Free vibration and spatial stability of non-symmetric thin-walled curved beams with variable curvatures

摘要: Abstract An improved formulation for free vibration and spatial stability of non-symmetric thin-walled curved beams is presented based on the displacement field considering variable curvature effects second-order terms finite-semitangential rotations. By introducing Vlasov’s assumptions integrating over cross-section, total potential energy consistently derived from principle virtual work a continuum. In this formulation, all parameters warping function are defined at centroid axis also thickness-curvature Wagner effect accurately taken into account. For F.E. analysis, beam element developed using third-order Hermitian polynomials. order to illustrate accuracy practical usefulness present method, numerical solutions by study with results analyzed ABAQUS’ shell elements. Particularly, arch rise span length ratio investigated vibrational buckling behaviour beams.