BTA深孔钻杆系统流固耦合非线性动力学研究

摘要

提出一种研究深孔钻杆系统流固耦合的非线性动力响应的方法.基于输液管道的理论,考虑钻杆和切削液耦合作用来构建钻杆系统的动力学模型.采用Galerkin方法对系统运动方程进行离散,并运用四阶Runge-Kutta方法获得系统方程的数值解.通过系统的分岔图、相图和频谱图,分析了钻杆系统振动的非线性特性.研究数值结果表明,钻杆系统具有丰富复杂的非线性动力特性,如周期性运动,拟周期运动和混沌运动,能够为深孔钻杆系统动态设计及控制提供理论指导.%An approach to analyze the nonlinear dynamic responses of the deep-hole drilling shaft system considering fluid-structure interaction is presented. Based on the theories of fluid flow in pipelines, the governing dynamic equations of the drilling shaft system are constructed considering the interaction between the drilling shaft and the cutting fluid. The dynamic equations are discretized using Galerkin method. The fourth order Runge-Kutta method is used to obtain the numerical solution of the equations. The nonlinear characteristics of the drilling shaft system are further analyzed by the bifurcation diagram, phase diagram and spectrogram of the dynamic system. The numerical results in this study show that the drilling shaft system has rich and complex nonlinear dynamic behaviors such as periodical motion, quasi-periodical motion and chaotic motion. This work may provide a theoretical guidance for dynamic design and control for deep hole drilling systems.