索杆张力结构刚度监测的静力位移扩展法误差控制策略  

Error control strategy of static displacement expansion method for stiffness monitoring of cable-strut tensile structures

作　　者：伍晓顺 史亚琴 张雅儒 陈剑毅 李磊[1,2] WU Xiaoshun;SHI Yaqin;ZHANG Yaru;CHEN Jianyi;LI Lei(School of Civil and Surveying&Mapping Engineering(Nanchang),Jiangxi University of Science and Technology,Nanchang 330013,China;Nanchang Key laboratory of Virtual Digital Factory and Cultural Communications,Jiangxi University of Science and Technology,Nanchang 330013,China)

机构地区：[1]江西理工大学土木与测绘工程学院(南昌),江西南昌330013 [2]江西理工大学南昌市虚拟数字工程与文化传播重点实验室,江西南昌330013

出　　处：《建筑结构学报》2023年第9期162-170,共9页Journal of Building Structures

基　　金：国家自然科学基金项目(51868026);江西省自然科学基金项目(20202BAB204028);江西理工大学大学生创新创业训练计划(DC2021-068)。

摘　　要：贡献模态法是一种适用于既有索杆张力结构刚度监测的静力位移扩展方法。为了提高静力位移的测试精度,提出一种针对每一阶贡献模态广义位移进行专门测量的误差控制策略。采用蒙特卡洛法分析贡献模态广义位移的误差上界分布规律,发现贡献模态广义位移越大其估计误差上界越小。以最大化指定荷载某阶贡献模态的广义位移作为优化目标,采用Jaya算法寻找包含该阶贡献模态的最优测试荷载(包括作用位置和大小)。将最优测试荷载施加于实际结构进行静力测试,得到最优测试荷载作用下该阶贡献模态广义位移的估计值,再采用间接测量的方式进一步计算出指定荷载作用下该阶贡献模态的广义位移。针对指定荷载各阶贡献模态依次展开测试荷载优化以及广义位移间接测量,可实现指定荷载作用下静力位移的测试及其误差控制。某索穹顶数值分析结果表明,文中方法可以大幅降低竖向荷载作用下静力位移的测试误差上界,从而为索杆张力结构的挠度校核、模型修正、预应力识别等后续工作提供较多的高质量测试数据。As a static displacement expansion method,the contribution mode method(CM)is applicable to the stiffness monitoring of existing cable-strut tensile structures.To improve the testing accuracy of static displacements,a error control strategy is suggested by specially testing the generalized displacements of each contribution mode.The Monte Carlo technique is used to investigate the upper bound distributions of generalized displacements of contribution modes.It is found that the larger the generalized displacement of a contribution mode is,the smaller the upper bound of its estimation error will usually be.With maximizing the generalized displacement of a contribution mode under a prescribed load set as the optimization objective,the best testing load(including the locations and amplitudes)which also contains the same contribution mode is searched by the Jaya algorithm.By applying the best testing load to the real structure for a static test,the estimate of the generalized displacement of the contribution mode under the best testing load is obtained.Then the generalized displacement of the contribution mode under the prescribed load is further indirectly calculated.The testing load optimization according to the contribution mode of the specified load and the indirect measurement of the generalized displacements are sequentially conducted.In this way,the static displacement testing under the specified load and the error control can be realized.The numerical analysis of a cable dome shows that the proposed method can greatly reduce the upper bounds of static displacement testing errors under vertical loads.It can provide more high-quality static testing data for follow-up works such as deflection checking,model updating and pretension identification,etc.,for cable-strut tensile structures.

关 键 词：响应重构 静力测试 预应力识别 结损伤识别 振型扩展 

分 类 号：TU359[建筑科学—结构工程] TU317.5