摘要
闭口组合箱梁复合弯扭作用下的约束扭转分析属于薄壁构件复合受力的空间问题非线性分析.本文首先根据广义坐标法原理,以拉伸弹簧和滑移弹簧模拟混凝土翼板和工字钢梁之间交界面的脱离和滑移效应,通过给定其广义坐标,推出了闭口组合箱梁复合受力下扭转分析的微分方程组;介绍了常微分方程(ODEs)求解器COLSYS的优点与求解方法;详细推导了闭口组合箱梁复合受力下的微分方程求解过程;借助计算实例和实测值,编制了满足求解器COLSYS的有关主程序,借助于求解器COLSYS进行了求解分析,计算结果与试验值进行了分析比较.最后对闭口组合箱梁的弯扭相关性进行了分析,给出了理论计算和试验实测的闭口组合箱梁的弯扭相关性表达式.
Analysis is made in this paper on the restrained torsion of box-section composite steel-concrete beams under combined flexure and torsion,which belongs to nonlinear space problems of thin-walled structure. Based on the principle of generalized coordinate method, the system of differential equations for torsion analysis on boxsection composite beams under combined flexure and torsion is derived by using extension and slipping springs to simulate the effect of detachment and slippage on interface between concrete slab and steel beam with prescribed generalized coordinates. Outstanding features and solution of ordinary differential equations （ODEs） solver- COLSYS software are introduced. The solution process of the differential equations on box-section composite beams under combined flexure and torsion has been described in detail. Using a practical example, the corresponding main program is given out and compiled by the solver-COLSYS. The theoretical results are eompard with the test ones. Finally, the relativity equations are gained and analysis on bending-torsion relativity of box-section composite beam is made. The results of this paper provide references to the design of thin-walled reinforced concrete structures under bending and torsion.
出处
《水利水运工程学报》
CSCD
北大核心
2009年第1期1-9,共9页
Hydro-Science and Engineering
基金
江苏省自然科学基金资助项目(BK2007010)
教育部留学回国基金启动项目(2005-55)
