索-曲梁组合结构的面内振动

研究了索-曲梁组合结构的面内动力特性。首先利用Hamilton变分原理得到索-曲梁的线性运动方程以及索-曲梁组合结构的边界条件,然后在给定位移边界条件下通过解析求解得到索、曲梁各自的特征值,进而可以确定组合结构的固有频率。最后讨论了索的倾角和曲梁半径以及曲梁的不同截面对组合结构固有频率的影响,并且与有限元结果进行了对比。结果表明固有频率与索与曲梁的质量比、曲梁半径以及索的倾角有关。

IN-PLANE VIBRATION OF THE CABLE-STAYED CURVED BEAM STRUCTURE

The in-plane dynamic characteristic of the cable-stayed curved beam structure is investigated. Using the Hamilton variation principle, the linear equations governing the motion of the cable and the curved beam and the boundary conditions of the cable-stayed curved beam structure are obtained. Then with given displacement boundary conditions of the cable-stayed curved beam, the eigenvalue of the cable and the curved beam can be derived. Moreover, the natural frequencies of the cable-stayed curved beam structure are obtained. By comparing with the results of the finite element method, the effects of radius and section of the curved beam and inclined angle of the cable on the natural frequencies are discussed. The results show that the natural frequencies of the structure are related to the mass ratio of the cable to the curved beam, the radius of the curved beam, and the inclined angle of the cable.