EExact Solutions for Forced Vibration of Non-Uniform Rods by Laplace Transformation

Authors : Kerimcan CELEBI, İbrahim KELES, Naki TUTUNCU

Pages : 347-353

View : 27 | Download : 8

Publication Date : 2011-04-05

Article Type : Other Papers

Abstract :Longitudinal forced vibration behavior of non-uniform rods subjected to dynamic axial load is studied. Exact displacement solutions are obtained using the Laplace transformation method. Free vibration behavior is readily obtained in the analysis. Natural frequencies available in the literature for the cases considered are fully recovered. Inverse transformation into the time domain is performed using calculus of residues. Closed-form displacement expressions are tractable and efficiently implemented. Their efficiency is demonstrated by comparing the results with those obtained using Mode Superposition Method. Key Words : Longitudinal vibrations; Forced vibrations; Natural  frequency; Non-uniform rod; Laplace     transformation; Residue theorem.      
Keywords : Longitudinal vibrations, Forced vibrations, Natural frequency, Non uniform rod, Laplace