Variational Methods For Engineers With Matlab
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| Author | : Eduardo Souza de Cursi |
| Publisher | : John Wiley & Sons |
| Total Pages | : 433 |
| Release | : 2015-10-02 |
| Genre | : Mathematics |
| ISBN | : 1119230144 |
This book is issued from a 30 years’ experience on the presentation of variational methods to successive generations of students and researchers in Engineering. It gives a comprehensive, pedagogical and engineer-oriented presentation of the foundations of variational methods and of their use in numerical problems of Engineering. Particular applications to linear and nonlinear systems of equations, differential equations, optimization and control are presented. MATLAB programs illustrate the implementation and make the book suitable as a textbook and for self-study. The evolution of knowledge, of the engineering studies and of the society in general has led to a change of focus from students and researchers. New generations of students and researchers do not have the same relations to mathematics as the previous ones. In the particular case of variational methods, the presentations used in the past are not adapted to the previous knowledge, the language and the centers of interest of the new generations. Since these methods remain a core knowledge – thus essential - in many fields (Physics, Engineering, Applied Mathematics, Economics, Image analysis ...), a new presentation is necessary in order to address variational methods to the actual context.
| Author | : Eduardo Souza de Cursi |
| Publisher | : John Wiley & Sons |
| Total Pages | : 430 |
| Release | : 2015-10-19 |
| Genre | : Mathematics |
| ISBN | : 1848219148 |
This book is issued from a 30 years’ experience on the presentation of variational methods to successive generations of students and researchers in Engineering. It gives a comprehensive, pedagogical and engineer-oriented presentation of the foundations of variational methods and of their use in numerical problems of Engineering. Particular applications to linear and nonlinear systems of equations, differential equations, optimization and control are presented. MATLAB programs illustrate the implementation and make the book suitable as a textbook and for self-study. The evolution of knowledge, of the engineering studies and of the society in general has led to a change of focus from students and researchers. New generations of students and researchers do not have the same relations to mathematics as the previous ones. In the particular case of variational methods, the presentations used in the past are not adapted to the previous knowledge, the language and the centers of interest of the new generations. Since these methods remain a core knowledge – thus essential - in many fields (Physics, Engineering, Applied Mathematics, Economics, Image analysis ...), a new presentation is necessary in order to address variational methods to the actual context.
| Author | : Oluleke Oluwole |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 126 |
| Release | : 2011-07-23 |
| Genre | : Technology & Engineering |
| ISBN | : 0857296612 |
The finite element method is often used for numerical computation in the applied sciences. It makes a major contribution to the range of numerical methods used in the simulation of systems and irregular domains, and its importance today has made it an important subject of study for all engineering students. While treatments of the method itself can be found in many traditional finite element books, Finite Element Modeling for Materials Engineers Using MATLAB® combines the finite element method with MATLAB to offer materials engineers a fast and code-free way of modeling for many materials processes. Finite Element Modeling for Materials Engineers Using MATLAB® covers such topics as: developing a weak formulation as a prelude to obtaining the finite element equation, interpolation functions, derivation of elemental equations, and use of the Partial Differential Equation ToolboxTM. Exercises are given based on each example and m-files based on the examples are freely available to readers online. Researchers, advanced undergraduate and postgraduate students, and practitioners in the fields of materials and metallurgy will find Finite Element Modeling for Materials Engineers Using MATLAB® a useful guide to using MATLAB for engineering analysis and decision-making.
| Author | : Constantin Udriste |
| Publisher | : John Wiley & Sons |
| Total Pages | : 228 |
| Release | : 2023-02-13 |
| Genre | : Mathematics |
| ISBN | : 1119944368 |
A comprehensive overview of foundational variational methods for problems in engineering Variational calculus is a field in which small alterations in functions and functionals are used to find their relevant maxima and minima. It is a potent tool for addressing a range of dynamic problems with otherwise counter-intuitive solutions, particularly ones incorporating multiple confounding variables. Its value in engineering fields, where materials and geometric configurations can produce highly specific problems with unconventional or unintuitive solutions, is considerable. Variational Calculus with Engineering Applications provides a comprehensive survey of this toolkit and its engineering applications. Balancing theory and practice, it offers a thorough and accessible introduction to the field pioneered by Euler, Lagrange and Hamilton, offering tools that can be every bit as powerful as the better-known Newtonian mechanics. It is an indispensable resource for those looking for engineering-oriented overview of a subject whose capacity to provide engineering solutions is only increasing. Variational Calculus with Engineering Applications readers will also find: Discussion of subjects including variational principles, levitation, geometric dynamics, and more Examples and instructional problems in every Chapter, along with MAPLE codes for performing the simulations described in each Engineering applications based on simple, curvilinear, and multiple integral functionals Variational Calculus with Engineering Applications is ideal for advanced students, researchers, and instructors in engineering and materials science.
