大跨弦支穹顶结构的振动模态与地震响应分析
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摘要
针对常州市体育中心体育馆屋盖采用的大跨椭球型弦支穹顶结构,利用大型有限元软件ANSYS建立了三维空间有限元模型。基于子空间迭代法求解了结构的振动模态,采用考虑结构静力初始状态的非线性动力分析方法,分析了结构的地震响应。研究结果表明:大跨椭球形弦支穹顶结构的自振频率比较密集,一阶振型为结构沿短轴方向的反对称振动;结构在地震激励下的位移、应力和索力变化均较小;有杆件初始弯曲时结构的最大响应增加,最大误差不超过5%;从整体上看,大跨椭球形弦支穹顶结构具有较高的整体刚度和良好的抗震性能。
Pointing to the long-span ellipse suspend-dome structure adopted in Changzhou Sport Center,the finite element software ANSYS is adopted to construct the three-dimensional finite element analysis model.Based on the subspace iteration method,the vibration model of the structure is solved.Then,the nonlinear dynamic analysis method considering the initial static state is adopted to analyze the structural seismic response.Results show that the self-vibration frequencies are highly concentrated,and the first vibration model is asymmetric style in the short axis direction;the displacement,stress and cable forces under earthquake excitation is relatively small;when the member initial curvature exists,the maximum structural response increases,but the maximum error does not exceed 5%.Generally,the long-span ellipse suspend-dome structure has high integral stiffness and good seismic performance.
Pointing to the long-span ellipse suspend-dome structure adopted in Changzhou Sport Center,the finite element software ANSYS is adopted to construct the three-dimensional finite element analysis model.Based on the subspace iteration method,the vibration model of the structure is solved.Then,the nonlinear dynamic analysis method considering the initial static state is adopted to analyze the structural seismic response.Results show that the self-vibration frequencies are highly concentrated,and the first vibration model is asymmetric style in the short axis direction;the displacement,stress and cable forces under earthquake excitation is relatively small;when the member initial curvature exists,the maximum structural response increases,but the maximum error does not exceed 5%.Generally,the long-span ellipse suspend-dome structure has high integral stiffness and good seismic performance.
引文
[1]张营营,张其林,陈鲁,等.连云港体育馆弦支穹顶结构预应力施工监测[J].振动、测试与诊断,2010,31(2):181-183.Zhang Yingying,Zhang Qilin,Chen Lu,et al.Structural prestress monitoring of Lianyungang gymnasium suspen-dome[J].Journal of Vibration,Measurement&Diagnosis,2010,31(2):181-183.(in Chinese)
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[3]Mamoru K,Masaru A,Ikuo T.Design,tests and realization of suspend-dome system[J].Journal of International Association of Shell and Space Structures,1999,40(131):179-192.
[4]Mamoru K,Masaru A,Hatato T,et al.Structural tests on a full-size suspend-dome structure[C]∥Proceedings of IASS Symposium.Atlanta:[s.n.],1994:383-392.
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[8]Zhou Zhen,Feng Yulong,Meng Shaoping,et al.Form analysis of suspen-dome structures considering construction process[C]∥Proceedings of Seventh International Conference on Advances in Steel Structures.Nanjing:[s.n.],2012:1322-1330.
[9]崔晓强,郭彦林.弦支穹顶结构的抗震性能研究[J].地震工程与工程振动,2005,25(1):67-75.Cui Xiaoqiang,Guo Yanlin.Seismic behaviors of suspen-dome structure[J].Earthquake Engineering and Engineering Vibration,2005,25(1):67-75.(in Chinese)
[10]张志宏,张明山,董石麟.弦支穹顶结构动力分析[J].计算力学学报,2005,22(6):646-650.Zhang Zhihong,Zhang Mingshan,Dong Shilin.Dynamic analysis of suspend-dome[J].Chinese Journal of Computational Mechanics,2005,22(6):646-650.(in Chinese)
[11](美)乔普拉.结构动力学-理论及其在地震工程中的应用[M].3版.谢礼立,吕大刚,译.北京:高等教育出版社,2009:300.
[12]Zhou Zhen,Meng Shaoping,Wu Jing.Stability analysis of prestressed space truss structures based on the imperfect truss element[J].International Journal of Steel Structures,2009,9(3):253-260.
[13]周臻.预应力空间网格结构的分析理论与优化设计[D].南京:东南大学,2007.
[14]周臻,吴京,孟少平.基于初弯曲单元的某弦支穹顶非线性稳定承载力分析[J].计算力学学报,2010,27(4):721-726.Zhou Zhen,Wu Jing,Meng Shaoping.Nonlinear stability bearing capacity analysis for suspend dome based on the initial curvature elements[J].Chinese Computational Mechanics,2010,27(4):721-726.(in Chinese)
[2]Kitipornchai S,Kang W J,Lam H F,et al.Factors affecting the design and construction of Lamella suspen-dome systems[J].Journal of Constructional Steel Research,2005,61(6):764-785.
[3]Mamoru K,Masaru A,Ikuo T.Design,tests and realization of suspend-dome system[J].Journal of International Association of Shell and Space Structures,1999,40(131):179-192.
[4]Mamoru K,Masaru A,Hatato T,et al.Structural tests on a full-size suspend-dome structure[C]∥Proceedings of IASS Symposium.Atlanta:[s.n.],1994:383-392.
[5]Mamoru K,Ikuo T,Chen P.Optimum shapes of a cable dome structure[J].Engineering Structures,1999,21(8):719-725.
[6]Liu H B,Chen Z H.Structural behavior of the suspen-dome structures and the cable dome structures with sliding cable joints[J].Structural Engineering and Mechanics,2012,43(1):53-70.
[7]Guo J M,Dong S L,Yuan X F.Research on static property of suspen-dome structure under heap load[J].Advanced Steel Construction,2012,8(2):137-152.
[8]Zhou Zhen,Feng Yulong,Meng Shaoping,et al.Form analysis of suspen-dome structures considering construction process[C]∥Proceedings of Seventh International Conference on Advances in Steel Structures.Nanjing:[s.n.],2012:1322-1330.
[9]崔晓强,郭彦林.弦支穹顶结构的抗震性能研究[J].地震工程与工程振动,2005,25(1):67-75.Cui Xiaoqiang,Guo Yanlin.Seismic behaviors of suspen-dome structure[J].Earthquake Engineering and Engineering Vibration,2005,25(1):67-75.(in Chinese)
[10]张志宏,张明山,董石麟.弦支穹顶结构动力分析[J].计算力学学报,2005,22(6):646-650.Zhang Zhihong,Zhang Mingshan,Dong Shilin.Dynamic analysis of suspend-dome[J].Chinese Journal of Computational Mechanics,2005,22(6):646-650.(in Chinese)
[11](美)乔普拉.结构动力学-理论及其在地震工程中的应用[M].3版.谢礼立,吕大刚,译.北京:高等教育出版社,2009:300.
[12]Zhou Zhen,Meng Shaoping,Wu Jing.Stability analysis of prestressed space truss structures based on the imperfect truss element[J].International Journal of Steel Structures,2009,9(3):253-260.
[13]周臻.预应力空间网格结构的分析理论与优化设计[D].南京:东南大学,2007.
[14]周臻,吴京,孟少平.基于初弯曲单元的某弦支穹顶非线性稳定承载力分析[J].计算力学学报,2010,27(4):721-726.Zhou Zhen,Wu Jing,Meng Shaoping.Nonlinear stability bearing capacity analysis for suspend dome based on the initial curvature elements[J].Chinese Computational Mechanics,2010,27(4):721-726.(in Chinese)
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