations” but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures. The book is based on the Springer Brief “Finite Elements for Truss and Frame Structures” (978-3-319-94940-6) by the same authors.
Plane Finite Elements For Two Dimensional Problems
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Author : Andreas Öchsner
language : en
Publisher: Springer Nature
Release Date : 2022-01-01
Plane Finite Elements For Two Dimensional Problems written by Andreas Öchsner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Technology & Engineering categories.
This book is intended as a study aid for the finite element method. Based on the free computer algebra system Maxima, we offer routines to symbolically or numerically solve problems from the context of two-dimensional problems. For this rather advanced topic, classical ‘hand calculations’ are difficult to perform and the incorporation of a computer algebra system is a convenient approach to handle, for example, larger matrix operations. The mechanical theories focus on the classical two-dimensional structural elements, i.e., plane elements, thin or classical plates, and thick or shear deformable plate elements. The use of a computer algebra system and the incorporated functions, e.g., for matrix operations, allows to focus more on the methodology of the finite element method and not on standard procedures. Furthermore, we offer a graphical user interface (GUI) to facilitate the model definition. Thus, the user may enter the required definitions in a source code manner directly in wxMaxima or use the GUI which is able to execute wxMaxime to perform the calculations.
The Finite Element Method Theory Implementation And Applications
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Author : Mats G. Larson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-13
The Finite Element Method Theory Implementation And Applications written by Mats G. Larson 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 2013-01-13 with Computers categories.
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.
Computational Statics And Dynamics
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Author : Andreas Öchsner
language : en
Publisher: Springer Nature
Release Date : 2023-02-08
Computational Statics And Dynamics written by Andreas Öchsner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-08 with Mathematics categories.
This book is the 3rd edition of an introduction to modern computational mechanics based on the finite element method. This third edition is largely extended, adding many new examples to let the reader understand the principles better by performing calculations by hand, as well as numerical example to practice the finite element approach to engineering problems. The new edition comes together with a set of digital flash cards with questions and answers that improve learning success. Featuring over 100 more pages, the new edition will help students succeed in mechanics courses by showing them how to apply the fundamental knowledge they gained in the first years of their engineering education to more advanced topics. In order to deepen readers’ understanding of the equations and theories discussed, each chapter also includes supplementary problems. These problems start with fundamental knowledge questions on the theory presented in the respective chapter, followed by calculation problems. In total, over 80 such calculation problems are provided, along with brief solutions for each. Test your knowledge with questions and answers about the book in the Springer Nature Flashcards app.
Numerical Engineering Optimization
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Author : Andreas Öchsner
language : en
Publisher: Springer Nature
Release Date : 2020-04-08
Numerical Engineering Optimization written by Andreas Öchsner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-08 with Science categories.
This study aid on numerical optimization techniques is intended for university undergraduate and postgraduate mechanical engineering students. Optimization procedures are becoming more and more important for lightweight design, where weight reduction can, for example in the case of automotive or aerospace industry, lead to lower fuel consumption and a corresponding reduction in operational costs as well as beneficial effects on the environment. Based on the free computer algebra system Maxima, the authors present procedures for numerically solving problems in engineering mathematics as well as applications taken from traditional courses on the strength of materials. The mechanical theories focus on the typical one-dimensional structural elements, i.e., springs, bars, and Euler–Bernoulli beams, in order to reduce the complexity of the numerical framework and limit the resulting design to a low number of variables. The use of a computer algebra system and the incorporated functions, e.g., for derivatives or equation solving, allows a greater focus on the methodology of the optimization methods and not on standard procedures. The book also provides numerous examples, including some that can be solved using a graphical approach to help readers gain a better understanding of the computer implementation.
A Project Based Introduction To Computational Statics
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Author : Andreas Öchsner
language : en
Publisher: Springer Nature
Release Date : 2020-11-13
A Project Based Introduction To Computational Statics written by Andreas Öchsner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-13 with Science categories.
