曲り円管の面内弾塑性曲げ解析 : 第1報, 純曲げの場合

概要

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In-plane bending of curved tubes is analyzed numerically in the elastic-plastic range on the assumption of pure bending, uniform deformation along its longitudinal axis and the Kirchhoff-Love hypothesis. The equilibrium equations of pure bending of tubes, derived by E.L. Axelrad, are transformed into incremental forms and solved by the updated Lagrange method. The material of tubes is assumed to obey a power-hardening law and the Prandtl-Reuss flow theory. The curved tube is discretized by a rigid body-spring model, which is composed of rigid plate elements connected with nonlinear springs that are distributed over the ends. The in-plane stiffness and flexural rigidity of the tube wall are obtained by numerically integrating generalized incremental stiffness over the wall thickness. Numerical analyses have been carried out for various combinations of initial in-plane curvature, diameter and thickness of the curved tube. The present analyses simulate well the relation between bending moment and change in curvature, and flattening of cross sections which are obtained by bending experiments in aluminum tubes by Murota and Endo.
一般社団法人日本機械学会の論文
1991-09-25