基于弹性补偿有限元法的拱桥极限分析

Limit analysis of arch bridge by elastic compensation based finite element method

基于塑性极限荷载理论,提出了一种拱桥极限分析的新方法——基于弹性补偿有限元法的拱桥极限承载力分析方法,综合考虑拉压、剪力、弯矩和扭矩等内力作用,根据近似广义屈服准则,通过连续修改单元的弹性模量而引起应力重新分布,以模拟拱桥结构体系的塑性失效行为.同时,编制了拱桥极限承载力计算程序,计算结果与模型拱桥的试验结果相比较,验证了方法所具有的较高的计算精度和计算效率.并且讨论了拱桥材料特性、截面几何尺寸和矢跨比等参数对拱桥极限承载力的影响.

The elastic compensation based finite element method is presented for limit analysis of arched bridge. The complex inner force state is considered and the approximate generalized criterion is adopted so that the plastic yielding behavior can be simulated via elastic finite element method by means of the redistribution of stress in the arch bridge. A computer programming code is developed for limit analysis. The results achieved by this method are compared with those by model test which shows good agreement, and the efficiency and accuracy of the method are demonstrated. The main parameters of material, geometric dimension etc. are discussed and analyzed.