CFRP索斜拉梁面内自由振动建模及参数分析

利用张紧弦和欧拉梁振动理论分别描述斜拉梁结构中索与梁的振动，通过索梁连接处的动态平衡条件，建立斜拉梁平面内自由振动理论.利用传递矩阵法和边界条件对斜拉梁结构平面内自由振动的特征值问题进行求解.同时，建立斜拉梁的有限元模型，有限元法所得结果与本文理论研究非常吻合，证明了本文理论和方法的正确性.最后对CFRP索斜拉梁平面内自由振动进行参数分析.研究表明,CFRP索斜拉梁的基本动力学性能优于传统钢索斜拉梁.
Based on the dynamic theory of taut string and Euler beam as well as the dynamic equilibrium conditions at the joint of cable and beam, the in-plane free vibration theory of a cable-stayed beam was established. The transfer matrix method and boundary conditions were considered to solve the eigenvalue problem of the in-plane free vibration of a cable-stayed beam structure. Meanwhile, a finite element model of the cable-stayed beam was also developed to verify the proposed theory and method. he predictions by the proposed method match well with those of the finite element analysis. Finally, the parametric analysis was conducted, which shows that the fundamental dynamic properties of the cable-stayed beam are improved by replacing steel cables with CFRP cables.