振动时箱梁剪力滞效应方程的差分解法

Difference Equation Solution to the Shear Lag Effect of Box Girder Vibration

首先定义了剪滞翘曲函数,然后用变分原理推导了考虑剪力滞效应的箱梁振动微分方程、边界及初始条件,探讨了方程的解法,详细的建立了方程解的差分格式,论证了差分格式的稳定性、收敛性,最后通过简支梁算例的计算结果验证了方法体系的可行性,为将来用差分法求解振动控制微分方程奠定了一定的基础.

Based on the wing plate shear deformation,the shear lag warping function is defined. By using variation principie,the differential equation to the shear lag effect of box girder vibration,boundary and initial conditions of thin-wall box girder is deduced. Equation solution is discussed,difference schemes of the equation is set up,stability and convergence property of difference scheme is demonstrated. the feasibility of this solution is testified with examples,which provides foundation for the vibration difference equation solution.