Overview
- 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
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Table of contents (6 chapters)
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Front Matter
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Part I
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Front Matter
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Part II
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Front Matter
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Part III
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Front Matter
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Back Matter
Keywords
About this book
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 methodto study the stability of parametric differential equations that generates much better approximate solutions.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Approximation Methods in Science and Engineering
Authors: Reza N. Jazar
DOI: https://doi.org/10.1007/978-1-0716-0480-9
Publisher: Springer New York, NY
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2020
Hardcover ISBN: 978-1-0716-0478-6Published: 14 March 2020
eBook ISBN: 978-1-0716-0480-9Published: 13 March 2020
Edition Number: 1
Number of Pages: XVI, 537
Number of Illustrations: 7 b/w illustrations, 108 illustrations in colour
Topics: Control, Robotics, Mechatronics, Vibration, Dynamical Systems, Control, Systems Theory, Control, Mathematical Methods in Physics