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车辐式索桁架模态分析与试验研究
王泽强1,2, 刘占省3, 韩庆华1, 张维廉2, 周黎光2
1.天津大学 建筑工程学院, 天津 300072;2.北京市建筑工程研究院有限责任公司, 北京 100039;3.北京工业大学 建筑工程学院, 北京 100124
摘要:
通过对跨度为60 m的圆形车辐式索桁架屋盖按照1:10缩尺模型进行模态分析和模型试验,考察了拉索预应力、矢跨比及内外环直径比3个参数变化对结构自振特性的影响,对比分析了前4阶振型的试验结果与理论计算结果。结果发现:结构第1、2阶振型为反对称上下振动,第3阶为内环扭转振动,第4阶为内环相对扭转振动;试验和理论结果误差在10%以内,试验振型与理论振型基本吻合;前4阶振型的频率均在10 Hz以上,表明车辐式索桁架结构为低频动力响应,自振频率较小且分布密集;预应力水平越高,振型频率越大,则结构刚度越大;矢高增加,结构频率随之减小,结构更容易发生侧向失稳;内外环直径比越大,结构扭转刚度相对会减小,容易发生扭转失稳。
关键词:  车辐式索桁架  模态分析  正弦激振法  试验研究  参数分析
DOI:10.11835/j.issn.2096-6717.2019.074
分类号:TU461
基金项目:北京市科委科技新星计划(Z14110601814085);住房和城乡建设部科学技术项目计划(2016-R2-043)
Modal analysis and experimental study of spoke cable-trusses
Wang Zeqiang1,2, Liu Zhansheng3, Han Qinghua1, Zhang Weilian2, Zhou Liguang2
1.School of Civil Engineering, Tianjin University, Tianjin 300072, P. R. China;2.Beijing Building Construction Research Institute CO., LTD, Beijing 100036, P. R. China;3.College of Civil Engineering, Beijing University of Technology, Beijing 100124, P. R. China
Abstract:
Through the modal analysis and test of the 1:10 down-scale model test of 60 m circular spoke cable-trusses, the influences of three parameters including the cable prestress, rise to span ratio, as well as the diameter ratio of inner and outer ring on the natural vibration characteristics of the structure were investigated. The results obtained from test and theoretical formulation of the first four order modal were compared and analyzed. It can be seen that:The first and the second order vibration modes of the structure are antisymmetric upper and lower vibrations, the third order is the inner ring torsional vibration, and the fourth order is the relative torsional vibration of the inner ring. The frequency error is less than 10%, and the experimental mode of vibration is in good agreement with the theoretical mode. The frequencies of the first four modes are all larger than 10 Hz, indicating that the spoke cable truss structure is of low frequency dynamic response, and the natural frequency is small and the distribution is dense. When prestress level of the structure is higher, the modal frequency will increase, and the stiffness will also increase. With the increase of sagittal height, the structural frequency will decrease, and the structure is more prone to lateral instability. With the increase of the inner and outer ring diameter ratio, the torsion stiffness of structure will decrease and torsion instability will also occur.
Key words:  spoke cable-truss structure  modal analysis  sinusoidal excitation method  test research  parameter analysis
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