Post-Buckling Behavior in Pure Bending of Thin Strips with Arc Cross Section : 1st Report, Approximate Deformation Analysis Using Energy Method

Abstract

A service cable with flat wires and an woven tube for an sensor of the sliding door was under consideration using the post-buckling behavior in pure bending of thin strips with arc cross section in order to keep quiet and to miniaturize the service system. The post-buckling deformation model was proposed and the post-buckling deformations of the flexible structure were approximately analyzed using the strain energy method for an infinitesimal strain problem of large deformation. The stability of the post-buckling was discussed checking the second variation of the total potential energy. The theoretical predictions were compared with experimental results about the relationship between the radius of curvature under post-buckling and the radius of circular arc and the pure bending moments of the barrel-shape and the saddle-shape deformations, and the correspondence was found to be acceptable.