尹越^1,2, 冯涛¹, 郑力¹
AuthorsHTML:尹越^1,2, 冯涛¹, 郑力¹
AuthorsListE:Yin Yue^1,2, Feng Tao¹, Zheng Li¹
AuthorsHTMLE:Yin Yue^1,2, Feng Tao¹, Zheng Li¹
Unit:1. 天津大学建筑工程学院，天津 300072；2. 滨海土木工程结构与安全教育部重点实验室(天津大学)，天津 300072
Unit_EngLish:1．School of Civil Engineering, Tianjin University, Tianjin 300072, China
2．Key Laboratory of Coast Civil Structure Safety(Tianjin University), Ministry of Education, Tianjin 300072, China
Abstract_Chinese:采用求解考虑几何非线性的结构特征方程的方法对预应力态和承载态的单自由度预应力钢结构进行自振特性分析, 通过与非线性瞬态分析结果比较, 验证了该方法的正确性, 明确了结构自振频率与结构切线刚度的关系．在此基础上, 对索桁架和张弦梁结构的自振特性进行了研究, 结果表明：预拉力和外荷载引起的预应力钢结构切线刚度的改变将影响结构的自振特性, 预应力通常增大结构刚度和自振频率, 而外荷载可能增大或减小结构刚度和自振频率．因此, 进行预应力钢结构自振特性分析应同时考虑预应力和外荷载的影响, 然而对张弦梁这类结构由于预拉力和外荷载对结构切线刚度的影响相互抵消, 可直接采用线性自振频率进行结构抗震设计．
Abstract_English:Natural vibration characteristics of SDF prestressed steel structures in different prestressed and loading states were determined by solving eigenvalue equations in which geometric nonlinearity was considered. The obtained results were verified by comparing with those from nonlinear transient analysis. The relationship between natural frequency of the SDF prestressed steel structure and its tangent stiffness was illustrated，based on which the natural vibration characteristics of cable truss structures and beam string structures were studied. It is shown that both pretension and loading change the natural frequency of prestressed steel structures by changing their tangent stiffness. Pretension usually increases tangent stiffness and natural frequency，while loading may increase or decrease them. Therefore，both pretension and loading should be considered in natural vibration analysis of prestressed steel structures. However，for well-designed beam string and similar structures，the effect of pretension and loading on tangent stiffness will counterbalance each other and natural vibration characteristics obtained by linear analysis can be used for seismic design of the structures directly.
Keyword_Chinese:预应力钢结构; 自振特性; 预应力态; 承载态; 非线性刚度
Keywords_English:prestressed steel structures; natural vibration characteristics; prestressed state; loading state; nonlinear stiffness

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