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  • Book
  • © 2012

Numerical Analysis of Vibrations of Structures under Moving Inertial Load

  • Presents broad description of numerical tools successfully applied to structural dynamic analysis
  • Presents recent research on Numerical analysis of vibrations of structures under moving inertial load
  • Written by leading experts in the field

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages 1-9
  2. Introduction

    • Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 1-20
  3. Analytical Solutions

    • Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 21-30
  4. Semi-analytical Methods

    • Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 31-76
  5. Review of Numerical Methods of Solution

    • Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 77-93
  6. Classical Numerical Methods of Time Integration

    • Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 95-122
  7. Space-Time Finite Element Method

    • Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 123-180
  8. Space-Time Finite Elements and a Moving Load

    • Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 181-221
  9. The Newmark Method and a Moving Inertial Load

    • Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 223-240
  10. Meshfree Methods in Moving Load Problems

    • Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 241-246
  11. Examples of Applications

    • Czesław I. Bajer, Bartłomiej Dyniewicz
    Pages 247-270
  12. Back Matter

    Pages 0--1

About this book

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.

Reviews

From the reviews:

“The authors deal with many numerical methods to solve problems concerning vibrations of structures under moving inertial loads; semi-analytical methods are presented to better understand the differential equations that govern the mechanical problems. … An appendix contains computer programs for some structures, and a rich bibliography (154 titles) follows. … The book can be useful for many engineers, researchers and students, and represents a valuable contribution to the field.” (Petre P. Teodorescu, Zentralblatt MATH, Vol. 1254, 2013)

Authors and Affiliations

  • Polish Academy of Sciences, Warsaw University of Technology, Warszawa, Poland

    Czesław I. Bajer

  • Institute of Fundamental, Technological Research, Polish Academy of Sciences, Warszawa, Poland

    Bartłomiej Dyniewicz

Bibliographic Information

  • Book Title: Numerical Analysis of Vibrations of Structures under Moving Inertial Load

  • Authors: Czesław I. Bajer, Bartłomiej Dyniewicz

  • Series Title: Lecture Notes in Applied and Computational Mechanics

  • DOI: https://doi.org/10.1007/978-3-642-29548-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2012

  • Hardcover ISBN: 978-3-642-29547-8Published: 28 April 2012

  • Softcover ISBN: 978-3-662-52198-4Published: 23 August 2016

  • eBook ISBN: 978-3-642-29548-5Published: 27 April 2012

  • Series ISSN: 1613-7736

  • Series E-ISSN: 1860-0816

  • Edition Number: 1

  • Number of Pages: X, 294

  • Topics: Solid Mechanics, Theoretical and Applied Mechanics, Classical Mechanics

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access