Open AccessThe The Effect of Continuous Suspension Constraint on the Free Vibration and Buckling of a Beam
Author(s) -
Róbert K. Németh,
Bilal M. A. Alzubaidi
Publication year - 2021
Publication title -
periodica polytechnica. civil engineering/periodica polytechnica. civil engineering (online)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.406
H-Index - 19
eISSN - 1587-3773
pISSN - 0553-6626
DOI - 10.3311/ppci.17954
Subject(s) - vibration , buckling , beam (structure) , natural frequency , suspension (topology) , structural engineering , constraint (computer aided design) , finite element method , materials science , mathematics , physics , geometry , engineering , acoustics , homotopy , pure mathematics
In this paper, the free vibration and the buckling of a continuously suspended simply-supported beam are analyzed. A semi-analytical approach is used to calculate the natural circular frequencies and the critical forces of the beam. The length of the suspension is used as a parameter, and the natural circular frequencies and the critical forces are presented in a frequency map or a buckling map. The maps are analyzed in view of the trivial solutions, and the frequency map is compared to the map of discrete cable-stayed beams. Finally, for the validation of the results a numerical, finite element analysis is performed.