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横向流激励下绳索的扩张和回转运动
引用本文:金栋平,胡海岩.横向流激励下绳索的扩张和回转运动[J].应用数学和力学,2001,22(8):839-844.
作者姓名:金栋平  胡海岩
作者单位:南京航空航天大学振动工程研究所, 南京 210016
基金项目:江苏省"333人才工程”基金资助项目;航空高校自选课题资助项目
摘    要:基于横向流激励下绳索的微段受力分析,建立了横向流体对绳索作用力的解析表达.借助坐标变换,将绳索的运动表示为扩张和回转两部分.在此基础上,分析了小垂跨比绳索的流激振动问题,对无伸张态临界流速、平衡解稳定性、重力对绳索运动的影响等问题进行了讨论.

关 键 词:绳索    流激振动    稳定性
文章编号:10000887(2001)080839-06
收稿时间:1999-05-17
修稿时间:1999年5月17日

Stretch and Rotation of a Suspended Cable Subject to Transverse Fluid Excitation
JIN Dong_ping,HU Hai_yan.Stretch and Rotation of a Suspended Cable Subject to Transverse Fluid Excitation[J].Applied Mathematics and Mechanics,2001,22(8):839-844.
Authors:JIN Dong_ping  HU Hai_yan
Institution:Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P R China
Abstract:On the basis of analysis of the fluid drag acting on a suspended cable subjected to transverse fluid excitation, an expression is established for the fluid forces applied on the cable. By using a coordinate transform, the equations of motion of the cable are simplified into those in terms of the stretch and rotation coordinates. In the case of small ratio of sag_to_span, a study is made on the fluid_induced vibration behavior of the cable, including the critical fluid flow speed, the stability of equilibrium position, as well as the influences of gravitational parameter on the cable dynamics.
Keywords:cable  fluid_induced vibration  stability  
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