中空夹层钢管混凝土柱外钢管轴压局部失稳的简化计算模型  

Simplified Analytical Model of Local Instability of the Outer Steel Tube of the Concrete⁃Filled Double⁃Skin Steel Tube Stub Columns under Axial Compression

作　　者：张宇嘉 戚承志 王泽帆[1,2] 姜凯松 龙渊腾 ZHANG Yujia;QI Chengzhi;WANG Zefan;JIANG Kaisong;LONG Yuanteng(School of Civil and Transportation Engineering,Beijing University of Civil Engineering and Architecture,Beijing 100044;Beijing International Cooperation Base for Transportation Infrastructure Construction,Beijing University of Civil Engineering and Architecture,Beijing 100044)

机构地区：[1]北京建筑大学土木与交通工程学院,北京100044 [2]北京建筑大学北京城市交通基础设施建设国际科技合作基地,北京100044

出　　处：《北京建筑大学学报》2024年第4期82-89,共8页Journal of Beijing University of Civil Engineering and Architecture

基　　金：国家自然科学基金项目(12172036,51774018);长江学者和创新团队发展计划项目(PCSIRT,IRT_17R06);北京建筑大学市属高校基本科研业务费专项资金资助(ZF16087)。

摘　　要：轴压作用下中空夹层钢管混凝土短柱的外钢管失稳临界应力计算公式还不够完善。分析认为,中空夹层钢管混凝土短柱的外钢管与实心钢管混凝土短柱的外钢管受力情况基本相同。因此,基于张耀春等的理论模型研究了中空夹层钢管混凝土短柱外钢管的局部失稳。构件夹层混凝土与外钢管条形单元相互作用模型取为文克尔弹性地基上的长梁模型,进而可以利用文克尔弹性地基梁理论计算外钢管的弯曲波长λ。根据实际工程中的钢管厚度t与圆柱构件横截面半径r之比远小于1∶t/r?1的情况,和外钢管失稳波长约为弯曲波长λ,简化了张耀春等模型中的理论推导。类比该模型,推导得出中空夹层钢管混凝土短柱外钢管局部失稳临界应力简化计算公式。该简化计算模型中局部失稳波长与其他学者的试验数据对比,平均误差为7.7%,临界应力计算值的相对误差值为2.7%,表明该简化计算公式可行,可以为工程实践提供参考。The formula for calculating the critical stress of the local instability of outer steel tube of concrete⁃filled double⁃skin steel tube stub column under axial compression is not perfect enough.According to the analysis,the stress of the outer steel pipe of the concrete⁃filled double⁃skin steel tube stub column is basically the same as that of the solid concrete⁃filled steel tube stub column.Therefore,based on the theoretical model of Zhang Yaochun et al.,the local instability of outer steel tube of the concrete⁃filled double⁃skin steel tube stub column is studied.The interaction model between the sandwich concrete and the outer steel tube strip element is taken as the model of long beam on the Winkel elastic foundation,and then the calculation formula of the bending wavelengthλin the Wenkel elastic foundation beam is introduced.According to the fact that the ratio of the thickness t of the steel tube to the cross⁃sectional radius r of the cylindrical component in the actual engineering is much less than 1∶t/r≪1,and the wavelength of the instability of the outer steel pipe is about the bending wavelengthλ,the theoretical derivation in the model of Zhang Yaochun et al.is simplified.By analogy with the model of Zhang Yaochun et al.,a simplified calculation formula for the critical stress of local instability of the concrete⁃filled double⁃skin steel tube stub outer steel tube is derived.Compared with the experimental data of other scholars,the average error of the local instability wavelength in the simplified calculation model is 7.7%,and the relative error value of the calculated value of critical stress is 2.7%,which indicates that the simplified calculation formula is feasible and can provide reference for engineering practice.

关 键 词：中空夹层钢管 局部失稳 临界应力 钢管混凝土 失稳波长 

分 类 号：TU33[建筑科学—结构工程]