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http://dx.doi.org/10.5000/EESK.2003.7.4.001

Free Vibration Analysis of Non-symmetric Thin-Walled Curved Beams with Shear Deformation  

Kim, Nam-Il (Dept.of Civil Environment Engineering, Sungkyunkwan University)
Kim, Moon-Young (Dept.of Civil Environment Engineering, Sungkyunkwan University)
Cheol, Min-Byoung (Dept.of Construction Environment Design, Induk Institute of Technology)
Publication Information
Journal of the Earthquake Engineering Society of Korea / v.7, no.4, 2003 , pp. 1-13 More about this Journal
Abstract
For spatial free vibration of non-symmetric thin-walled curved beams with shear deformation, an improved formulation is proposed in the present study. The elastic strain and the kinetic energies are first derived by considering constant curvature and shear deformation effects due to shear forces and restrained warping torsion. Next equilibrium equations and force-deformation relations are obtained using a stationary condition of total potential energy. And the finite element procedures are developed by using isoparametric curved beam element with arbitray thin-walled sections. Particularly not only shear deformation and thickness-curvature effects on vibration behaviors of curved beams but also mode transition and crossover phenomena with change in curvatures of beams are parametrically investigated. In order to illustrate the accuracy and the reliability of this study, various numerical solutions for spatial free vibration are compared with results by available references and ABAQUS's shell element.
Keywords
curved beam; thin-walled; warping; shear deformation; free vibration; isoparametric beam element;
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