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.

JO - Archives of Civil Engineering L1 - http://sd.czasopisma.pan.pl/Content/103337/PDF/ace-2017-0011.pdf L2 - http://sd.czasopisma.pan.pl/Content/103337 IS - No 1 EP - 180 KW - Przekształcenie Laplace’a KW - ciągła wiązka KW - drganie KW - dzielona metoda łączenia KW - częstotliwość KW - Laplace transform KW - Continuous beam KW - Vibration KW - Segmented combination method KW - Frequency ER - A1 - Wen, H.B. A1 - Zeng, T. A1 - Hu, G.Z. PB - WARSAW UNIVERSITY OF TECHNOLOGY FACULTY OF CIVIL ENGINEERING COMMITTEE FOR CIVIL ENGINEERING POLISH ACADEMY OF SCIENCES JF - Archives of Civil Engineering SP - 163 T1 - Zastosowanie przekształcenia Laplace’a w wolnych drganiach ciągłych wiązek T1 - Application of Laplace Transform to the free vibration of continuous beams UR - http://sd.czasopisma.pan.pl/dlibra/docmetadata?id=103337