轴向载荷作用下细长柔性旋转梁横向振动响应分析  

Vibration Response Analysis of Slender Flexible Revolving Beam under Axial Load

作　　者：任福深[1] 陈素丽[1] 姚志刚[2] 

机构地区：[1]东北石油大学,大庆163318 [2]北京市工业技师学院,北京100123

出　　处：《中国机械工程》2013年第24期3392-3396,共5页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(N11372071);中国博士后科学基金资助项目(2013M541339);黑龙江省科技攻关项目(GZ11A405)

摘　　要：将水平井柔性钻柱简化为轴向载荷作用下的细长柔性梁,建立了考虑几何大变形的非线性动力学方程,并且利用多重尺度法得到了柔性梁横向振动的平均方程。因钻柱转速和轴向力是影响钻柱振动的两个主要参数,故用改变转速的方法来对平均方程进行非线性动力学响应分析,给出了一阶、二阶模态下钻柱随转速变化的分叉图和不同转速下的相图。分析结果表明,系统响应经历了从周期到混沌再到二倍周期的变化过程,振动幅值有跳变现象出现,在共振条件下,柔性旋转梁振动幅值是有限值,并非无穷大,当轴向力发生变化时,可以通过控制转速变化达到定性、定量地控制柔性钻柱横向振动的目的。A flexible drill string in horizontal well was simplified as an axial load of elongated flex- ible beam. Nonlinear dynamic equations were established about the geometric large deformation, transverse vibration average equations of the beam were received by using the method of multiple scales. Due to the rotation speed and the axial force had the same role in the average equation, so non- linear dynamic responses were analyzed by changing the rotating speed in the average equations. The bifurcation graphs for first and second order modes and phase diagram of different speeds were given. The analysis results show that the whole responses of system has gone through the process of cy- cle-chaos twice the cycle, along with the response amplitudes there are jumping phenomena, and the amplitude of the rotating flexible beam actually is not infinite, but limited value in the reso- nance condition. Therefore, when the axial force changes, vibration of the flexible beam can be con- trolled by controlling its rotation speed quantitatively and qualitatively.

关 键 词：柔性旋转梁 非线性的 钻柱 振动 

分 类 号：O32[理学—一般力学与力学基础]