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On the dynamic behaviour of an elastically supported beam of infinite length, loaded by a concentrated force
Authors:W L Esmeijer
Institution:(1) Nijverheidsorganisatie T.N.O., Werkgroep Trillingsonderzoek, Delft
Abstract:Summary An elastically supported beam of infinite length, initially at rest, carries a variable concentrated force 
$$\overline K (\overline t )$$
at a prescribed point A. General expressions are given for the deflection and the bending moment at A (6.3 and 6.4). Three special cases are considered; the first one is defined by 
$$\overline K (\overline t )$$
=0 for 
$$\overline t $$
and 
$$\overline K (\overline t )$$
=K=const. for 
$$\overline t $$
; the second one by 
$$\overline K (\overline t )$$
=0 for 0 > 
$$\overline t $$
> 
$$\overline t _s $$
, 
$$\overline K (\overline t )$$
given function of 
$$\overline t $$
for 0les 
$$\overline t $$
les 
$$\overline t _s $$
; the third one applies to problems in which, during the period of impact, 
$$\overline K (\overline t )$$
itself is an unknown. The results given here may be of use in those railway-engineering problems in which a rail can be considered as a beam of infinite length, and in which the supporting ground has the required properties.
Keywords:
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