摘要
针对大跨度斜拉桥拉索大幅振动控制问题,考虑由于索的初始垂度、大位移而引起的几何非线性因素的影响,同时考虑拉索与桥面连接条件和边界条件的影响,建立了拉索在参、强联合激励作用下的面内非线性振动方程。运用多尺度摄动方法,对其进行求解,以目前最长拉索为例,研究拉索初始索力的变化对其大幅振动的影响。研究结果表明:增加斜拉索的初始张拉力,将使索表现出的软弹簧特性变为硬弹簧特性,同时,拉索的振幅最大值对应的激励频率与拉索固有频率比值将由小于2改变为大于2。
Based on a large amplitude cable vibration problem induced by oscillations of a deck,the in-plane nonlinear governing equations of cables under the parametric and forced exciting are derived,in which the static sag and the geometric nonlinearity of the cable are considered and the simple connection condition and boundary condition of the cables and deck are taken into account.Furthermore,the multi-scale perturbation method is applied to analyzing the parametric and forced resonances of stay cables.Then,the effects of initial tension on dynamic characteristics of a longest span cable in a cable stayed bridge are investigated.It is reached as a conclusion that the augment of cable tension will make the softening behaviors of the cable change into hardening behaviors,and that the ratio of pumping frequency to natural frequency will increase from less than 2 into more than 2.
出处
《工程力学》
EI
CSCD
北大核心
2010年第6期83-88,共6页
Engineering Mechanics
基金
国家自然科学基金项目(10772065)
湖南大学人才引进配套项目和博士后项目(521105621
521106097)
湖南省博士后计划外项目(897205006)
关键词
斜拉索
张拉力
斜拉桥
多尺度法
非线性振动
inclined cables
tension
cable stayed bridge
multi-scale perturbation method
nonlinear vibration
