端部激励下空间倾斜拉索非线性振动特性研究

王 波 徐 丰 张海龙

振动与冲击 ›› 2009, Vol. 28 ›› Issue (5) : 172-175.

PDF(1484 KB)
PDF(1484 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (5) : 172-175.
论文

端部激励下空间倾斜拉索非线性振动特性研究

  • 王 波 徐 丰 张海龙
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Non-Linear Vibration Characteristic of Spatial Inclined Cables with Periodic Support Excitation

  • WANG Bo XU Feng ZHANG Hailong
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摘要

为探讨空间倾斜拉索承受塔锚固端或梁锚固端谐波位移激励下的非线性振动特性,基于牛顿运动定律及拉索索力的状态变化,综合考虑拉索振动松弛与非松弛特性,推导了斜拉索承受端部任意方向位移激励下的三维空间非线性振动方程,并采用Runge-Kutta分段时程积分法求解该方程。研究表明:在三维空间坐标系下,拉索振动呈现面、内外耦合振动特性,且耦合振动幅值与拉索面、内外固有频率及激励频率大小有关;在面内位移激励下,增大激励幅值,拉索振动呈现面外自激振动特性;增大拉索初始垂度及激励幅值,拉索振动呈现松弛与非松弛状态交替变化过程。

Abstract

To investigate the non-linear vibration behavior of spatial inclined cables subjected to harmonic displacement excitation at beam end or tower end, based on Newton's laws of motion and the tension forces of cable, the three-dimensional non-linear coupling control oscillatory differential equations in loosening and non-loosening state with the arbitrary direction excitations are derived. Runge-Kutta subsection integration method is applied to obtain those equations. The research results show that the cable will present coupled vibration characteristic of the out-of-plane and in-plane in three-dimensional spatial coordinates, the coupled vibration amplitude is relation with the matching ratio of natural frequencies of cable and excitation frequencies; in in-plane displacement excitation, the out-of-plane auto-parametric vibration will be found by increasing the excitation amplitude; with the accretion of the initial sag and the excitation amplitude, the alternate variation processes between loosening and non-loosening state are exposed during cable vibrations.

关键词

斜拉索 / 耦合振动 / 振动松弛 / 自激振动

Key words

stayed-cable / coupled vibration / loosening effect / auto-excitation vibration

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导出引用
王 波 徐 丰 张海龙. 端部激励下空间倾斜拉索非线性振动特性研究[J]. 振动与冲击, 2009, 28(5): 172-175
WANG Bo XU Feng ZHANG Hailong . Non-Linear Vibration Characteristic of Spatial Inclined Cables with Periodic Support Excitation[J]. Journal of Vibration and Shock, 2009, 28(5): 172-175

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