体外预应力钢-混凝土组合连续梁自振频率分析  

ANALYSIS OF NATURAL FREQUENCY OF PRESTRESSED COMPOSITE BEAM WITH EXTERNAL TENDONS

作　　者：焦春节[1] 丁洁民[2] 

机构地区：[1]同济大学建筑工程系,上海200092 [2]同济大学建筑设计研究院(集团)有限公司,上海200092

出　　处：《工程力学》2011年第2期193-197,211,共6页Engineering Mechanics

摘　　要：为研究预应力组合连续梁的自振频率,建立双折线型体外预应力钢-混凝土组合两跨连续梁振动特性的分析模型,并在Ayaho Miyamoto的基础上,推导出双折线型体外预应力组合连续梁振动方程。通过对振动方程进行拉普拉斯变换,得到了连续梁在对称振型和反对称振型下的全部频率计算公式,分析了等效轴向力对组合连续梁频率的影响规律。和现有的预应力组合连续梁的动力试验和有限元结果进行了比较分析,公式计算的组合梁基频结果与前两者吻合较好,理论公式所反映的预加力对频率的影响规律与有限元一致。所得公式可以用来计算体外预应力钢-混凝土组合连续梁的自振频率。In order to investigate the natural frequency of a prestressed composite beam,an analytical model of a prestressed steel-concrete composite continuous beam is formulated.Based on the formula presented by Ayaho Miyamoto,the formulas for natural frequency of a double broken line prestressed composite continuous beam with external tendons are derived.The all natural frequency formulas for the continuous beam is derived through Laplace transform,meanwhile,the influence rule of the composite continuous beam due to an equivalent axial force is analyzed.The results of the formulas are compared with existing tests and FEA results,and the first calculated frequency of the continuous beam is consistent with the other results.Meanwhile,the influence rule of the theoretic formulas on the composite continuous beam due to the equivalent axial force is consistent with FEA.The natural frequency of a prestressed composite beam with external tendons can be calculated by the derived formula.

关 键 词：体外预应力 自振频率 动力性能 频率方程 连续梁 

分 类 号：TU398.9[建筑科学—结构工程] TU311.3