基于最小二乘法的预应力混凝土简支梁现存预应力识别  

Identification of Existing Prestress of Prestressed ConcreteSimply-supported Beam Based on Least Square Method

作　　者：陈震 仝瑶 陈璐 李晓克 赵顺波 CHEN Zhen;TONG Yao;CHEN Lu;LI Xiaoke;ZHAO Shunbo(School of Civil Engineering and Communication,North China University of Water Resources and Electric Power,Zhengzhou 450045,China;China Construction Seventh Engineering Division Co.Ltd,Zhengzhou 450004,China)

机构地区：[1]华北水利水电大学土木与交通学院,河南郑州450045 [2]中国建筑第七工程局有限公司,河南郑州450004

出　　处：《华北水利水电大学学报（自然科学版）》2021年第5期34-37,共4页Journal of North China University of Water Resources and Electric Power：Natural Science Edition

基　　金：国家重点研发计划项目(2017YFC0703900);国家自然科学基金项目(U2004184)。

摘　　要：预应力技术被广泛应用于桥梁工程,由于预应力钢筋不可避免地出现应力损失,其在服役期间的现存预应力值往往很难获得。通过建立外部集中荷载作用下预应力简支梁动力方程,基于模态叠加原理,提出采用最小二乘法求解动力方程,进而求出梁内现存预应力值。研究方法可为获取预应力混凝土简支梁现存预应力提供新思路,研究结论可为预应力桥梁设计与维护提供参考。Prestress technology is widely used in bridge engineering.Due to the inevitable stress loss of prestressed steel bars,it is often difficult to obtain the existing prestress value during service.In this paper,the dynamic equation of prestressed simply supported beam under external concentrated load is established.Based on the principle of modal superposition,the least square method is proposed to solve the dynamic equation,and then the existing prestress value in the beam is obtained.The research method can provide a new idea for obtaining the existing prestress of prestressed concrete simply supported beams,and the research conclusion can provide a reference for the design and maintenance of prestressed bridges.

关 键 词：简支梁 预应力识别 模态叠加 最小二乘法 噪声 

分 类 号：U448.27[建筑科学—桥梁与隧道工程]