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

摘要: 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 kinetic energies are first derived by considering constant curvature deformation effects due to forces restrained warping torsion. Next equilibrium equations force-deformation relations obtained using a stationary condition total potential energy. And finite element procedures developed isoparametric beam arbitray sections. Particularly not only thickness-curvature on behaviors but also mode transition crossover phenomena change curvatures parametrically investigated. In order illustrate accuracy reliability this study, various numerical solutions for compared results available references ABAQUS`s shell element.