面向桥梁工程的响应面技术在有限元模型修正中的应用探讨
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摘要
以某一桥梁模型为对象,基于响应面模型的损伤识别法对桥梁结构的模型进行优化求解,采用D最优设计进行桥梁结构模型修正,选择时域和频域特征参数作为拟合响应面输出。利用design expert 8.0软件进行方差分析,对参数进行显著性检验,剔除样无关变量,对剩余参数进行回归分析拟合二次多项式响应模型。研究结果表明:通过响应面技术对初始有限元模型进行修正,对比修正值与实测值的频率取值与实测值趋于一致,频率相对误差值在1%以内,挠度修正误差在2%以内,修正精度满足实际使用要求。
Taking a bridge model as an object,based on the response surface model of bridge structure damage identification method of model optimization solution,using D optimal design of bridge structure model updating,select the time domain and frequency domain feature parameters as output response surface fitting. The variance analysis was carried out by using the software design expert 8. 0,and the parameters were tested statistically,the sample independent variables were excluded,and the residual parameters were analyzed to fit the quadratic polynomial response model. The results show that through the response surface technology to modify the initial finite element model,compare the revised and the frequency values and measured values of the measured values consistent,frequency relative error value is within 1%,the deflection correction error within 2%,correction precision meet the requirements of actual use.
Taking a bridge model as an object,based on the response surface model of bridge structure damage identification method of model optimization solution,using D optimal design of bridge structure model updating,select the time domain and frequency domain feature parameters as output response surface fitting. The variance analysis was carried out by using the software design expert 8. 0,and the parameters were tested statistically,the sample independent variables were excluded,and the residual parameters were analyzed to fit the quadratic polynomial response model. The results show that through the response surface technology to modify the initial finite element model,compare the revised and the frequency values and measured values of the measured values consistent,frequency relative error value is within 1%,the deflection correction error within 2%,correction precision meet the requirements of actual use.
引文
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[13]代汉超,石雪飞,阮欣.基于改进响应面的桥梁抗弯刚度修正[J].中南大学学报(自然科学版),2014,45(07):2387-2393.
[14]梁鹏,李斌,王秀兰,等.基于桥梁健康监测的有限元模型修正研究现状与发展趋势[J].长安大学学报:自然科学版,2014,34(04):52-61.
[15]Q.T.Guo,L.M.Zhang.Finite element model updating based on response surface methodology[C]//Proceeding of the 22nd International Modal Analysis Conference.2007(04):604-608.
[16]徐腾飞,向天宇,白雪濛,等.基于分片响应面的钢筋混凝土梁变形随机模拟[J.工程力学,2014,31(11):170-174.
[17]郭月红,石艳迟,许有俊.基于响应面法分析桥梁结构的可靠度及风险概率预测[J].钢结构,2016,31(12):33-36.
[18]方兴.基于动力优化与静力效应校准组合的铁路钢桁梁桥有限元模型修正[J].铁道建筑,2016(11):15-19.
[19]刘小燕,王玮玮,张峰,等.预应力混凝土箱梁竖向预应力钢筋有效预应力检测研究[J].公路工程.2013(03):184-187.
[2]宗周红,褚福鹏,牛杰.基于响应面模型修正的桥梁结构损伤识别方法[J].土木工程学报,2013,46(02):115-122.
[3]张坤,雷俊卿,段志.基于改善响应面法钢箱叠合拱桥梁端转角的可靠度分析[J].北京交通大学学报,2013,37(04):30-34.
[4]李广慧,刘晨宇,托拉·欧尼弗里奥.响应面方法及其在桥梁体系可靠度分析中的应用[J].郑州大学学报:工学版,2004(01):16-21.
[5]张军,邓旭平,包龙生.响应面法在船撞桥可靠度分析中的应用[J].石家庄铁道大学学报:自然科学版,2015,28(01):28-33.
[6]魏锦辉,任伟新.基于响应面方法的桥梁静动力有限元模型修正[J].公路交通科技,2015,32(02):68-73.
[7]李祥俊,袁炜,殷新锋.高墩连续桥有限元模型更新技术研究[J].公路与汽运,2015(05):146-150.
[8]Wei-Xin Ren,Hua-Bing Chen.Finite element model updating in structural dynamics by using the response surface method[J].Engineering Structures.2017,41(02):338-343.
[9]张振浩,杨伟军.基于复模态随机响应的钢筋混凝土梁桥抗震可靠度分析[J].桥梁建设,2014,44(01):69-74.
[10]邓毅,杨斌斌,樊剑,等.基于响应面法的隔震连续梁桥地震易损性分析[J].地震工程与工程振动,2014,34(02):172-179.
[11]Brownjohn J M W,Dumanoglu A A,Severn R T.Ambient vibration survey of the faith sultan Mehmet(second bosporus)suspension bridge[J].Earthquake Engineering and Structural Dynamics.2015,43(10):57-66.
[12]叶文亚,卢照辉,毛雨桥,等.基于PDS模块技术的钢筋混凝土拱桥可靠度计算[J].公路交通科技,2014,31(04):73-77.
[13]代汉超,石雪飞,阮欣.基于改进响应面的桥梁抗弯刚度修正[J].中南大学学报(自然科学版),2014,45(07):2387-2393.
[14]梁鹏,李斌,王秀兰,等.基于桥梁健康监测的有限元模型修正研究现状与发展趋势[J].长安大学学报:自然科学版,2014,34(04):52-61.
[15]Q.T.Guo,L.M.Zhang.Finite element model updating based on response surface methodology[C]//Proceeding of the 22nd International Modal Analysis Conference.2007(04):604-608.
[16]徐腾飞,向天宇,白雪濛,等.基于分片响应面的钢筋混凝土梁变形随机模拟[J.工程力学,2014,31(11):170-174.
[17]郭月红,石艳迟,许有俊.基于响应面法分析桥梁结构的可靠度及风险概率预测[J].钢结构,2016,31(12):33-36.
[18]方兴.基于动力优化与静力效应校准组合的铁路钢桁梁桥有限元模型修正[J].铁道建筑,2016(11):15-19.
[19]刘小燕,王玮玮,张峰,等.预应力混凝土箱梁竖向预应力钢筋有效预应力检测研究[J].公路工程.2013(03):184-187.