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钻柱纵向自由振动研究
引用本文:韩致信,李钫,杨莉玲,安宗文.钻柱纵向自由振动研究[J].兰州理工大学学报,2002,28(2):50-53.
作者姓名:韩致信  李钫  杨莉玲  安宗文
作者单位:1. 甘肃工业大学,机电工程学院,甘肃,兰州,730050
2. 兰州通用机器厂,甘肃,兰州,730050
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

关 键 词:钻柱  纵向振动  模型  特征值  固有圆频率
文章编号:1000-5889(2002)02-0050-04
修稿时间:2001年10月20

Investigation of longitudinal free vibration of drill rod
HAN Zhi xin ,LI Fang ,YANG Li ling ,AN Zong wen.Investigation of longitudinal free vibration of drill rod[J].Journal of Lanzhou University of Technology,2002,28(2):50-53.
Authors:HAN Zhi xin  LI Fang  YANG Li ling  AN Zong wen
Institution:HAN Zhi xin 1,LI Fang 2,YANG Li ling 1,AN Zong wen 1
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.
Keywords:drill rods  longitudinal vibration  model  eigenvalue  eigen circular frequency
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