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曲线箱梁的非线性控制方程及其求解
Nonlinear Governing Equation of Curved Box Girder and Its Solution
【摘要】 根据薄壁曲线梁理论和势能变分原理,考虑箱梁翼缘正应力的剪滞效应和结构大挠度影响,导出了薄壁曲线箱梁的几何非线性控制微分方程,并采用样条最小二乘配点法进行求解,其结果与试验值和有限段解基本吻合。文中给出的公式和方法可供薄壁曲线箱梁设计参考。
【Abstract】 By means of the potential variational principle and the theory of thin-walled box girders,considering the influence of the shear lag effect of flanges stress and the large deflection,the geometry nonlinear governing differential equation of thin-walled box girders is obtained.The equation is solved with the least two-multiplication allotting point method.The results are consistent with those of the test and the segment method.The proposed formulae and method could be referenced to the design for the thin-walled box girders.
【关键词】 曲线箱梁;
非线性控制方程;
样条函数;
剪滞效应;
【Key words】 curved box girder; nonlinear governing equation; spline function; shear lag effect;
【Key words】 curved box girder; nonlinear governing equation; spline function; shear lag effect;
【基金】 国家自然科学基金资助项目(50378019);广东省自然科学基金资助项目(034066)
- 【文献出处】 中山大学学报(自然科学版) ,Acta Scientiarum Naturalium Universitatis Sunyatseni , 编辑部邮箱 ,2006年05期
- 【分类号】U441.5
- 【被引频次】5
- 【下载频次】159