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Application of Laplace Transform to the Free Vibration of Continuous Beams

Autor(en):


Medium: Fachartikel
Sprache(n): Englisch
Veröffentlicht in: Archives of Civil Engineering, , n. 1, v. 63
Seite(n): 163-180
DOI: 10.1515/ace-2017-0011
Abstrakt:

Laplace Transform is often used in solving the free vibration problems of structural beams. In existing research, there are two types of simplified models of continuous beam placement. The first is to regard the continuous beam as a single-span beam, the middle bearing of which is replaced by the bearing reaction force; the second is to divide the continuous beam into several simply supported beams, with the bending moment of the continuous beam at the middle bearing considered as the external force. Research shows that the second simplified model is incorrect, and the frequency equation derived from the first simplified model contains multiple expressions which might not be equivalent to each other. This paper specifies the application method of Laplace Transform in solving the free vibration problems of continuous beams, having great significance in the proper use of the transform method.

Structurae kann Ihnen derzeit diese Veröffentlichung nicht im Volltext zur Verfügung stellen. Der Volltext ist beim Verlag erhältlich über die DOI: 10.1515/ace-2017-0011.
  • Über diese
    Datenseite
  • Reference-ID
    10476799
  • Veröffentlicht am:
    25.11.2020
  • Geändert am:
    25.11.2020
 
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