This book uses a novel concept to teach the finite element method, applying it to solid mechanics. This major conceptual shift takes away lengthy theoretical derivations in the face-to-face interactions with students and focuses on the summary of key equations and concepts; and to practice these on well-chosen example problems. For this new, 2nd edition, many examples and design modifications have been added, so that the learning-by-doing features of this book make it easier to understand the concepts and put them into practice. The theoretical derivations are provided as additional reading and students must study and review the derivations in a self-study approach. The book provides the theoretical foundations to solve a comprehensive design project in tensile testing. A classical clip-on extensometer serves as the demonstrator on which to apply the provided concepts. The major goal is to derive the calibration curve based on different approaches, i.e., analytical mechanics and based on the finite element method, and to consider further design questions such as technical drawings, manufacturing, and cost assessment. Working with two concepts, i.e., analytical and computational mechanics strengthens the vertical integration of knowledge and allows the student to compare and understand the different concepts, as well as highlighting the essential need for benchmarking any numerical result.
Synthesis Properties And Crystal Chemistry Of Perovskite Based Materials
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Author : Winnie Wong-Ng
language : en
Publisher: John Wiley & Sons
Release Date : 2012-04-11
Synthesis Properties And Crystal Chemistry Of Perovskite Based Materials written by Winnie Wong-Ng 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 2012-04-11 with Technology & Engineering categories.
The number of ceramic materials with a perovskite type structure islarge and of considerable technological importance due to theirrich crystal chemistry and structure-property relationships.Applications include multilayer capacitators, piezoelectrictransducers, PTC thermistors, electrooptical modulators, opticalswitches, dielectric resonators, thick film resistors, electronicsensors, electrorestrictive actuators, magnetic bubble memorydevices, laser host materials, ferromagnetic materials, refractoryelectrodes, second harmonic generators, batteries, ceramicelectrodes, thermoelectric devices, and high temperaturesuperconductors. This volume contains papers on the research and development of newperovskite materials for various applications including doping ofexisting perovskite materials as well as processing for improvedproperties.
Reliability Improvement With Design Of Experiment
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Author : Lloyd Condra
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Reliability Improvement With Design Of Experiment written by Lloyd Condra and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Technology & Engineering categories.
A guide to implementing and operating a practical reliability program using carefully designed experiments to provide information quickly, efficiently and cost effectively. It emphasizes real world solutions to daily problems. The second edition contains a special expanded section demonstrating how to combine accelerated testing with design of experiments for immediate improvement.
Physical Theory In Biology Foundations And Explorations
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Author : Charles J Lumsden
language : en
Publisher: World Scientific
Release Date : 1997-04-19
Physical Theory In Biology Foundations And Explorations written by Charles J Lumsden and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-19 with Science categories.
What is the physics of life and why does it matter? The essays in this book probe this question, celebrating modern biology's vibrant dialog with theoretical physics — a scientific adventure in which biological understanding is enriched by physical theory without losing its own inherent traditions and perspectives. The book explores organic complexity and self-organization through research applications to embryology, cell biology, behavioral neuroscience, and evolution. The essays will excite the interest of physics students in thinking about biology's “grand challenges”, in part by means of self-contained introductions to theoretical computer science, symmetry methods in bifurcation theory, and evolutionary games. Seasoned investigators in both the physical and life sciences will also find challenging ideas and applications presented in this volume.This is a Print On Demand title. We no longer stock the original but will recreate a copy for you. While all efforts are made to ensure that quality is the same as the original, there may be differences in some areas of the design and packaging.
Simulation Of Fluid Power Systems With Simcenter Amesim
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Author : Nicolae Vasiliu
language : en
Publisher: CRC Press
Release Date : 2018-04-09
Simulation Of Fluid Power Systems With Simcenter Amesim written by Nicolae Vasiliu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-09 with Science categories.
This book illustrates numerical simulation of fluid power systems by LMS Amesim Platform covering hydrostatic transmissions, electro hydraulic servo valves, hydraulic servomechanisms for aerospace engineering, speed governors for power machines, fuel injection systems, and automotive servo systems It includes hydrostatic transmissions, automotive fuel injection, hydropower speed units governor, aerospace servo systems along with case studies of specified companies Aids in predicting and optimizing the static and dynamic performances related to the systems under study