On the dynamic behaviour of an elastically supported beam of infinite length, loaded by a concentrated force期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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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 0 $\overline t$ $\overline t _s$ ; 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.

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