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| 基于能量变分法的钢底板波形钢腹板组合箱梁畸变效应分析 |
| Analysis on distortion effect of composite box girder with corrugated steel webs and steel soleplates based on energy variational method |
| 投稿时间：2022-06-10 修订日期：2023-03-21 |
| DOI： |
| 中文关键词: 组合箱梁 扇性坐标 畸变效应 等效截面 能量变分法 |
| 英文关键词:composite box girder sector coordinate distortion effect equivalent section energy variational method |
| 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: |
| 为合理分析钢底板波形钢腹板梯形箱梁的畸变效应，按各板件面内外抗弯刚度不变的原则将全截面等效为钢材，利用圣维南原理考虑顶底板对波形钢腹板的约束作用，修正畸变扇性坐标分布模式，基于能量变分法建立畸变控制微分方程。与已有文献及有限元进行对比分析，并研究腹板俯角和波形钢腹板厚度变化对畸变翘曲正应力的影响。结果表明：本文解析解与文献解及ANSYS解均吻合较好；基于圣维南原理修正后的扇形坐标分布模式更合理；利用本文等效方法亦可分析传统波形钢腹板组合箱梁的畸变效应；腹板俯角的设置有利于减小畸变翘曲正应力；波形钢腹板厚度变化对腹板与底板交接处的畸变翘曲正应力影响显著。 |
| 英文摘要: |
| In order to reasonably analyze the distortion effect of trapezoidal box girder with corrugated steel webs and steel bottom plates, the entire section is equivalent to steel according to the principle that the in-plane and out of plane bending stiffness of each plate is unchanged. The restraint effect of the top and bottom plates on the corrugated steel webs is considered by using the Saint-Venant principle, the coordinate distribution mode of the distortion sector is modified, and the distortion control differential equation is established based on the energy variational method. Compared with the existing literature and finite element analysis, the influence of web depression angle and thickness change of corrugated steel web on the distortion warping normal stress is studied. The results show that the analytical solution in this paper is in good agreement with the literature solution and ANSYS solution. The modified sector coordinate distribution model based on Saint Venant principle is more reasonable. The equivalent method in this paper can also be used to analyze the distortion effect of traditional corrugated steel web composite box girder. The setting of the web depression angle is beneficial to reduce the distortion warping normal stress. The thickness variation of corrugated steel web has a significant effect on the distortion warping normal stress at the intersection of the webs and the bottom plates. |
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