宽翼T形梁桥动力学理论与特性分析

考虑了剪滞翘曲应力自平衡条件、剪切变形和剪力滞后效应等因素的影响,本文提出了一种对宽翼薄壁T形梁动力学特性的分析方法.分析中为了准确反应T形梁翼板的动位移变化,三个广义动位移被引入,且以能量变分原理为基础建立了T形梁动力反应的控制微分方程和自然边界条件,据此对T形梁的动力反应特性进行了分析,揭示了T形梁桥动力反应的规律.算例中,对比了考虑和不考虑剪滞翘曲应力自平衡条件对T形梁动力反应的影响,结果显示考虑剪滞翘曲应力自平衡条件的计算方法与有限元数值解吻合更好.

Analysis on dynamic theory and characteristics of thin-walled T-beams with wide flanges

In consideration of shear deformation and shear lag effects, A new warping displacement mode of T-beams is chosen to meet the axial self-equilibrium condition for corresponding stress, this paper proposes an ap- proach of analyzing the dynamic characteristics of thin-walled T-beams with wide flanges generally used in engi- neering, three generalized displacement functions are employed in analyzing dynamic response of the thin-walled T-beams by calculus of variations, the differential equations and the corresponding natural boundary conditions of the T-beams are induced based on the minimum potential principle, and the dynamic characteristics of thin- walled T-beams are discussed. The calculation examples compare the finite solid element solutions with the ana- lytical solutions, and the analytical solutions in consideration of the axial self-equilibrium condition is still more identical with the finite solid element solutions, the formulas obtained in this study strengthen the theoretical foundation for further research of dynamic characteristics of the structures.