•  
  •  
 

Abstract

In order to solve the problem that the traditional GM(1,1) grey model has low prediction accuracy in the alignment control of the cantilever assembly construction bridge, this paper used the fractional operator GM(1,1) model to predict the elevation of the bridge construction segment, optimized the construction method of the model background value, and established a new fractional GM(1,1) model with three parameters. This model achieved a dual optimization of the order and background values of the traditional GM(1,1) model. In order to test the prediction accuracy, the proposed model was compared with the traditional GM(1,1) model and the fractional GM(1,1) model. The results show that the average relative error of the optimized fractional GM(1,1) is 5.9%, which is 11.6% lower than that of the traditional GM(1,1), and the prediction accuracy is further improved.

Publication Date

6-18-2022

DOI

10.14048/j.issn.1671-2579.2022.03.013

First Page

70

Last Page

73

Submission Date

May 2025

Reference

[1] 孙国樑, 杨昀. 杭州下沙大桥主桥施工监控技术[J]. 公路交通科技, 2002(2):84-86. SUN Guoliang, YANG Yun. Construction monitoring technology of main bridge of Xiasha Bridge in Hangzhou[J]. Journal of Highway and Transportation Research and Development, 2002(2):84-86. [2] 花迎春, 张劲泉. 卡尔曼滤波法应用于悬索桥施工控制: 主缆架设阶段[J]. 公路交通科技, 1999, 16(2): 35-38. HUA Yingchun, ZHANG Jinquan. Application of the Kalman’s filtering method to the suspension bridge construction control the main cable erecting[J]. Journal of Highway and Transportation Research and Development, 1999, 16(2): 35-38. [3] 陈建阳, 向木生, 郭峰祥, 等. 大跨度桥梁施工控制中的神经网络方法[J]. 桥梁建设, 2001, 31(6): 42-45, 57. CHEN Jianyang, XIANG Musheng, GUO Fengxiang, et al. Nerval network method in construction control for long-span bridge[J]. Bridge Construction, 2001, 31(6): 42-45, 57. [4] 肖长礼. 水磨湾特大桥连续刚构施工监控[J]. 公路交通科技(应用技术版), 2006(3): 125-127. XIAO Changli. Construction monitoring of continuous rigid frame of Shuimowan Bridge[J]. Journal of Highway and Transportation Research and Development (Application Technology Edition), 2006(3): 125-127. [5] 张永水, 顾安邦. 灰色系统理论在连续刚构桥施工控制中的应用[J]. 公路, 2001, 46(6): 42-44. ZHANG Yongshui, GU Anbang. Application of grey system method to construction control for PC continuous rigid frame bridge[J]. Highway, 2001, 46(6): 42-44. [6] 孙永明, 荣学亮, 何晓东. 混凝土连续梁桥悬浇施工控制方法研究[J]. 重庆交通大学学报(自然科学版), 2015, 34(4): 28-33. SUN Yongming, RONG Xueliang, HE Xiaodong. Control method of concrete continuous bridge by cantilever casting construction[J]. Journal of Chongqing Jiaotong University (Natural Science), 2015, 34(4): 28-33. [7] 包仪军, 王常峰, 赵继康. 基于改进灰色预测GM(1, 1)模型的大跨度桥梁施工控制[J]. 铁道建筑, 2016, 56(2): 18-22. BAO Yijun, WANG Changfeng, ZHAO Jikang. Construction control over long-span bridge based on improved grey prediction GM(1, 1) model[J]. Railway Engineering, 2016, 56(2): 18-22. [8] 包龙生, 周子博, 于玲. 基于累积法的GM(1, 1)模型在桥梁施工监控上的应用[J]. 沈阳建筑大学学报(自然科学版), 2018, 34(2): 239-246. BAO Longsheng, ZHOU Zibo, YU Ling. Application on GM(1, 1) model based on cumulative method in bridge construction monitoring[J]. Journal of Shenyang Jianzhu University (Natural Science), 2018, 34(2): 239-246. [9] 姚荣. 桥梁施工监控技术中的灰色系统预测模型对比分析[J]. 中外公路, 2011, 31(5): 160-163. YAO Rong. Comparative analysis of grey system prediction models in bridge construction monitoring technology[J]. Journal of China & Foreign Highway, 2011, 31(5): 160-163. [10] 彭梦鸽. 基于灰色理论的悬浇连续梁施工挠度分析与预测[J]. 中外公路, 2018, 38(6): 131-135. PENG Mengge. Analysis and prediction of construction deflection of suspension casting continuous beam based on grey theory[J]. Journal of China & Foreign Highway, 2018, 38(6): 131-135. [11] 孟伟. 基于分数阶拓展算子的灰色预测模型[D]. 南京: 南京航空航天大学, 2015. MENG Wei. Grey prediction model based on fractional expansion operator[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2015. [12] WU L,LIU S, CHEN D, et al. Using gray model with fractional order accumulation to predict gas emission [J].Natural Hazards, 2014, 71(3): 2231-2236. [13] FANG S L, WU L F, FANG Z G, et al. Using fractional GM(1,1) model to predict the maintenance cost of weapon system[J].Journal of Grey System,2013,25(3):9-15. [14] 吴利丰, 刘思峰, 刘健. 灰色GM(1, 1)分数阶累积模型及其稳定性[J]. 控制与决策, 2014, 29(5): 919-924. WU Lifeng, LIU Sifeng, LIU Jian. GM(1, 1) model based on fractional order accumulating method and its stability[J]. Control and Decision, 2014, 29(5): 919-924. [15] 刘解放, 刘思峰, 吴利丰, 等. 分数阶反向累加离散灰色模型及其应用研究[J]. 系统工程与电子技术, 2016, 38(3): 719-724. LIU Jiefang, LIU Sifeng, WU Lifeng, et al. Fractional order reverse accumulative discrete grey model and its application[J]. Systems Engineering and Electronics, 2016, 38(3): 719-724. [16] 倪庆剑, 邢汉承, 张志政, 等. 粒子群优化算法研究进展[J]. 模式识别与人工智能, 2007, 20(3): 349-357. NI Qingjian, XING Hancheng, ZHANG Zhizheng, et al. Survey of particle swarm optimization algorithm[J]. Pattern Recognition and Artificial Intelligence, 2007, 20(3): 349-357. [17] 李军亮, 肖新平. 基于粒子群算法的GM(1，1)幂模型及应用[J]. 计算机工程与应用, 2008, 44(32): 15-18. LI Junliang, XIAO Xinping. GM(1, 1) power model based on Particle Swarm Optimization algorithm[J]. Computer Engineering and Applications, 2008, 44(32): 15-18. [18] 杨孝良, 周猛, 曾波. 灰色预测模型背景值构造的新方法[J]. 统计与决策, 2018, 34(19): 14-18. YANG Xiaoliang, ZHOU Meng, ZENG Bo. A new method for constructing background value of grey prediction model[J]. Statistics & Decision, 2018, 34(19): 14-18. [19] 党耀国, 王正新, 刘思峰. 灰色模型的病态问题研究[J]. 系统工程理论与实践, 2008, 28(1): 156-160. DANG Yaoguo, WANG Zhengxin, LIU Sifeng. Study on morbidity problem in grey model[J]. Systems Engineering-Theory & Practice, 2008, 28(1): 156-160.

Download

Share

COinS