CAJ | 학술논문

考虑了钻柱即时构形中轴向力对钻柱弯曲的影响，计及由于弯曲变形而产生的轴向附加力，得到了水平井段钻柱在周期性波动钻压激励下的非线性参数激励振动系统，导出了根据钻柱的物理和几何性质以及井孔尺寸计算系统参数的公式．先通过Galerkin法对控制方程在空间域内加权消残，然后在时间域内用Melnikov-Holmes方法得到了钻柱可能发生浑沌振动的参数激励的阈值．文中结果可能对钻井轨迹的控制具有一定的指导意义．
고필료찬주즉시구형중축향력대찬주만곡적영향，계급유우만곡변형이산생적축향부가력，득도료수평정단찬주재주기성파동찬압격려하적비선성삼수격려진동계통，도출료근거찬주적물리화궤하성질이급정공척촌계산계통삼수적공식．선통과Galerkin법대공제방정재공간역내가권소잔，연후재시간역내용Melnikov-Holmes방법득도료찬주가능발생혼돈진동적삼수격려적역치．문중결과가능대찬정궤적적공제구유일정적지도의의．
At the present time the controlling of trajectory of bor ehole isstill a difficult problem for drilling engineers. Considering the effec t of the axial force on the bending of the drillstring in horizontal section and taking the extra axial force caused by lateral deformation into account, this p aper studies the nonlinear, parametrically excited system which can describe th e vibration of the horizontal drillstring subjected to periodic weight-on-bit. The parameters of the dynamic system are formulated in terms of the physical an d geometric character of the drillstring and the diameter of the well. After eli minating the residuals of the governing equation in space domain by Galerkin Met hod, the authors have got the threshold value of the parameter excitation that m ay trigger chaotic motion of the drillstring by means of Melnikov-Holmes Method . The result obtained here may be helpful to improving the precision of controll ing the trajectory of borehole.