论文部分内容阅读
以往对钻往横向振动的研究大都是将钻柱假设为两端铰支的简文梁，而没有考虑扶正器的作用。基于此，采用连续梁钻柱模型，推导出扶正器作用下的钻柱横向振动的频率方程和振型函数的精确解析式。所得公式对轴向受压钻柱、轴向受拉钻柱、无轴向力钻柱和有任意个扶正器及考虑钻柱自重等各种情况都适用。比较了连续梁钻柱模型和简支梁钻柱模型在固有频率和振型等方面的不同。通过实例分析，说明了扶正器数目越多，轴向压力对固有频率的影响越小，钻柱失稳临界压力就越大，即稳定性就越好。
In the past, the research on the horizontal vibration of drilling was mostly based on the assumption that the drill string was a simple beam with hinged support at both ends without considering the role of centralizer. Based on this, the continuous beam beam model is used to derive the frequency equation of transverse vibration of drill string and the exact analytic formula of mode function. The formulas are applicable to various situations such as axial compression drill string, axial tensioned drill string, no axial force drill string, and any arbitrary centralizer and consideration of drill string self weight. The differences between natural frequency and mode shape of the continuous beam drill string model and simply supported beam drill string model are compared. The case analysis shows that the more centralizers, the less influence of axial pressure on the natural frequency, the greater the critical pressure of the buckling of the drill string, that is, the better the stability.