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机构地区:[1]东北大学资源与土木工程学院,辽宁沈阳110819
出 处:《东北大学学报(自然科学版)》2015年第8期1204-1207,1216,共5页Journal of Northeastern University(Natural Science)
基 金:中央高校基本科研业务费专项资金资助项目(N120401010)
摘 要:根据钢与混凝土组合箱形结构翘曲位移函数设置的基本原理,选择一系列符合组合箱梁基本翘曲模式的抛物线型翘曲位移函数,以最小势能原理为基础,得到利用变分法分析钢与混凝土组合箱梁剪力滞效应的控制微分方程和边界条件,并推导了典型的简支组合箱梁在跨中集中荷载作用下的解析解.静力分析算例结果证明了选择二次抛物线型为翘曲位移函数的合理性和适用性.将解析解与实测结果和有限元计算结果进行比较,证明了本文方法的有效性.基于能量原理得到的计算公式能够满足工程实际的需要,且计算较为简单.Based on the basic principle of warping displacement function setting, a series of parabolic warping displacement functions that meet the basic warping mode of concrete composite box girders were selected for the proposed approach. The energy variation principle was applied to establish the governing differential equations and corresponding natural boundary conditions in consideration of the effect of shear lag. Then the analytical solutions to typical simply supported composite girders under mid-span concentrated load were derived. The static calculation examples verified the rationality and applicability of selecting quadratic parabolic warping displacement functions. Meanwhile, the measured results and the analytical solutions were compared with the finite element calculations so as to confirm the effectiveness of the approach. The calculation formula based on energy principle can meet the practical needs in engineering and the calculation is simple.
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