About the Influence of Temperature Changes on the Natural Frequencies of Clamped-Clamped Euler-Bernoulli Beams
Journal Title: Romanian Journal of Acoustics and Vibration - Year 2014, Vol 11, Issue 2
Abstract
In this paper a beam subjected to axial forces induced by temperature changes has been analyzed, in order to highlight the effect of this parameter on the structures natural frequencies. The modal analysis, performed by means of the finite element method (FEM), was conducted on an isotropic double-clamped beam. First the buckling critical loads were derived analytically and the post-buckling domain consequently spited in sub-domains; each of them is characterized by a specific mode shape produced by the static compressive load. Afterwards, the beam was thermally stressed and a step-by step analysis, in which the temperature was gradually changed, was performed. For the modal analysis in case of decreased temperatures a step of five Kelvin degrees was imposed, because just stretching forces are present and he phenomenon is simple to be described. In case of increasing the temperature buckling occurs and the dynamic behavior is more complex. Therefore, a finer step of one Kelvin degree was imposed in the analysis; it helped to find the critical temperatures where the frequencies take the zero value and to correlate these temperatures with the values obtained from the static analysis.
Authors and Affiliations
Marius TUFOI, Gilbert GILLICH, Zeno PRAISACH, Vasile IANCU, Horia FURDUI
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