板片空间结构初始缺陷的动力稳定性影响分析
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摘要
对板片空间结构体系的研究大都局限于静力载荷工况,结构在动力载荷作用下的稳定性及失效特征研究仍相对缺乏.板片空间钢结构先天存在各样缺陷,而缺陷对结构稳定性的影响不可忽略.本文引入拉丁超立方法,结合Budiansky-Roth准则,提出适用于求解含初始缺陷结构动力临界荷载的方法,对板片空间结构初始缺陷的动力稳定性开展研究.研究表明,相比于其它抽样方法,拉丁超立方法能显著减少样本数,有效提高计算效率.针对典型的板片空间结构,施加不同方向的阶跃荷载,分析了节点位置偏差缺陷、杆件截面尺寸缺陷以及板片厚度缺陷对板片空间结构临界承载力的影响.结果显示,节点位置偏差缺陷对该结构临界承载力影响最为显著,其它两类缺陷影响甚微.
Researches on sheet space structures are mostly limited to static load cases. Efforts on structures under dynamic loads are rather scarce. Initial imperfection inevitably exists in sheet space structures. Effects of the imperfection on the structural stability can not be ignored. By combining the Latin hyper-cube sampling method and Budiansky-Roth criterion, a procedure for solving the critical dynamic load of the structures with imperfection is proposed. Dynamic stability analysis on the sheet space structures are carried out. The results show that, compared with other existing methods, the proposed method can significantly reduce the number of samples, leading to improvement of the computational efficiency. A typical case of the sheet space structure under a variety of step loads is studied. The influences of imperfections in the nodal position, sectional areas and the sheet thickness on the critical structural bearing loads are investigated. The results show that, imperfection in nodal position has an appreciable influence on the critical structural bearing capacity, while effects of the other two factors are rather negligible.
Researches on sheet space structures are mostly limited to static load cases. Efforts on structures under dynamic loads are rather scarce. Initial imperfection inevitably exists in sheet space structures. Effects of the imperfection on the structural stability can not be ignored. By combining the Latin hyper-cube sampling method and Budiansky-Roth criterion, a procedure for solving the critical dynamic load of the structures with imperfection is proposed. Dynamic stability analysis on the sheet space structures are carried out. The results show that, compared with other existing methods, the proposed method can significantly reduce the number of samples, leading to improvement of the computational efficiency. A typical case of the sheet space structure under a variety of step loads is studied. The influences of imperfections in the nodal position, sectional areas and the sheet thickness on the critical structural bearing loads are investigated. The results show that, imperfection in nodal position has an appreciable influence on the critical structural bearing capacity, while effects of the other two factors are rather negligible.
引文
[1]ZHAO H,MA J,ZHAO C,et al.Sheet space structure system:structural principles and analysis method[J].International Journal of Space Structures,1999,14(4):269-279.
[2]沈世钊.网壳结构的稳定性[J].土木工程学报,1999,32(6):11-19.
[3]李永梅,胡琨,张微敬.考虑损伤累积效应的单层球面网壳动力稳定[J].湖南大学学报:自然科学版,2014,41(6):16-21.
[4]LóPEZ A,PUENTE I,SERNA M A.Direct evaluation of the buckling loads of semi-rigidly jointed single-layer latticed domes under symmetric loading[J].Engineering Structures,2007,29(1):101-109.
[5]郭海山,沈世钊.单层网壳结构动力稳定性分析方法[J].建筑结构学报,2003,24(3):1-9.
[6]蔡健,贺盛,姜正荣,等.单层网壳结构稳定性分析方法研究[J].工程力学,2015,32(7):103-110.
[7]贺拥军,刘旦,周绪红.单层倒悬链型柱面网壳的非线性稳定性研究[J].湖南大学学报:自然科学版,2012,39(6):1-6.
[8]殷志祥,李会军.大跨度拉索预应力带肋单层球面网壳的稳定性及应用研究[J].工程力学,2008,25(8):48-52.
[9]唐敢,尹凌峰,马军,等.单层网壳结构稳定性分析的改进随机缺陷法[J].空间结构,2004,10(4):44-47.
[10]BORRI C,SPINELLI P.Buckling and post-buckling behaviour of single layer reticulated shells affected by random imperfections[J].Computers&Structures,1988,30(4):937-943.
[11]ZHAO H,MA J,ZHAO C,et al.Key points in design of the sheet space structure system[J].International Journal of Space Structures,2000,15(3):233-238.
[12]刘承宗.板片空间结构非线性时程动力稳定问题分析[D].南京:东南大学,1999.
[13]靳天姣,郭小明,仇堂堂.凯威特型板片空间结构在阶跃荷载作用下动力稳定性分析[J].钢结构,2013,9:4-7.
[14]俞媛,郭小明,靳天姣,等.考虑湍流模型的板片空间结构风荷载下流固耦合模拟[J].计算力学学报,2013,S1:155-158.