| Author | : Young W. Kwon |
| Publisher | : CRC Press |
| Total Pages | : 626 |
| Release | : 2018-10-03 |
| Genre | : Technology & Engineering |
| ISBN | : 9781420041880 |
Expanded to include a broader range of problems than the bestselling first edition, Finite Element Method Using MATLAB: Second Edition presents finite element approximation concepts, formulation, and programming in a format that effectively streamlines the learning process. It is written from a general engineering and mathematical perspective rather than that of a solid/structural mechanics basis. What's new in the Second Edition? Each chapter in the Second Edition now includes an overview that outlines the contents and purpose of each chapter. The authors have also added a new chapter of special topics in applications, including cracks, semi-infinite and infinite domains, buckling, and thermal stress. They discuss three different linearization techniques to solve nonlinear differential equations. Also included are new sections on shell formulations and MATLAB programs. These enhancements increase the book's already significant value both as a self-study text and a reference for practicing engineers and scientists.
| Author | : Luminita A. Vese |
| Publisher | : CRC Press |
| Total Pages | : 416 |
| Release | : 2015-11-18 |
| Genre | : Computers |
| ISBN | : 1439849749 |
Variational Methods in Image Processing presents the principles, techniques, and applications of variational image processing. The text focuses on variational models, their corresponding Euler-Lagrange equations, and numerical implementations for image processing. It balances traditional computational models with more modern techniques that solve t
| Author | : Orestes Llanes Santiago |
| Publisher | : Springer Nature |
| Total Pages | : 301 |
| Release | : 2020-02-14 |
| Genre | : Technology & Engineering |
| ISBN | : 3030344096 |
This book explores applications of computational intelligence in key and emerging fields of engineering, especially with regard to condition monitoring and fault diagnosis, inverse problems, decision support systems and optimization. These applications can be beneficial in a broad range of contexts, including: water distribution networks, manufacturing systems, production and storage of electrical energy, heat transfer, acoustic levitation, uncertainty and robustness of infinite-dimensional objects, fatigue failure prediction, autonomous navigation, nanotechnology, and the analysis of technological development indexes. All applications, mathematical and computational tools, and original results are presented using rigorous mathematical procedures. Further, the book gathers contributions by respected experts from 22 different research centers and eight countries: Brazil, Cuba, France, Hungary, India, Japan, Romania and Spain. The book is intended for use in graduate courses on applied computation, applied mathematics, and engineering, where tools like computational intelligence and numerical methods are applied to the solution of real-world problems in emerging areas of engineering.
| Author | : Pradip Majumdar |
| Publisher | : Taylor & Francis |
| Total Pages | : 738 |
| Release | : 2005-09-28 |
| Genre | : Science |
| ISBN | : 143989440X |
The advent of high-speed computers has encouraged a growing demand for newly graduated engineers to possess the basic skills of computational methods for heat and mass transfer and fluid dynamics. Computational fluid dynamics and heat transfer, as well as finite element codes, are standard tools in the computer-aided design and analysis of processes.
| Author | : Pradip Majumdar |
| Publisher | : CRC Press |
| Total Pages | : 696 |
| Release | : 2021-12-29 |
| Genre | : Science |
| ISBN | : 1498703755 |
This book provides a thorough understanding of fluid dynamics and heat and mass transfer. The Second Edition contains new chapters on mesh generation and computational modeling of turbulent flow. Combining theory and practice in classic problems and computer code, the text includes numerous worked-out examples. Students will be able to develop computational analysis models for complex problems more efficiently using commercial codes such as ANSYS, STAR CCM+, and COMSOL. With detailed explanations on how to implement computational methodology into computer code, students will be able to solve complex problems on their own and develop their own customized simulation models, including problems in heat transfer, mass transfer, and fluid flows. These problems are solved and illustrated in step-by-step derivations and figures. FEATURES Provides unified coverage of computational heat transfer and fluid dynamics Covers basic concepts and then applies computational methods for problem analysis and solution Covers most common higher-order time-approximation schemes Covers most common and advanced linear solvers Contains new chapters on mesh generation and computer modeling of turbulent flow Computational Fluid Dynamics and Heat Transfer, Second Edition, is valuable to engineering instructors and students taking courses in computational heat transfer and computational fluid dynamics.
| Author | : Weihong Zhang |
| Publisher | : John Wiley & Sons |
| Total Pages | : 272 |
| Release | : 2016-06-15 |
| Genre | : Mathematics |
| ISBN | : 1119262909 |
Reliable scheduling in cutting conditions is very important in machining processes, and this requires thorough understanding of the physical behaviors of the machining process, which cannot be achieved without understanding the underlying mechanism of the processes. The book describes the mechanics and dynamics together with the clamping principles in milling processes, and can be used as a guideline for graduate students and research engineers who wish to be effective manufacture engineers and researchers. Many books have focused on common principles, which are suitable for general machining processes, e.g., milling, turning and drilling, etc. This book specifically aims at exploring the mechanics and dynamics of milling processes. Original theoretical derivations and new observations on static cutting force models, dynamic stability models and clamping principles associated with milling processes are classified and detailed. The book is indented as a text for graduate students and machining engineers who wish to intensively learn milling mechanism and machine tool vibration.
