基于相似理论的钢结构模型实验结果修正:以空腹梁为例  

Revision of Experimental Results of Steel Structure Model Based on Similarity Theory:An Example of a Hollow Beam

作　　者：郑刚 肖建春[1,2] 沈睿麟 陈顺云 马克俭 ZHENG Gang;XIAO Jian-chun;SHEN Rui-lin;CHEN Shun-yun;MA Ke-jian(Research Center of Space Structures,Guizhou University,Guiyang 550025,China;Key Laboratory of Structural Engineering of Guizhou Province,Guizhou University,Guiyang 550025,China)

机构地区：[1]贵州大学,空间结构研究中心,贵阳550025 [2]贵州大学,贵州省结构工程重点实验室,贵阳550025

出　　处：《科学技术与工程》2024年第27期11795-11804,共10页Science Technology and Engineering

基　　金：国家自然科学基金(50978064,Z091015);贵州省自然科学基金(黔科合基础[2017]1036)。

摘　　要：以相似理论设计大跨度钢结构缩尺模型试验时常因材料及尺寸等多参数同时畸变的问题而无法正确反映原型结构力学性能。提出了基于响应面法的响应面预测模型对畸变参数进行修正,并考虑材料加工难度及制作成本,基于相似理论设计了三种不同材料制作的1/2空腹梁缩尺模型且梁截面厚度产生畸变,对多参数畸变模型修正前后的误差进行分析。结果表明:建立的响应面方程具有很好的拟合精度和对未知参数的预测能力,在各级均布荷载作用下,多参数畸变的钢空腹梁缩尺模型通过数值模拟及等效刚度理论计算后,未经修正的缩尺模型映射原型结构的力学性能误差较大,而经过建立的响应面模型修正后,误差显著减小,多参数畸变的缩尺模型能够有效地预测原型结构的力学性能。The scale model test of long-span steel structure designed by the similarity theory often fails to reflect the mechanical properties of the prototype structure because of the simultaneous distortion of multiple parameters such as material and size.A response surface prediction model based on response surface method was proposed to correct the distortion parameters,and considering the difficulty of material processing and production cost,based on the similarity theory,a 1/2 hollow beam reduction model made of three different materials was designed and the beam section thickness was distorted.The errors before and after the correction of the multi-parameter distortion model were analyzed.The results show these as follow.The established response surface equation has good fitting accuracy and the ability to predict unknown parameters.Under the action of all levels of uniform load,after numerical simulation and equivalent stiffness theoretical calculation of the multi-parameter distortion steel hollow beam scaling model,the uncorrected scaling model has a large error in mapping the mechanical properties of the prototype structure,while the corrected response surface model significantly reduces the error.The scaled model with multi-parameter distortion can effectively predict the mechanical properties of prototype structures.

关 键 词：空腹梁 相似理论 不同材料 畸变模型 响应面法 

分 类 号：TU328[建筑科学—结构工程]