【摘要】 提出了钻柱纵向自由振动的离散力学模型 ,根据Lagrange方程推导建立了相应的数学模型和特征值的计算式 ,并用实际算例进行了计算 .计算结果表明 ,按离散模型确定的固有振动圆频率比按连续等直杆模型确定的固有振动圆频率略小 .考虑到实际钻柱系统的非等直性 ,可以认为离散模型的精度将高于连续等直杆模型的精度更多还原

【Abstract】 A discrete mechanical model for longitudinal free vibration of drill rods is presented, and its corresponding mathematical mo del and a formula for calculation of eigenvalue are set up and derived, respecti vely. The formula is used for evaluation of an engineering practice, and the res ult shows that the eigen vibrational circular frequency evaluated with the discr ete model is a little less than that with a model of continuous equi sections. While the fact of cross sectional nonuniformity of practical drill rod system i s taken into account, the accuracy of the discrete model would be recognized to be higher than that of the model of continuous equi sections.更多还原