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作 者:陈东亮 张元海[1] CHEN Dong-liang;ZHANG Yuan-hai(School of Civil Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
出 处:《计算力学学报》2023年第6期985-991,共7页Chinese Journal of Computational Mechanics
基 金:国家自然科学基金(51968040)资助项目。
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。In order to reasonably analyze the distortion effect of a trapezoidal box girder with corrugated steel webs and steel bottom plates,its entire cross-section is theoretically approximated to be equivalent to steel according to the principle that the in-plane and out of plane bending stiffness of each plate should be unchanged.The constraint 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 differential equation for distortion 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 girders.The setting of the web depression angle is beneficial to reduce the distortion warping normal stress.The thickness variation of the corrugated steel web has a significant effect on the distortion warping normal stress at the intersection of the web and the bottom plate.
关 键 词:组合箱梁 扇性坐标 畸变效应 等效截面 能量变分法
分 类 号:U448.21[建筑科学—桥梁与隧道工程]
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