Summary
This paper represents an exact solution for a problem which has been of interest in Structural Engineering for many years. The solution is “exact” in the engineering sense; it converges very rapidly. The solution is given by means of an expansion of the eigenfunctions in a series. The eigenfunctions satisfying the boundary and transient conditions for masses moving over a structure have been determined exactly by performing the integration in the Stieltjes sense. The method is simple, short and elegant and is based on operational calculus. It yields the results in perfect agreement with an accurate numerical solution previously given in the literature.
Übersicht
In dieser Arbeit wird eine exakte Lösung für das Verhalten von Strukturen unter bewegten Massen gegeben. Die Lösung wird durch eine Reihenentwicklung in Eigenfunktionen ermittelt, wobei die Eigenfunktionen mit Hilfe von Stieltjes Integralen exakt bestimmt werden. Die Reihen konvergieren schnell; die Ergebnisse stimmen ausgezeichnet mit bekannten numerischen Lösungen überein.
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Stanišić, M.M. On a new theory of the dynamic behavior of the structures carrying moving masses. Ing. arch 55, 176–185 (1985). https://doi.org/10.1007/BF00536412
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DOI: https://doi.org/10.1007/BF00536412