| Rayleigh 阻尼作用下斜拉桥扭转振动 |
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| 引用本文： | 范家参,罗永康.Rayleigh 阻尼作用下斜拉桥扭转振动[J].地震研究,1988(4). |
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| 作者姓名： | 范家参 罗永康 |
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| 作者单位： | 云南工学院 昆明
(范家参)，云南工学院 昆明(罗永康) |
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| 摘 要： | 在侧向风力或侧向水平地源力作用下,斜拉桥容易发生扭转振动。本文采用非线性Rayleigh阴尼,它能反映在低速振动时有激发而加速振动,至一定高速后又衰减的完整振动过程。对非线性的统辖方程及定解条件,先使之无量纲化,再按非线性项的系数这个小参数展开未知函数,得到线性化的各级近似方程。把待求函数展成梁轴坐标的Fourier级数,其系数为待定的时间函数,应用Fourier级数的正交性,得到求解未知时间函数的二阶常微分方程,完全类似单自由度质点在线性粘滞性阻尼作用下的统辖方程,其解为已知。
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| 关 键 词： | 阻尼作用 扭转振动 |
TORSIONAL VIBRATION OF THE OBLIQUELY STRAIGHTENED BRIDGE UNDER RAYLEIGH DAMPING |
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| Fan Jiashen Luo Yongkang.TORSIONAL VIBRATION OF THE OBLIQUELY STRAIGHTENED BRIDGE UNDER RAYLEIGH DAMPING[J].Journal of Seismological Research,1988(4). |
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| Authors: | Fan Jiashen Luo Yongkang |
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| Abstract: | The obliquely straightened bridge is liable to be caused a torsional vibration under the lateral wind and the laterally seismic horizontal force.In this paper, the nonlinear Rayleigh damping is used, because it can indicate the entire vibration process, of excitation at low vibration-accelerated vibration-high vibration-attenuation. For the nonlinear governing equation and deterministic solution condition, firstly they should be non-dimensioned and then the unknown function is extended according to the small parameter like the coefficient of nonlinear term, so as to get the linear approximate cqua-tions of different stages. Making the expected function extended as Fourier stages of an axis coordinate with its coefficient as an expected time function, by the orthogonality of Fourier stages the two-slage constant differential equation to calculate the unknown time function is thus obtained, which is completely similar to evolution function of single free state particle under a linear viscous damping with a given solution. |
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| Keywords: | Damping action Torsion vibration |
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