Numerical Analysis of Vibrations of Structures under Moving Inertial Load

  • Czesław I. Bajer
  • Bartłomiej Dyniewicz

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 65)

Table of contents

  1. Front Matter
    Pages 1-9
  2. Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 1-20
  3. Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 21-30
  4. Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 31-76
  5. Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 77-93
  6. Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 95-122
  7. Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 123-180
  8. Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 181-221
  9. Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 223-240
  10. Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 241-246
  11. Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 247-270
  12. Back Matter
    Pages 0--1

About this book

Introduction

Moving inertial loads are applied to structures in civil engineering, robotics, and mechanical engineering. Some fundamental books exist, as well as thousands of research papers. Well known is the book by L. Frýba, Vibrations of Solids and Structures Under Moving Loads, which describes almost all problems concerning non-inertial loads.
This book presents broad description of numerical tools successfully applied to structural dynamic analysis. Physically we deal with non-conservative systems. The discrete approach formulated with the use of the classical finite element method results in elemental matrices, which can be directly added to global structure matrices. A more general approach is carried out with the space-time finite element method. In such a case, a trajectory of the moving concentrated parameter in space and time can be simply defined.
We consider structures described by pure hyperbolic differential equations such as strings and structures described by hyperbolic-parabolic differential equations such as beams and plates. More complex structures such as frames, grids, shells, and three-dimensional objects, can be treated with the use of the solutions given in this book.

Keywords

Finite Element Carrying Moving Mass Inertial Moving Load Moving Loads With Finite Element Method Moving Loads With Space-Time Finite Element Method Numerical Analysis Of Inertial Moving Loads

Authors and affiliations

  • Czesław I. Bajer
    • 1
  • Bartłomiej Dyniewicz
    • 2
  1. 1.Polish Academy of SciencesWarsaw University of TechnologyWarszawaPoland
  2. 2.Institute of Fundamental, Technological ResearchPolish Academy of SciencesWarszawaPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-29548-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-29547-8
  • Online ISBN 978-3-642-29548-5
  • Series Print ISSN 1613-7736
  • Series Online ISSN 1860-0816
  • About this book
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