立杆初弯曲对满堂支撑架稳定承载力的影响
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摘要
为研究立杆初弯曲对满堂扣件式钢管支撑架稳定承载力的影响,采用随机缺陷模态法引入立杆的初弯曲。以某一扣件式满堂支撑架为例,考察立杆初弯曲方向角和幅值随机变量对满堂扣件式钢管支撑架的影响,进而提出基于拉丁超立方抽样的改进随机缺陷模态法。采用上述方法,分别分析了不同缺陷最大幅值、样本数量和直角扣件抗扭刚度情况下,立杆初弯曲对满堂扣件式钢管支撑架稳定承载力的影响。结果表明:随着缺陷最大幅值的增大,立杆初弯曲将更为显著地降低结构的承载力,立杆的初弯曲对满堂扣件式钢管支撑架稳定承载力的影响不可忽略;采用拉丁超立方法对满堂支撑架进行稳定分析时,样本数量应不少于立杆根数的两倍;直角扣件抗扭刚度越大,立杆初弯曲对满堂扣件式钢管支撑架的影响更为显著。
In order to study the effect of initial curvature of upright tubes on the stability bearing capacity of fastener steel tube full house supports( FTFS),the random imperfection mode method is proposed,and the initial curvature of uprights tubes of FTFS is introduced. Taking a typical FTFS as an example,the influence of direction angle and amplitude random variables of the initial curvature on the stability bearing capacity was investigated. Furthermore,based on Latin Hypercube Sampling( LHS),the improved random imperfection mode method is established. Then,the stability bearing capacity affected by the initial curvature is investigated under different parametric conditions. These parameters include the maximum amplitudes of initial curvature,the sample number of random defect and the torsional stiffness of right-angle couplers. The results show that the stability bearing capacity of FTFS decreases obviously with the maximum amplitudes of initial curvature for uprighttubes,the influence of initial curvature of upright tubes cannot be neglected; in the LHS technique,the sample number of random defect should be not less than two times of the sum of upright tubes;the influence of initial curvature of upright tubes on FTFS increases with the torsional stiffness of right-angle couplers.
In order to study the effect of initial curvature of upright tubes on the stability bearing capacity of fastener steel tube full house supports( FTFS),the random imperfection mode method is proposed,and the initial curvature of uprights tubes of FTFS is introduced. Taking a typical FTFS as an example,the influence of direction angle and amplitude random variables of the initial curvature on the stability bearing capacity was investigated. Furthermore,based on Latin Hypercube Sampling( LHS),the improved random imperfection mode method is established. Then,the stability bearing capacity affected by the initial curvature is investigated under different parametric conditions. These parameters include the maximum amplitudes of initial curvature,the sample number of random defect and the torsional stiffness of right-angle couplers. The results show that the stability bearing capacity of FTFS decreases obviously with the maximum amplitudes of initial curvature for uprighttubes,the influence of initial curvature of upright tubes cannot be neglected; in the LHS technique,the sample number of random defect should be not less than two times of the sum of upright tubes;the influence of initial curvature of upright tubes on FTFS increases with the torsional stiffness of right-angle couplers.
引文
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[14]CHEN W F,ATSUTA T.梁柱分析与设计[M].周绥平,陆楸,韩大建,译.北京:人民交通出版社,1997:340-341.
[15]LIU H B,ZHAO Q H,WANG X D,et al.Experimental and analytical studies on the stability of structural steel tube and coupler scaffolds without X-bracing[J].Engineering Structures,2010,32(4):1003-1015.
[16]谢中华.MATLAB统计分析与应用:40个案例分析(第2版)[M].北京:北京航空航天大学出版社,2015.
[17]OLSSON A M J,SANDBERG G E.Latin hypercube sampling for stochastic finite element analysis[J].Journal of Engineering Mechanics,2002,128(1):121-125.
[18]蒋正文,万水,李明鸿,等.结构可靠度分析中的混合模拟法及应用[J].浙江大学学报:工学版,2015,49(4):782-791.
[19]熊学玉,顾炜.基于改进LHS方法的预应力混凝土结构长期性能概率分析[J].工程力学,2010,27(4):163-168.
[2]袁雪霞,金伟良,鲁征,等.扣件式钢管支模架稳定承载力研究[J].土木工程学报,2006,39(5):43-60.
[3]HOMES M,HINDSON D.Structural behaviour of load bearing falsework[J].Proceedings of the Institution of Civil Engineers(London).Part1-Design&Construction,1979,67(2).
[4]杜荣军.扣件式钢管模板高支撑架的设计和使用安全.施工技术[J],2002,31(3):3-8.
[5]PENG J L,WU C W,CHAN S L,et al.Experimental and numerical studies of practical system scaffolds[J].Journal of Constructional Steel Research,2013,91:64-75.
[6]CHANDRANGSU T,RASUMSSEN K J R.Structural modeling of support scaffold systems[J].Journal of Constructional Steel Research,2011,67(5):866-875.
[7]ZHANG H,CHANDRANGSU T,RASUMSSEN K J R.Probabilistic study of the strength of steel scaffold systems[J].Structural Safety,2010,32(6):393-401.
[8]陆征然,陈志华,王小盾,等.扣件式钢管满堂支撑体系稳定性的有限元分析及试验研究[J].土木工程学报,2012,45(1):49-60.
[9]胡长明,梅源,王雪艳,等.构造因素对高大模板支撑体系稳定承载力影响的研究[J].建筑技术,2009,40(2):143-146.
[10]王兵,胡长明,葛召深,等.考虑初始缺陷的扣件式钢管模板支架极限承载力研究[J].西安建筑科技大学学报(自然科学版),2012,44(6):792-798.
[11]OYESANYA M O.Influence of extra terms on asymptotic analysis of imperfection sensitivity of toroidal shell segment with random imperfection[J].Mechanics Research Communications,2005,32(4):444-453.
[12]李晓娟,王新堂,顾强,等.考虑初弯曲的半刚接钢框架稳定承载力分析[J].工程力学,2009,26(3):113-117.
[13]严佳川,范峰,曹正罡.杆件初弯曲对网壳结构弹塑性稳定性能影响研究[J].建筑结构学报,2012,133(12):63-71.
[14]CHEN W F,ATSUTA T.梁柱分析与设计[M].周绥平,陆楸,韩大建,译.北京:人民交通出版社,1997:340-341.
[15]LIU H B,ZHAO Q H,WANG X D,et al.Experimental and analytical studies on the stability of structural steel tube and coupler scaffolds without X-bracing[J].Engineering Structures,2010,32(4):1003-1015.
[16]谢中华.MATLAB统计分析与应用:40个案例分析(第2版)[M].北京:北京航空航天大学出版社,2015.
[17]OLSSON A M J,SANDBERG G E.Latin hypercube sampling for stochastic finite element analysis[J].Journal of Engineering Mechanics,2002,128(1):121-125.
[18]蒋正文,万水,李明鸿,等.结构可靠度分析中的混合模拟法及应用[J].浙江大学学报:工学版,2015,49(4):782-791.
[19]熊学玉,顾炜.基于改进LHS方法的预应力混凝土结构长期性能概率分析[J].工程力学,2010,27(4):163-168.