Static And Dynamic Performance Of Curve Thin-walled Beams With Shear Lag Effect

Curved beam structure in modern traffic engineering and large building structures has an important role, curved beam due to bending and torsion coupling characteristics, and a straight beam, its particularity and complexity. In the beamcross-section types, H, T-box ribs transfer the shear flow, including the edge by pull large to pass process within the board, curved at the upper and lower plates are shear deformation, tensile stress will gradually become smaller and therefore actually on board the tensile stress in the cross-sectional distribution is uneven, showing the board the middle of a small on both sides of the stress stateoccurs. Shear flow in a straight line beam in the lateral transfer process, the shear lag phenomenon, there are a large number of research studies in the curved beam in the fresh, the particularity of the curved beam analysis of curved beam shear lag effect of static dynamic characteristics.Thin-walled box beam shear lag effect of statics and dynamics of the research work now being undertaken in the statics of various boundary conditions anddifferent types of box girder with a lot of research, but in the dynamics characteristics, considering the vibration characteristics of beam affected by the forcedvibration characteristics of shear lag do not have too much research, especiallyin the curved beam, yet few papers appear. In terms of statics, assuming thatthe longitudinal displacement of the beam equation, energy variational method, considering the shear deformation and box girder warping role can be in different boundary conditions, Differential Equations, but because of its computational complexity This article does not use this method to migrate to answer to the curved beam. In fan coordinates, assuming the curve beam longitudinal displacement of the expression shown, and then use the Galerkin method to answer the displacements and internal forces of differential equilibrium equations, the curvedbeam shear lag effect of a solution. In practical engineering, the concept of effective width to consider the role of the flange plate subjected to stress, this paper obtained by the shear lag coefficient expression derived curved beam under various boundary expressions of the effective distribution width. In this paper, based on the study of the curved beam, the first time the numerical solution of the curve uniform beam shear lag effect. Dynamics, using the energy variational method, the linear beam differential balance the mechanical equations under different boundary conditions are taken into account the vertical vibration equationof the straight-line beam shear lag. The vibration equation of the beam, the beam natural frequency without considering the shear lag natural frequency of beam shear lag on the natural vibration characteristics of beam. Curve of shear lagon dynamic characteristics of the same subspace iteration method for solving the equations of motion to get the natural frequency of the curved beam. For different boundary conditions, the relevant law of the shear lag, these experiencescan be applied to the design and construction design, effectively avoid the hazards of shear lag bridge use.