Lateral-Torsional Buckling Analysis of Bisymmetric Thin-Walled Beam under Axial Force and Nonuniform Bending Moment

• Main Authors: Shuo-Hsiu Hsu, 許碩修
• Other Authors: 蕭國模
• Format: Others
• Language: zh-TW
• Published: 2002
• Online Access: http://ndltd.ncl.edu.tw/handle/49196229549752184772

碩士 === 國立交通大學 === 機械工程系 === 90 === In the study, the nonlinear lateral-torsional buckling analysis of bisymmetric thin-walled beam under axial force and nonuniform bending moment is investigated. The beam element developed in reference [1] is employed here. In reference [1], the co-rotational formulation, the virtual displacement method and the consistent second order linearization of geometric beam theory are used. An incremental-iterative method based on the Newton-Raphson method combined with constant arc length of incremental displacement vector is employed for the solution of nonlinear equilibrium equations. The zero value of the tangent stiffness matrix determinant of the structure is used as the criterion of the buckling state. A bisection method of the arc length is used to find the buckling load. The nonlinear lateral-torsional buckling moment and post buckling behavior of beams with different sections, lengths, and boundary conditions under axial force and nonuniform bending momen is investigated. The accuracy of results of the linear buckling analysis given in the literature is examined.