基于RSM的连续刚构桥预应力损失不确定性分析

周建庭; 辛景舟; 王宇; 李志刚

doi:10.3969/j.issn.1671-7775.2016.01.018

PDF(1527 KB)

江苏大学学报（自然科学版） ›› 2016, Vol. 37 ›› Issue (1) : 103-109. DOI: 10.3969/j.issn.1671-7775.2016.01.018

论文

基于RSM的连续刚构桥预应力损失不确定性分析

作者信息 +

Uncertainty analysis of prestressing loss of continuous rigid frame bridge based on response surface method

Author information +

文章历史 +

摘要

针对现行规范计算得到的预应力损失与工程实际存在偏差的问题,考虑施工因素、材料性能和环境条件的随机性对预应力损失的影响,将响应面法引入到预应力损失的预测中．以某特大跨连续刚构桥为工程背景,选择建设期随机误差较为常见的8个主要结构参数,进行Bucher试验设计,构造不含交叉项的二次多项式响应面模型,将预应力损失与各随机参数之间的复杂隐性关系通过显式函数近似地表达出来;基于逐步回归进行基函数的显著性分析与筛选,运用F检验和修正的决定系数进行响应面模型的显著性和精度检验;同时,采用秩相关系数,分析各参数对预应力损失的敏感性;最后,结合Monte Carlo抽样技术,对预应力损失进行概率意义上的预测,得到一定置信概率下的预应力损失区间．

Abstract

The prestressing loss calculated by the current code of China can′t fit actual engineering ideally. To solve the problem，with the considerations of construction factor, materials performance and environment condition, the response surface method was employed for uncertainty analysis of prestressing loss of large span continuous rigid frame bridge. Taking a continuous rigid frame bridge as project background, eight main structure parameters and Bucher design method were adopted to conduct the experimental design with three levels. The response surface models without influence of cross-terms were established to express the complex implicit relationship between prestressing loss and random parameters by approximate explicit functions. The significance test and the accuracy test on response surface models were carried out using F test and corrected determination coefficient. The significance analysis of basis function based on stepwise regression and the sensitivity analysis of parameters were conducted by the Spearman rank correlation coefficient. The prediction of prestressing loss in the sense of probability was realized by Monte Carlo sampling analysis.

导出引用

周建庭, 辛景舟, 王宇, 等. 基于RSM的连续刚构桥预应力损失不确定性分析[J]. 江苏大学学报（自然科学版）, 2016, 37(1): 103-109 https://doi.org/10.3969/j.issn.1671-7775.2016.01.018

ZHOU Jian-Ting, XIN Jing-Zhou, WANG Yu, et al. Uncertainty analysis of prestressing loss of continuous rigid frame bridge based on response surface method[J]. Journal of Jiangsu University(Natural Science Edition), 2016, 37(1): 103-109 https://doi.org/10.3969/j.issn.1671-7775.2016.01.018

参考文献

［1］张宏祥,包旭.预应力损失对连续刚构桥刚度和应力状态的影响分析［J］. 世界桥梁, 2014,42(1):36-39.
ZHANG H X,BAO X. Analysis of impact of prestress loss on stiffness and stress condition of continuous rigid-frame bridge［J］. World Bridges, 2014,42(1):36-39. (in Chinese)
［2］惠国旺. 大跨径PC刚构桥纵向预应力损失及优化设计［D］. 武汉:武汉理工大学, 2008.
［3］叶毅. 自锚式斜拉-悬索协作体系桥参数敏感性与若干问题研究［D］. 大连:大连理工大学, 2010.
［4］张运涛,孟少平,张速.基于响应面法的桥梁结构徐变效应分析［J］. 中国公路学报, 2011, 24(1):78-82.
ZHANG Y T,MENG S P,ZHANG S. Creep effect analysis of bridge structure based on response surface metho-dology［J］. China Journal of Highway and Transport, 2011,24 (1):78-82. (in Chinese)
［5］马坤. 大跨度钢管混凝土劲性骨架拱桥收缩徐变效应随机研究［D］. 成都:西南交通大学, 2012.
［6］刘圣洁, 游庆龙, 丛卓红. 基于响应面法的沥青路面剪应力分析［J］. 江苏大学学报(自然科学版), 2015,36(1):114-118.

LIU S J， YOU Q L， CONG Z H. Analysis of shear stress for asphalt pavement based on response surface methodology［J］.Journal of Jiangsu University(Natural Science Edition), 2015,36(1):114-118. (in Chinese)
［7］贺拴海,李源,任伟,等. 大跨连续刚构桥长期挠度实测分析及预测［J］. 武汉理工大学学报, 2014,36 (4):112-115.
HE S H,LI Y,REN W, et al. Analysis and prediction of long-term deflection of large span continuous rigid bridge［J］. Journal of Wuhan University of Technology, 2014, 36(4):112-115. (in Chinese)
［8］范子杰,马林,桂良进,等. 大客车侧翻安全性多目标优化［J］. 系统仿真学报, 2012,24 (5):1109-1113.
FAN Z J, MA L,GUI L J, et al. Multi-objective optimization for bus rollover crashworthiness［J］. Journal of System Simulation, 2012, 24(5)：1109-1113. (in Chinese)
［9］左迪, 王起才, 张戎令,等. 摩阻损失对连续梁桥线形控制的影响研究［J］. 铁道建筑, 2014(4):13-16.
ZUO D,WANG Q C, ZHANG R L, et al. The friction loss influence on the linear control of continuous beam bridge［J］. Railway Engineering, 2014(4):13-16. (in Chinese)
［10］潘钻峰, 吕志涛. 基于不确定性分析的大跨径PC箱梁桥后期备用束设计［J］. 建筑科学与工程学报, 2010, 27(3):1-7.
PAN Z F,L Z T. Design of late spare tendon for long-span PC box girder bridge based on uncertainty analysis［J］. Journal of Architecture and Civil Engineering, 2010,27 (3):1-7. (in Chinese)
［11］王磊, 张旭辉, 马亚飞,等. 混凝土梁后张预应力损失的概率特征及敏感性评估［J］. 安全与环境学报, 2012,12 (5):204-210.
WANG L,ZHANG X H, MA Y F, et al. Probability distribution and sensitivity evaluation on the post-tensioned prestress loss in concrete beams［J］. Journal of Safety and Environment, 2012, 12 (5):204-210. (in Chinese)