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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 study the natural frequencies of continuous prestressed composite beams, an analytical model of the bi-fold prestressed steel-concrete composite two-span continuous beams is established and based on Ayaho Miyamoto, a dual-line external prestressing combination Continuous Beam Vibration Equation. Through the Laplace transform of the vibration equation, the formula of the total frequency of the continuous beam under the symmetrical mode and the anti-symmetrical mode was obtained, and the influence of equivalent axial force on the frequency of the continuous beam was analyzed. The dynamic tests and finite element results of the prestressed composite continuous beams are compared and analyzed. The results of the formulas show that the fundamental frequency results of the composite beams are in good agreement with the former two, and the influence laws of the pre-applied force on the frequency reflected by the theoretical formula Consistent with the finite element. The formula obtained can be used to calculate the natural frequency of external prestressed steel-concrete composite continuous beams.