| In the modern bridge engineering,along w ith the large-scale construction of the high grade line,the city interch ange and th e viaduct project,the application of the thin-walled curved beam bridge has been quite extensive.Because of the advantages of large bending and torsional rigidity,light weight and low consum ption of material,it has been widely used in the construction of thin-walled curved beams.Therefore,study on the bending and torsion problem of thin-walled box girder in this paper.Using the three curve to simulate the shear lag effect at the same time,the two shear deformation of shear deformation and bending torsion re straint when considering the assumptions and geometric relations are derived by cons idering the total energy expression and the Lagrange equation of beam bending and tors ion problem of thin-walled curved box shear lag effect,according to the dual variables Legendre transform into generalized displacement(Generalized force),the Hamiltonian and Hamiltonian canonical equations are derived for the problem,in order to internal force and displa cement of the thin-walled curved box beam considering shear lag effect of bending and torsion,the precise integration algorithm for two point boundary value problem s are solved,compiled using com puter programming Matlab language program for the precise integration algorithm.The program is so lved by the program,and the results are compared with those in the literature.The significance of this rese arch is the first in the analysis of thin-w alled box girder bending,considering the shear lag ef fect at the sam e time,considering the influence of shear deform ation and bending torsion constraint two shear deform ation,and to improve the analysis of thin-walled curved beam theory.Secondly,the precise integration algorithm is an effective method to solve the problem in this paper.It can be more convenient for theoretical calculation and structural design. |
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