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Partial Differential Equations of Classical Structural Members

A Consistent Approach

  • Book
  • © 2020

Overview

Authors:
  1. Andreas Öchsner

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

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Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)

Part of the book sub series: SpringerBriefs in Continuum Mechanics (BRIEFSCONTINU)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Introduction to Structural Modeling

    • Andreas Öchsner
    Pages 1-3

  3. Rods or Bars

    • Andreas Öchsner
    Pages 5-11

  4. Euler–Bernoulli Beams

    • Andreas Öchsner
    Pages 13-29

  5. Timoshenko Beams

    • Andreas Öchsner
    Pages 31-46

  6. Plane Members

    • Andreas Öchsner
    Pages 47-55

  7. Classical Plates

    • Andreas Öchsner
    Pages 57-68

  8. Shear Deformable Plates

    • Andreas Öchsner
    Pages 69-80

  9. Three-Dimensional Solids

    • Andreas Öchsner
    Pages 81-88

  10. Introduction to Transient Problems: Rods or Bars

    • Andreas Öchsner
    Pages 89-92
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Keywords

About this book

The derivation and understanding of Partial Differential Equations relies heavily on the fundamental knowledge of the first years of scientific education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills. Thus, it is a challenging topic for prospective engineers and scientists.

This volume provides a compact overview on the classical Partial Differential Equations of structural members in mechanics. It offers a formal way to uniformly describe these equations. All derivations follow a common approach: the three fundamental equations of continuum mechanics, i.e., the kinematics equation, the constitutive equation, and the equilibrium equation, are combined to construct the partial differential equations. 

Authors and Affiliations

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

    Andreas Öchsner

About the author

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). 

Bibliographic Information

  • Book Title: Partial Differential Equations of Classical Structural Members

  • Book Subtitle: A Consistent Approach

  • Authors: Andreas Öchsner

  • Series Title: SpringerBriefs in Applied Sciences and Technology

  • DOI: https://doi.org/10.1007/978-3-030-35311-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

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

  • Softcover ISBN: 978-3-030-35310-0Published: 15 November 2019

  • eBook ISBN: 978-3-030-35311-7Published: 07 November 2019

  • Series ISSN: 2191-530X

  • Series E-ISSN: 2191-5318

  • Edition Number: 1

  • Number of Pages: VIII, 92

  • Number of Illustrations: 47 b/w illustrations, 28 illustrations in colour

  • Topics: Classical Mechanics, Partial Differential Equations, Solid Mechanics

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