Abstract
During exploitation of straight well engineer, the problem of drill string failure is very serious; drill string resonance is main reason. In this paper drill string of deep well is object being studied. The models about axial vibration, lateral vibration and torsional vibration are set up. Modal vibrations of drill string are studied. All sorts of resonance frequency are obtained practicability, and analysis about vector plot are obtained. This paper proves theory bases for optimizing drill tool of deep well and reducing drill string failure.
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