Lecture Notes in Applied and Computational Mechanics

Numerical Analysis of Vibrations of Structures under Moving Inertial Load

Authors: Bajer, Czesław I., Dyniewicz, Bartłomiej

  • 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
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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)


Table of contents (10 chapters)

  • Introduction

    Bajer, Czesław I. (et al.)

    Pages 1-20

  • Analytical Solutions

    Bajer, Czesław I. (et al.)

    Pages 21-30

  • Semi-analytical Methods

    Bajer, Czesław I. (et al.)

    Pages 31-76

  • Review of Numerical Methods of Solution

    Bajer, Czesław I. (et al.)

    Pages 77-93

  • Classical Numerical Methods of Time Integration

    Bajer, Czesław I. (et al.)

    Pages 95-122

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-642-29548-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-642-29547-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Analysis of Vibrations of Structures under Moving Inertial Load
Authors
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
65
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-29548-5
DOI
10.1007/978-3-642-29548-5
Hardcover ISBN
978-3-642-29547-8
Series ISSN
1613-7736
Edition Number
1
Number of Pages
X, 294
Topics