\r李 宁^{1, 2}，张孟孟¹，李忠献^{1, 2}

AuthorsHTML:\r李 宁^{1, 2}，张孟孟¹，李忠献^{1, 2}

AuthorsListE:\rLi Ning^{1, 2}，Zhang Mengmeng¹，Li Zhongxian^{1, 2}

AuthorsHTMLE:\rLi Ning^{1, 2}，Zhang Mengmeng¹，Li Zhongxian^{1, 2}

Unit:\r1. 天津大学建筑工程学院，天津 300072；
2. 滨海土木工程结构与安全教育部重点实验室(天津大学)，天津 300072

Unit_EngLish:\r1. School of Civil Engineering，Tianjin University，Tianjin 300072，China；
2. Key Laboratory of Coast Civil Engineering Structures Safety of Ministry of Education，Tianjin University，Tianjin 300072，China


Abstract_Chinese:\r为了准确地在结构模型试验中获得原型结构的全部力学特性，应在模型设计和制作中考虑结构非线性行为的发展．对于部分预应力混凝土受弯构件，本文提出了部分预应力混凝土受弯构件综合考虑承载力、挠度和预应力相似的协调相似准则，并分别按承载力相似和协调相似准则设计模型构件，进行了部分预应力混凝土简支梁四点弯曲有限元模拟分析．结果表明，两种相似模型对承载力均有较好的模拟效果，平均误差为1.23%；但对模拟变形方面，协调相似模型比承载力相似模型更准确，平均误差减小6.38%．进一步将部分预应力混凝土受弯构件协调相似准则拓展应用于配筋混凝土受弯构件，提出了适用于配筋混凝土受弯构件模型设计的协调相似准则并给出取值依据．以钢筋混凝土简支梁为例，根据配筋率相似、承载力相似以及基于挠度相似准则分别设计模型构件，进行简支梁四点弯曲试验及有限元分析．结果表明，基于挠度相似的模型设计方法相对于其他两种方法，获得的挠度测试结果与原型的相似程度最高；基于挠度相似的模型设计方法和基于承载力相似的模型设计方法在承载力方面相似程度接近，平均误差约6.67%，均好于基于配筋率相似的模型设计结果．由此说明提出的配筋混凝土受弯构件模型协调相似准则的准确性．

Abstract_English:\rTo accurately examine the mechanical properties of prototype structures in scaled model tests，the development of the nonlinear behavior of a specimen must be considered in the model design and fabrication. This paper proposes a coordinated similarity criterion for partially? restressed concrete flexural members based on bearing capacity，deflection，and prestress level. The model members were designed according to the geometry similarity rule and the coordinated similarity criterion，and four-point bending simulation of a simple supported beam was performed. The results showed there was little difference between the bearing capacities of the two scaled design methods，and the average error differed by 1.23%. However，the coordinated similarity model was more accurate for predicting the deformation of the prototype specimen，and the average error was reduced by 6.38%. The coordinated similarity criterion was then extended for general reinforced concrete members. The coordinated similarity rule was applied to the scale model of a reinforced concrete member，and the recommended parameter value was given. The four-point bending test and simulation analysis of a simply supported beam made of reinforced concrete were carried out，and the reinforcement ratio-based，bearing capacity-based，and deflection-based designs of the model members were considered. The results showed that the deflection-based model design is more similar to the prototype than the other two model designs. The deflection-based and bearing capacity-based model designs are similar in force capacity，and the average error was about 6.67%，which is better than the results of the model designed based on the reinforcement ratio similarity rule. This study proves the correctness of the coordinated similarity criterion for scaled models of reinforced concrete members subjected to bending load.

Keyword_Chinese:模型试验；量纲分析；协调相似；部分预应力混凝土；RC受弯构件

Keywords_English:model test；dimensional analysis；coordinated similarity；partially prestressed concrete(PPC)；RC flexure member


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