Theory of Thinwalled Component Stability Based on Finite Rotation and Its Application

Abstract:

To overcome the default of the classic theory, semitangential rotation was introduced as the spatially rotational parameters. Based on the secondorder rotation matrix, the expression of the secondorder displacement of beam element was deduced. According to the finite deformation theory, the straindisplacement nonlinear relationship for the thinwalled structures were presented. Based on the Bernoulli plain section assumption, the relation between rotation and transverse displacement derivative was derived. Thinwalled component stability theory was adopted to duduce the total potential energy of flexuraltorsional buckling, which verified the traditional formula and overcame the defects of traditional theory. The analysis results show that the proposed theory is suitable for flexuraltorsional buckling analysis of beams under any boundary conditions and loadings.

Key words:nonlinear analysis; buckling analysis; thinwalled structure; semitangential rotation