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忽略阻尼对钻柱振动的影响,在一维钻杆扭转振动和纵向振动方程的基础上,推导出单根钻杆和多根相同钻杆扭转振动和纵向振动的等效网络。利用等效网络级联理论,结合钻柱系统边界条件,给出了钻柱扭转振动和纵向振动的等效网络和机械等效阻抗表达式,阐述了根据机械等效阻抗确定钻柱扭转振动和纵向振动机械共振频率的原理和方法。由等效网络分析法和ANSYS有限元法对两例钻柱扭转振动和纵向振动机械谐振频率的计算结果表明:利用等效网络分析法计算钻柱系统扭转振动和纵向振动的机械谐振频率是一种行之有效的方法,具有直观、简单易用的特点,并且其计算结果与ANSYS有限元法的数值模拟结果一致。
Ignoring the influence of damping on the vibration of drill string, an equivalent network of torsional vibration and longitudinal vibration of single drill pipe and multiple identical drill pipes is deduced on the basis of torsional vibration and longitudinal vibration equation of one-dimensional drill pipe. Based on the equivalent network cascade theory and the boundary conditions of drill string system, the equivalent network and mechanical equivalent impedance expressions of torsional vibration and longitudinal vibration of drill string are given. The torsional vibration of drill string and the mechanical equivalent impedance Principle and method of longitudinal vibration mechanical resonance frequency. The calculation results of torsional vibration and longitudinal vibration mechanical resonance frequency of two drill string by equivalent network analysis and ANSYS finite element method show that the mechanical resonance frequency of torsion vibration and longitudinal vibration of drill string system calculated by equivalent network analysis method is one The effective method is intuitive, simple and easy to use, and its calculation results are in good agreement with the numerical results of ANSYS finite element method.