Approximate Solution Methods In Engineering Mechanics
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| Author | : Arthur P. Boresi |
| Publisher | : John Wiley & Sons |
| Total Pages | : 284 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9780471402428 |
The only complete collection of prevalent approximation methods Unlike any other resource, Approximate Solution Methods in Engineering Mechanics, Second Edition offers in-depth coverage of the most common approximate numerical methods used in the solution of physical problems, including those used in popular computer modeling packages. Descriptions of each approximation method are presented with the latest relevant research and developments, providing thorough, working knowledge of the methods and their principles. Approximation methods covered include: * Boundary element method (BEM) * Weighted residuals method * Finite difference method (FDM) * Finite element method (FEM) * Finite strip/layer/prism methods * Meshless method Approximate Solution Methods in Engineering Mechanics, Second Edition is a valuable reference guide for mechanical, aerospace, and civil engineers, as well as students in these disciplines.
| Author | : Boresi |
| Publisher | : |
| Total Pages | : |
| Release | : 2003-03-01 |
| Genre | : |
| ISBN | : 9780471275510 |
| Author | : Arthur P. Boresi |
| Publisher | : John Wiley & Sons |
| Total Pages | : 531 |
| Release | : 2010-12-01 |
| Genre | : Science |
| ISBN | : 0470880384 |
Elasticity in Engineering Mechanics has been prized by many aspiring and practicing engineers as an easy-to-navigate guide to an area of engineering science that is fundamental to aeronautical, civil, and mechanical engineering, and to other branches of engineering. With its focus not only on elasticity theory, including nano- and biomechanics, but also on concrete applications in real engineering situations, this acclaimed work is a core text in a spectrum of courses at both the undergraduate and graduate levels, and a superior reference for engineering professionals.
| Author | : Louis Komzsik |
| Publisher | : CRC Press |
| Total Pages | : 387 |
| Release | : 2017-04-14 |
| Genre | : Mathematics |
| ISBN | : 1351792725 |
This second edition includes eleven new sections based on the approximation of matrix functions, deflating the solution space and improving the accuracy of approximate solutions, iterative solution of initial value problems of systems of ordinary differential equations, and the method of trial functions for boundary value problems. The topics of th
| Author | : Ken P. Chong |
| Publisher | : CRC Press |
| Total Pages | : 318 |
| Release | : 2017-11-27 |
| Genre | : Technology & Engineering |
| ISBN | : 1351380990 |
In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems. However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends and new developments in simulation and computation Weighted residuals methods Finite difference methods Finite element methods Finite strip/layer/prism methods Boundary element methods Meshless methods Molecular dynamics Multiphysics problems Multiscale methods
| Author | : Reza N. Jazar |
| Publisher | : |
| Total Pages | : |
| Release | : 2020 |
| Genre | : Approximation theory |
| ISBN | : 9781071604793 |
Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energy-rate method to study the stability of parametric differential equations that generates much better approximate solutions. Covers practical model-prototype analysis and nondimensionalization of differential equations; Coverage includes approximate methods of responses of nonlinear differential equations; Discusses how to apply approximation methods to analysis, design, optimization, and control problems; Discusses how to implement approximation methods to new aspects of engineering and physics including nonlinear vibration and vehicle dynamics
| Author | : Antonio Bobet |
| Publisher | : CRC Press |
| Total Pages | : 626 |
| Release | : 2023-09-12 |
| Genre | : Technology & Engineering |
| ISBN | : 1000857824 |
Tunnel Design Methods covers analytical, numerical, and empirical methods for the design of tunnels in soil and in rock. The material is intended for design engineers looking for detailed methods, for graduate students who are interested in tunnelling, and for researchers working on various aspects of ground-support interaction under static and seismic loading. The book is divided into seven chapters, covering fundamental concepts on ground and support behavior and on ground-excavation-support interaction and provides detailed information on analytical and numerical methods used for the design of tunnels, with applications, and on the latest developments on empirical methods. The principles and formulations included are used, throughout the book, to provide insight into the response of tunnels under both simple and complex loading conditions, thus providing the reader with fundamental understanding of tunnel behavior. Both authors have experience in tunnelling and have worked extensively in practice, designing tunnels both in the United States and abroad, and in research.
| Author | : Jamshid Ghaboussi |
| Publisher | : CRC Press |
| Total Pages | : 332 |
| Release | : 2016-11-25 |
| Genre | : Mathematics |
| ISBN | : 1498746780 |
This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering solution of systems of equations, symmetric eigenvalue solution methods, and direct integration of discrete dynamic equations of motion, illustrated with numerical examples. This book suits a graduate course in mechanics based disciplines, and will help software developers in computational mechanics. Increased understanding of the underlying numerical methods will also help practicing engineers to use the computational mechanics software more effectively.
| Author | : M. W. Yuan |
| Publisher | : 清华大学出版社有限公司 |
| Total Pages | : 902 |
| Release | : 2004 |
| Genre | : Computer-aided design |
| ISBN | : 9787302093435 |
| Author | : Bouchaib Radi |
| Publisher | : John Wiley & Sons |
| Total Pages | : 226 |
| Release | : 2018-03-15 |
| Genre | : Mathematics |
| ISBN | : 1119516552 |
Most physical problems can be written in the form of mathematical equations (differential, integral, etc.). Mathematicians have always sought to find analytical solutions to the equations encountered in the different sciences of the engineer (mechanics, physics, biology, etc.). These equations are sometimes complicated and much effort is required to simplify them. In the middle of the 20th century, the arrival of the first computers gave birth to new methods of resolution that will be described by numerical methods. They allow solving numerically as precisely as possible the equations encountered (resulting from the modeling of course) and to approach the solution of the problems posed. The approximate solution is usually computed on a computer by means of a suitable algorithm. The objective of this book is to introduce and study the basic numerical methods and those advanced to be able to do scientific computation. The latter refers to the implementation of approaches adapted to the treatment of a scientific problem arising from physics (meteorology, pollution, etc.) or engineering (structural mechanics, fluid mechanics, signal processing, etc.) .
