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Materials - Mechanics | Numerical Analysis of Vibrations of Structures under Moving Inertial Load

Numerical Analysis of Vibrations of Structures under Moving Inertial Load

Bajer, Czesław I., Dyniewicz, Bartłomiej

2012, XII, 284p. 192 illus., 99 illus. in color.

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  • 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
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.

Content Level » Research

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

Related subjects » Classical Continuum Physics - Mechanics

Table of contents 

Introduction.- Analytical solutions.- Semi-analytical methods.- Review of numerical methods of solution.- Classical numerical methods of time integration.- Space–time finite element method.- Space–time finite elements and a moving load.- The Newmark method and a moving inertial load.- Meshfree methods in moving load problems.- Examples of applications.

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