A Tangent Theory of Thin-Walled Beams After Any Large Displacements

Abstract

Upon an existing nonlinear theory of thin-walled beams for truly large displacements, linearized governing relations are rigorously developed on a general equilibrium after any large displacements. Apart from those in that nonlinear theory, another set of parameters are employed for the infinitesimal variations under the same kinematic field to develop a normalized formulation. Any bucklings of thin-walled beams arising after large displacements can be put exactly on the present tangent equations : as an unprecedented example, the flexural buckling of an open-cross-section beam subject to finite torsion and compression is analyzed.