Title of article :
Exact Solutions for Forced Vibration of Non-Uniform Rods by Laplace Transformation
Author/Authors :
CELEBI, Kerimcan Osmaniye Korkut Ata University - Department of Mechanical Engineering, TURKEY , KELES, İbrahim Mustafa Kemal University - Department of Mechanical Engineering, TURKEY , TUTUNCU, Naki Cukurova University - Department of Mechanical Engineering, TURKEY
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.
Keywords :
Longitudinal vibrations , Forced vibrations , Natural frequency , Non , uniform rod , Laplace transformation , Residue theorem.
Journal title :
Gazi University Journal Of Science
Journal title :
Gazi University Journal Of Science