[15]赵国藩,金伟良,贡金鑫.结构可靠度理论[M].北京:中国建筑工业出版社,2000.
[16]MCKAY M D,BECKMAN R J,CONOVER W J.A comparison of three methods for selecting values of input variables in the analysis of output from a computer code[J].Technometrics,2000,42(1):55-61.
[17]OLSSON A,SANDBERG G,DAHLBLOM O.On Latin hypercube sampling for structural reliability analysis[J].Structural Safety,2003,25(1):47-68.
[18]方开泰.均匀试验设计的理论,方法和应用--历史回顾[J].数理统计与管理,2004,23(3):69-80.
[19]王策,沈世钊.单层球面网壳结构动力稳定分析[J].土木工程学报,2000,33(6):17-24.
[20]王勖成.有限单元法[M].北京:清华大学出版社,2003.
[21]李会军.大跨度空间网格结构的可靠度、敏感性及失效过程研究[D].大连:大连理工大学,2011.
[22]GB/T 17395-2008.无缝钢管尺寸、外形、重量及允许偏差[S].北京:中国标准出版社,2008.
[23]苑宏宇,叶继红,沈世钊,等.单层球面网壳的最不利简单动荷载分析[J].建筑科学与工程学报,2007,24(2):13-18.
[24]GB/T 709-2006.热轧钢板和钢带的尺寸、外形、重量及允许偏差[S].北京:中国标准出版社,2006.
[2]沈世钊.网壳结构的稳定性[J].土木工程学报,1999,32(6):11-19.
[3]李永梅,胡琨,张微敬.考虑损伤累积效应的单层球面网壳动力稳定[J].湖南大学学报:自然科学版,2014,41(6):16-21.
[4]LóPEZ A,PUENTE I,SERNA M A.Direct evaluation of the buckling loads of semi-rigidly jointed single-layer latticed domes under symmetric loading[J].Engineering Structures,2007,29(1):101-109.
[5]郭海山,沈世钊.单层网壳结构动力稳定性分析方法[J].建筑结构学报,2003,24(3):1-9.
[6]蔡健,贺盛,姜正荣,等.单层网壳结构稳定性分析方法研究[J].工程力学,2015,32(7):103-110.
[7]贺拥军,刘旦,周绪红.单层倒悬链型柱面网壳的非线性稳定性研究[J].湖南大学学报:自然科学版,2012,39(6):1-6.
[8]殷志祥,李会军.大跨度拉索预应力带肋单层球面网壳的稳定性及应用研究[J].工程力学,2008,25(8):48-52.
[9]唐敢,尹凌峰,马军,等.单层网壳结构稳定性分析的改进随机缺陷法[J].空间结构,2004,10(4):44-47.
[10]BORRI C,SPINELLI P.Buckling and post-buckling behaviour of single layer reticulated shells affected by random imperfections[J].Computers&Structures,1988,30(4):937-943.
[11]ZHAO H,MA J,ZHAO C,et al.Key points in design of the sheet space structure system[J].International Journal of Space Structures,2000,15(3):233-238.
[12]刘承宗.板片空间结构非线性时程动力稳定问题分析[D].南京:东南大学,1999.
[13]靳天姣,郭小明,仇堂堂.凯威特型板片空间结构在阶跃荷载作用下动力稳定性分析[J].钢结构,2013,9:4-7.
[14]俞媛,郭小明,靳天姣,等.考虑湍流模型的板片空间结构风荷载下流固耦合模拟[J].计算力学学报,2013,S1:155-158.
[15]赵国藩,金伟良,贡金鑫.结构可靠度理论[M].北京:中国建筑工业出版社,2000.
[16]MCKAY M D,BECKMAN R J,CONOVER W J.A comparison of three methods for selecting values of input variables in the analysis of output from a computer code[J].Technometrics,2000,42(1):55-61.
[17]OLSSON A,SANDBERG G,DAHLBLOM O.On Latin hypercube sampling for structural reliability analysis[J].Structural Safety,2003,25(1):47-68.
[18]方开泰.均匀试验设计的理论,方法和应用--历史回顾[J].数理统计与管理,2004,23(3):69-80.
[19]王策,沈世钊.单层球面网壳结构动力稳定分析[J].土木工程学报,2000,33(6):17-24.
[20]王勖成.有限单元法[M].北京:清华大学出版社,2003.
[21]李会军.大跨度空间网格结构的可靠度、敏感性及失效过程研究[D].大连:大连理工大学,2011.
[22]GB/T 17395-2008.无缝钢管尺寸、外形、重量及允许偏差[S].北京:中国标准出版社,2008.
[23]苑宏宇,叶继红,沈世钊,等.单层球面网壳的最不利简单动荷载分析[J].建筑科学与工程学报,2007,24(2):13-18.
[24]GB/T 709-2006.热轧钢板和钢带的尺寸、外形、重量及允许偏差[S].北京:中国标准出版社,2006.