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| 基于力法的斜支承连续箱梁挠曲扭转内力分析 |
| Analysis on Flexural-Torsional Internal Force of Skewly Supported Comtinuous Box Girder Based on Force Method |
| 投稿时间：2020-10-08 修订日期：2021-01-12 |
| DOI： |
| 中文关键词: 连续箱梁 斜支承 弯扭特性 力法 斜交角 |
| 英文关键词:continuous box girder skew supports bending-torsional feature force method skew angle |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 中文摘要: |
| 摘要：为分析斜支承连续箱梁的挠曲扭转力学性能，在闭口薄壁杆件约束扭转齐次微分方程初参数解的基础上，首先导出了简支箱梁分别承受集中扭矩荷载和均布扭矩荷载时的初参数解，然后选取简支箱梁为基本结构，以斜支承点的约束反力为多余未知力建立了多跨斜支承连续箱梁的力法方程。选取斜支承两跨连续箱梁为算例，用本文方法和ANSYS软件计算了竖向均布荷载作用下的各项内力，并分析了斜交角变化对各项内力的影响。结果表明：按本文方法计算的弯矩和扭矩与ANSYS计算值吻合良好；在竖向对称均布荷载作用下，弯矩和扭矩沿梁轴对称分布，双力矩反对称分布，各项内力随斜交角的变化具有单调性；在竖向偏心均布荷载作用下，各内力均不再对称分布，其随斜交角的变化规律也更加复杂。 |
| 英文摘要: |
| Abstract: In order to analyze the flexural-torsional mechanical properties of skewly supported continuous box girder, the initial parametric solutions of simply supported box girder subjected to concentrated torque load and uniform torque load are derived respectively based on the initial parametric solutions of the homogeneous differential equation for restrain torsion of closed thin-walled bar. Then taking simply supported box girder as the basic structure and considering the constraint reaction forces acting on skew supports as redundant unknown forces. The basic equation for force method of multi-span skewly supported continuous box girder is established. Choseing two-span continuous box girder with skew supports as an example the each internal force of which under vertical uniform load is calculated by using the present method and ANSYS software. The influence of variation of skew angle on each internal force is analyzed. The results show that the bending moment and torque calculated by present method are good agreement with ANSYS. The bending moment and torque of skewly supported two-span continuous box girder are distributed symmetrically along the axial of the beam and the bimoment is distributed untisymmetrically under the vertical symmetrical uniformly distributed load and the variation of each internal force with skew angle is monotonic. The internal forces are no longer distributed symmetrically under the vertical eccentric uniformly distributed load and the variation of each internal force with skew angle is more complicated. |
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