摘要
选取剪力滞引起的附加挠度作为广义位移,应用初参数法分别求得箱梁剪力滞弯曲变形单元刚度矩阵和约束扭转刚度矩阵,提出一种剪力滞弯扭箱梁单元,适合分析纵向弯曲、剪力滞和约束扭转之间的耦合关系,并对一有机玻璃简支箱梁模型进行计算,所得的跨中截面应力值与ANSYS计算所得应力值基本吻合,验证了该单元的可靠性.经过对该模型内力分析可得:纵向弯曲弯矩图和剪力滞广义力矩图线形的走势基本相同,但在数值上纵向弯曲弯矩值的绝对值恒大于剪力滞广义力矩值的绝对值,在集中荷载作用处两者相差最大;扭翘双力矩的峰值出现在集中荷载作用位置处,且峰值有快速衰减的局部特征.
The additional deflection caused by shear lag effect is adopted as generalized displacement to describe the shear-lag deformation state. Through obtaining the element stiffness of the shear lag and restrained torsion in initial parameter method, the bending-torsion element of shear lag is proposed for analyzing coupling of the longi- tudinal bending, shear lag and restraint torsion. A simple-supported box girder model of organic glass is analyzed and its calculated results confirm to the ANSYS shell element results, the proposed segment element is validated. Through analyzing the model internal force, the results show as follows ： the linear trend of the longitudinal bending moment diagram is similar to the generalized shear lag moment diagram, but the absolute value of the longi- tudinal bending moment is greater than the generalized shear lag moment and the maximum difference is on the position of concentrated load; the peak of bi-moment appears on the position of the concentrated load and the peak value have a fast decrease on a small range.
出处
《兰州工业学院学报》
2016年第1期44-48,共5页
Journal of Lanzhou Institute of Technology
关键词
剪力滞效应
约束扭转
初参数
附加挠度
有限元法
shear lag effect
restraint torsion
initial parameter method
additional deflection
finite element method
