鞍形索网非线性振动计算方法研究

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英文篇名：Study on non-linear vibration calculation method of saddle cable net 中文刊名：山西建筑 英文刊名：Shanxi Architecture 作者：刚芹果 ; 许秀颖 英文作者：GANG Qin-guo XU Xiu-ying 中文关键词：鞍形索网 ; 连续化假设 ; 非线性 ; 自振频率 ; 简化计算 英文关键词：saddle cable net ; continuous assumption ; non-linear ; natural frequency of vibration ; simple calculation 出版日期：2009-11-20 机构：河北大学建筑工程学院; 年：2009 期：33 出版单位：山西建筑

摘要

研究了鞍形索网屋盖振动时的受力特点,在连续性薄膜理论的基础上建立了矩形鞍形索网非线性振动的平衡微分方程,采用能量法推导出了鞍形索网的非线性自振频率的解析表达式,讨论并分析了激励幅值和索网拱度对索网的自振频率的影响,并得到各参数与自振频率的关系曲线,结果表明:激励幅值与索网拱度都是自振频率的增函数。
The stress characteristics of saddle cable net roof vibration was studied,the balanced differential equation of the rectangular saddle cable net non-linear vibration was built based on continuous film theory,the expression of saddle cable net non-linear natural frequency of vibration was deduced with energy method.The motivated amplitude and cable net camber influences on natural frequency of vibration were discussed and analyzed,the relationship curve between various parameters and natural frequency of vibration was obtained.The result indicated that both motivated amplitude and cable net camber were increasing function to natural frequency of vibration.

引文

[1]沈世钊,徐崇宝,赵臣.悬索结构设计[M].第2版.北京:中国建筑工业出版社,2006.
    [2]石永久,吴丽丽,王元清.单层悬索体系非线性自振特性研究[J].振动工程学报,2006,19(2):173-178.
    [3]Irvine H M.Cable Structures[M].Cambridge,Mass:The MITPress,1981.
    [4]赵基达,季天健,中国土木工程学会桥梁及结构工程学会空间结构委员会.悬索结构动力特征的简化计算与研究[A].第六届空间结构学术交流会论文集[C].北京:地震出版社,1992:547-558.
    [5]冯若强,武岳,沈世钊.单层平面索网结构非线性频率简化计算方法研究[J].工程力学,2007,24(10):87-97.
    [6]冯若强,李庆祥,武岳,等.单层平面索网幕墙结构的非线性抗风设计方法[J].土木工程学报,2009,42(2):39-44.
    [7]顾建飞,姚谏,钱国桢.索网结构与膜结构自振频率近似求解法[J].钢结构,2006,21(1):9-10.