BTA深孔精密扩孔系统流体扰动的非线性横振

doi:10.3901/JME.2020.17.155

机械工程学报 ›› 2020, Vol. 56 ›› Issue (17): 155-164.doi: 10.3901/JME.2020.17.155

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BTA深孔精密扩孔系统流体扰动的非线性横振

赵武¹, 霍博义^1,2,3, 黄丹²

1. 河南理工大学机械与动力工程学院焦作 454000;
2. 河南理工大学材料科学与工程学院焦作 454000;
3. 上海振华重工(集团)股份有限公司上海 200125

收稿日期:2019-12-20 修回日期:2020-04-15 出版日期:2020-09-05 发布日期:2020-10-19
通讯作者: 黄丹(通信作者),女,1978年出生,博士,副教授,硕士研究生导师。主要研究方向为高性能金属及金属基复合材料、抗冲击防护材料。E-mail:huangdan@hpu.edu.cn
作者简介:赵武,男,1971年出生,博士,副教授,博士研究生导师。主要研究方向为非线性动力学、精密超精密加工技术与装备。E-mail:zhaowu@hpu.edu.cn;霍博义,男,1990年出生。主要研究方向为非线性动力学、精密超精密加工技术与装备。E-mail:huoboyi@126.com
基金资助:
国家自然科学基金（51075126）、河南省培育资助（NSFRF170503）、河南省科技攻关资助（192102210052）和创新团队资助（T2019-5）资助项目。

Nonlinear Transverse Vibration Induced by Fluid Disturbance on BTA Deep Hole Precision Reaming System

ZHAO Wu¹, HUO Boyi^1,2,3, HUANG Dan²

1. School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000;
2. School of Materials Science and Engineering, Henan Polytechnic University, Jiaozuo 454000;
3. Shanghai Zhenhua Port Machinery Company Limited, Shanghai 200125

Received:2019-12-20 Revised:2020-04-15 Online:2020-09-05 Published:2020-10-19

摘要/Abstract

摘要： 为提高超大长径比超临界汽轮机转子内孔的加工精度，研究了高速BTA深孔精密扩孔工艺中的钻杆（刀轴）横向振动问题。通过建立以流体扰动为主要诱因的深孔钻杆系统的非线性横向振动模型，运用Melnikov方法分析了流体扰动下系统横向非线性振动的混沌性态；利用图胞映射理论研究多初值条件下的流体扰动对BTA深孔加工系统安全盆域中吸引子和吸引域的流形变化，明确了在多初值条件下，该系统吸引子的运动特性。结合分岔、最大Lyapunov指数、双参平面分岔等特征，分析了流体扰动激励下BTA深孔切削系统随各类参数变化的非线性动力行为，通过双参平面分岔分析，讨论了该系统在双参变化时的非线性动力特性，揭示了BTA深孔加工系统在单参、双参变化时的非线性动力行为演变机制，并对系统横向振动的混沌参数域进行了解析，得到系统在双参数平面上混沌运动、稳定周期运动的参数域。该研究结果可为BTA深孔切削加工的生产实践提供一定理论指导。

关键词: BTA深孔加工, 横向振动, 分岔, 吸引子, 最大Lyapunov指数, 双参分岔

Abstract: In order to promote the machining precision of the inner hole in super-critical turbine rotor with super length-diameter ratio, the transverse vibration on BTA deep-hole precision reaming bar (cutter shaft) is studied. Based on the established nonlinear transverse vibration model for the deep-hole reaming system, where the oscillation is mainly induced by the fluid disturbance, the chaos of the systematic nonlinear transverse vibration induced by fluid disturbance is analyzed with Melnikov method; by way of the cell mapping theory, under multiple initial values, it is studied for the effects of the fluid disturbance on the manifold deformation of the attractor and attraction domain in the safe basin domain in the BTA deep-hole reaming system, and it is demonstrated for the motion characteristic of the attractor in system. Combined with the bifurcation, maximum Lyapunov exponent, as well as the bifurcation on double parameters plane, it is analyzed for the nonlinear dynamic behavior of the BTA deep hole reaming system which is varied with kinds of parameters. In addition, through the analysis of the bifurcation of bi-parameter plane, the nonlinear dynamic behavior in the system is discussed at the variation of the bi-parameter, and the evolvement mechanism of the nonlinear dynamic behaviors is revealed at the variation both of single and double parameters in the BTA system. At last, the chaos parameters is analyzed for the systematic transverse vibration and the parameters domain in the system is obtained for both the chaos motion on bi-parameter plane and stable periodic motion. The results would provide some useful theoretical guide for the practice in BTA deep hole reaming.

Key words: deep-hole reaming system, transverse vibration, bifurcation, attractor, maximum Lyapunov exponent, double parameter bifurcation

中图分类号:

TH161
TH113

赵武, 霍博义, 黄丹. BTA深孔精密扩孔系统流体扰动的非线性横振[J]. 机械工程学报, 2020, 56(17): 155-164.

ZHAO Wu, HUO Boyi, HUANG Dan. Nonlinear Transverse Vibration Induced by Fluid Disturbance on BTA Deep Hole Precision Reaming System[J]. Journal of Mechanical Engineering, 2020, 56(17): 155-164.

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BTA深孔精密扩孔系统流体扰动的非线性横振

Nonlinear Transverse Vibration Induced by Fluid Disturbance on BTA Deep Hole Precision Reaming System

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