摘要
采用有限元法对劲性索结构进行了固有振动分析,并比较了采用能量变分法对劲性索结构固有振动分析的结果. 分析结果表明,给出的计算劲性索结构频率的计算公式具有较好的精度,相对误差在5.00%以内,可为该类结构的抗震与抗风验算提供理论依据.
According to theory of the minimum of total potential energy, the frequency formulas of one-half sine wave, two-half sine wave, three-half sine wave and four half sine wave modes are acquired. Moreover, the results of two methods are compared, from which the characteristics of free-vibration are obtained. The results show the formulas of frequencies for stiff cable structures given by this paper are of high accuracy, and the differences of frequency are all within 5%. Furthermore, the foundational mode of stiff cable structure is also an antisymmetric mode similar to the traditional flexible cables. This provides theoretical foundation for evaluation on structures that resist earthquake and resist wind loads.
引文
[1] 沈世钊,徐崇宝,赵 臣.悬索结构设计[M].北京:中国建筑工业出版社,1997.124-130.
[2] 张文福,刘迎春,计 静,等.正交正放类网架结构地震作用下的有限元分析[J].大庆石油学院学报,2004,28(3):63-66.
[3] 刘开国.劲性索结构的分析[J].空间结构,2002,8(2):19-25.