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Partial Differential Equations of Classical Structural Members

A Consistent Approach

  • Andreas Öchsner
Book

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

Also part of the SpringerBriefs in Continuum Mechanics book sub series (BRIEFSCONTINU)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Andreas Öchsner
    Pages 1-3
  3. Andreas Öchsner
    Pages 5-11
  4. Andreas Öchsner
    Pages 13-29
  5. Andreas Öchsner
    Pages 31-46
  6. Andreas Öchsner
    Pages 47-55
  7. Andreas Öchsner
    Pages 57-68
  8. Andreas Öchsner
    Pages 69-80
  9. Andreas Öchsner
    Pages 81-88

About this book

Introduction

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. 

Keywords

Timoshenko Beams Shear Deformable Plats Euler-Bernoulli Beams Transient Problems Mechanical Members Continuum Mechanics

Authors and affiliations

  • Andreas Öchsner
    • 1
  1. 1.Faculty of Mechanical EngineeringEsslingen University of Applied SciencesEsslingenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-35311-7
  • Copyright Information The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-030-35310-0
  • Online ISBN 978-3-030-35311-7
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • Buy this book on publisher's site
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