Constraint Torsion Analysis Of Thin-walled Box Beam Considering Distortion

A long as the application of thin-walled box beam increasing widespread in the field of civil engineering, as well as deepening study of thin-walled box beam, more and more engineering staff pay attention to the affection of thin-walled box beam cross-section deformation (distortion) In a number of box girder bridges, significant deformation of some cross-sectional distortion generated are often seriously affect the normal use of the bridge. So, considering the impaction of the distortion in some projects is essential, not to be ignored.This article is under the assumption of the generalized coordinate method,based on Lagrange equations and Hamilton duality solution system,using the generalized coordinate method of reverse deformation in thin-walled box beam, Hamilton canonical equation of thin walled box section beam torsion analysis when considering the distortion was established, and use the precise integration method analyze the constraint reverse of the thin-walled box girder, prepare the corresponding MATLAB analysis program and debug it to solve the high-precision numerical solution. The results indicate the correctness of the Hamilton canonical equations and the applicability of the precise integration method.Use this method analyze and calculate the specific structure example, the results of above compared show this method is validation Although study the classic problem of elasticity theory, but established the Hamiltonian canonical equation and application of the precise integration method is innovation, and provides a new way to solving and analysis the classic problem.To the analysis of structural shift from mechanical expression to mathematical expressions, and provide reference materials for the future understanding of such structure.