Abstract
Problems of the dynamics of moving loads can be divided into three main groups depending on the nature of the load. The first is called the Willis-Stokes [131, 140] problem, describing the motion of an inertial point load travelling along a massless Euler beam. We know its complete analytical solution. The second case is related to the load of a constant amplitude moving along an inertial beam. This task was first solved by Krylov [75]. Further works discussed the influence of the elastic foundation [1, 129] and subcritical and critical velocities of the moving force [53]. Also in the case of a moving force with periodic amplitude, the complete analytical solutions are known [30, 94, 96, 137]. An excellent summary of these works is given by Frýba in his monograph [56]. He discusses in detail the majority of types of such problems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Bajer, C.I., Dyniewicz, B. (2012). Semi-analytical Methods. In: Numerical Analysis of Vibrations of Structures under Moving Inertial Load. Lecture Notes in Applied and Computational Mechanics, vol 65. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29548-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-29548-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29547-8
Online ISBN: 978-3-642-29548-5
eBook Packages: EngineeringEngineering (R0)