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Numerical Engineering Optimization

Application of the Computer Algebra System Maxima

  • Textbook
  • © 2020

Overview

Authors:
  1. Andreas Öchsner

    1. Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen am Neckar, Germany

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  2. Resam Makvandi

    1. Institute of Mechanics, Otto von Guericke University Magdeburg, Magdeburg, Germany

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    You can also search for this author in PubMed   Google Scholar

  • Presents numerical optimization techniques using computer algebra
  • Provides procedures for numerically solving problems in engineering mathematics
  • Includes numerous examples and graphical approaches to solve the problems

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-viii
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  2. Introduction

    • Andreas Öchsner, Resam Makvandi
    Pages 1-14

  3. Unconstrained Functions of One Variable

    • Andreas Öchsner, Resam Makvandi
    Pages 15-45

  4. Constrained Functions of One Variable

    • Andreas Öchsner, Resam Makvandi
    Pages 47-84

  5. Unconstrained Functions of Several Variables

    • Andreas Öchsner, Resam Makvandi
    Pages 85-108

  6. Constrained Functions of Several Variables

    • Andreas Öchsner, Resam Makvandi
    Pages 109-126

  7. Answers to Supplementary Problems

    • Andreas Öchsner, Resam Makvandi
    Pages 127-191

  8. Maxima Source Codes

    • Andreas Öchsner, Resam Makvandi
    Pages 193-225

  9. Back Matter

    Pages 227-228
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Keywords

About this book

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.

Authors and Affiliations

  • Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen am Neckar, Germany

    Andreas Öchsner

  • Institute of Mechanics, Otto von Guericke University Magdeburg, Magdeburg, Germany

    Resam Makvandi

About the authors

Andreas Öchsner is a Full Professor of Lightweight Design and Structural Simulation at Esslingen University of Applied Sciences, Germany. After completing his Dipl.-Ing. degree in Aeronautical Engineering at the University of Stuttgart (1997), he served as a research and teaching assistant at the University of Erlangen-Nuremberg from 1997 to 2003 while pursuing his Doctor of Engineering Sciences (Dr.-Ing.) degree. From 2003 to 2006, he was an Assistant Professor at the Department of Mechanical Engineering and Head of the Cellular Metals Group affiliated with the University of Aveiro, Portugal. He spent seven years (2007–2013) as a Full Professor at the Department of Applied Mechanics, Technical University of Malaysia, where he was also Head of the Advanced Materials and Structure Lab. From 2014 to 2017, he was a Full Professor at the School of Engineering, Griffith University, Australia, and Leader of the Mechanical Engineering Program (Head of Discipline and Program Director).

Resam Makvandi is a Ph.D. candidate and research fellow at the Institute of Mechanics, Otto von Guericke University of Magdeburg, Germany. He completed his B.Sc. degree at the Islamic Azad University, Ahvaz Branch, Iran (2010), and his M.Eng. degree at the University of Technology, Malaysia (2013), both in Mechanical Engineering.

Bibliographic Information

  • Book Title: Numerical Engineering Optimization

  • Book Subtitle: Application of the Computer Algebra System Maxima

  • Authors: Andreas Öchsner, Resam Makvandi

  • DOI: https://doi.org/10.1007/978-3-030-43388-8

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-43387-1Published: 09 April 2020

  • Softcover ISBN: 978-3-030-43390-1Published: 09 April 2021

  • eBook ISBN: 978-3-030-43388-8Published: 08 April 2020

  • Edition Number: 1

  • Number of Pages: VIII, 228

  • Number of Illustrations: 16 b/w illustrations, 52 illustrations in colour

  • Topics: Solid Mechanics, Calculus of Variations and Optimal Control; Optimization, Engineering Mathematics

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