CAJ | 학술논문

对斜拉索在轴向基础激励条件下的振动进行了理论分析，并建立了拉索面内运动模型。基于哈密顿变分原理，求得了拉索的非线性运动方程。利用 Galerkin法，将方程解耦。并运用多尺度法，进行求解分析。以涪丰石高速乌江特大桥拉索 FDB19为例，利用龙格-库塔法，进行了数值分析；并运用MATLAB编程计算，分析了激励频率与拉索频率比为1∶1时发生的主共振以及激励频率与拉索频率比为2∶1时发生的参数振动，得到了拉索在主共振和参数振动时的位移时程曲线；分析了影响因素频率比、激励振幅、拉索阻尼比及索力对斜拉索主共振和参数振动的影响。所得结论为斜拉索的振动控制提供了依据。
대사랍색재축향기출격려조건하적진동진행료이론분석，병건립료랍색면내운동모형。기우합밀돈변분원리，구득료랍색적비선성운동방정。이용 Galerkin법，장방정해우。병운용다척도법，진행구해분석。이부봉석고속오강특대교랍색 FDB19위례，이용룡격-고탑법，진행료수치분석；병운용MATLAB편정계산，분석료격려빈솔여랍색빈솔비위1∶1시발생적주공진이급격려빈솔여랍색빈솔비위2∶1시발생적삼수진동，득도료랍색재주공진화삼수진동시적위이시정곡선；분석료영향인소빈솔비、격려진폭、랍색조니비급색력대사랍색주공진화삼수진동적영향。소득결론위사랍색적진동공제제공료의거。
Theoretical analysis about the cable vibration on the conditions of axial basis excitation was done.The cable model which was moved on the surface was established, so non-linear equations of the motion was obtained based on Hamiltonian variational principle.Then the equation was decoupled with the methods of Galerkin and solved with the multi-scale analysis method.Take Fu Feng Shi high-speed Wujiang River Bridge cable FDB1 9 as an example,the Runge-Kutta method for numerical analysis and programming of Matlab was used for calculation.The result shows that main resonance of the cable happened when the ratio between the exciting frequency and the cable fre-quency was 1∶1 ,and the parameter vibration of the cable also happened when the fre-quency ratio was 2∶1 .And the cable displacement-time curve in the main resonance and parameter vibration was obtained,and the effects of the frequency ratio,excitation am-plitude and damping ratio of cable,cable tension on the cable-stayed main resonance,vi-bration parameters were analyzed.The conclusion provides a basis for the stayed cables vibration control.