BTA深孔加工系统横向边界扰动研究
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摘要
在汽轮机转子加工的BTA深孔工艺系统中,钻杆长径比高达180,被包容在内、外旋转的切削液流体环境中工作,旋转的流固耦合效应对柔性钻杆的运动稳定性和系统整体动力行为的变化及发展趋势影响很大。将旋进的钻杆刀具切削系统与工件内孔壁边界的动态接触转化为一种边界扰动的物理模型,据此构建具有运动扰动边界的单自由度横向颤振模型,依据模型仿真,在不同频率下,使用Poincare映射和分岔图方法对比,分析了不同系统参数和流体参数对系统非线性动力学行为改变的影响。结果表明:在切削液流速很低工况下,系统的运动状态全部表现为对称体系下的各种周期振动和混沌振动;在切削液扰动较大的工况下,特别是轴向压力大时,系统的切削明显稳定,混沌作用减弱。研究结果揭示了流体对BTA加工系统非线性横向振动的影响机制,这对指导BTA深孔加工生产工艺参数的优选和振动控制具有一定的指导意义。
Within the BTA deep-hole processing system for the turbine rotor manufacturing,since the ratio of length to diameter of drilling bar could be up to 180,and it is involved in the cutting fluid which flows rotationally and reversely for each other inside and outside of the bar,the rotational fluid-solid coupling effect on the motion stability of the flex drilling bar and on the variation and evolution of the systemic kinetics behavior is noteworthy. It was proposed for a transverse vibration model with one degree of freedom and dynamic perturbation boundaries for BTA deep-hole processing system,by means of the transformation from the dynamic contact between the precession drill cutting system and the inner-hole wall on the workpiece into a physical boundary perturbation model. Under different frequency ratio,the investigation base no the Poincare map and bifurcation was carried out by the model simulation on the effect of different systemic parameters and fluid parameters on the nonlinear dynamic behavior. The results indicated that,with the low speed rate of cutting fluid,the systemic motion situation completely exhibited the various periodical vibration and chaotic vibration under the symmetric system; and in case of the notable perturbation in the cutting fluid,especially in case of the remarkable axial pressure,the systemic cutting obviously got stable and the chaos became weak. The analytical conclusions revealed the mechanism of the effect of the fluid on the transverse vibration in nonlinear system on BTA processing,and provided helpful guidance to the optimization of the BTA deep hole processing parameters and control of the vibration.
Within the BTA deep-hole processing system for the turbine rotor manufacturing,since the ratio of length to diameter of drilling bar could be up to 180,and it is involved in the cutting fluid which flows rotationally and reversely for each other inside and outside of the bar,the rotational fluid-solid coupling effect on the motion stability of the flex drilling bar and on the variation and evolution of the systemic kinetics behavior is noteworthy. It was proposed for a transverse vibration model with one degree of freedom and dynamic perturbation boundaries for BTA deep-hole processing system,by means of the transformation from the dynamic contact between the precession drill cutting system and the inner-hole wall on the workpiece into a physical boundary perturbation model. Under different frequency ratio,the investigation base no the Poincare map and bifurcation was carried out by the model simulation on the effect of different systemic parameters and fluid parameters on the nonlinear dynamic behavior. The results indicated that,with the low speed rate of cutting fluid,the systemic motion situation completely exhibited the various periodical vibration and chaotic vibration under the symmetric system; and in case of the notable perturbation in the cutting fluid,especially in case of the remarkable axial pressure,the systemic cutting obviously got stable and the chaos became weak. The analytical conclusions revealed the mechanism of the effect of the fluid on the transverse vibration in nonlinear system on BTA processing,and provided helpful guidance to the optimization of the BTA deep hole processing parameters and control of the vibration.
引文
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[2] WEINERT K,WEBBER O,PETERS C. On the influence of drilling depth dependent modal damping on chatter vibration in BTA deep hole drilling[J]. CIRP Annals-Manufacturing Technology,2005,54(1):363-366.
[3] PERNG Y L,CHIN J H. Theoretical and subject to axial forces[J]. International Journal of Mechanical Sciences,1999,41(11):1301-1322.
[4]孔令飞,李言,吕延军. BTA深孔加工钻杆系统的稳定性及分岔[J].兵工学报,2009,30(12):1684-1690.KONG L F,LI Y,LYU Y J. Stability and bifurcation of the drilling shaft system in processing deep hole based on boring and trepanning association[J]. Acta Armamentarii,2009,30(12):1684-1690.
[5]胡占齐,赵武,缪磊. BTA深孔加工中流体力引起的钻杆涡动研究[J].机械工程学报,2005,41(1):230-233.HU Z Q,ZHAO W,MIU L. Research on vortex motion of BTA drilling shaft caused by hydro-force[J]. Journal of Mechanical Engineering,2005,41(1):230-233.
[6]黎崛珉,陆泽琦,陈立群.非线性阻尼非线性刚度隔振系统随机动力学特性研究[J].应用数学和力学,2017,38(6):613-621.LI J M,LU Z Q,CHEN L Q. Stochastic dynamic characteristics of nonlinear damping nonlinear stiffness isolation system[J]. Applied Mathematics and Mechanics,2017,38(6):613-321.
[7]马国红,沈兴全. BTA深孔钻杆系统流固耦合非线性动力学研究[J].噪声与振动控制,2017,37(5):38-41.MA G H,SHEN X Q. Study on nonlinear dynamic responses of a BTA deep-hole drilling shaft system with fluid-structure interaction[J]. Noise and Vibration Control,2017,37(5):38-41.
[8] ZHU L,NAN Y F. Study on technology of restraining the vibration of deep-hole boring and the helix lobes[J]. Materials Science Forum,2012,697-698:9-12.
[9] RITTO T G,ESCALANTE M R,SAMPAIO R,et al.Drill-string horizontal dynamics with uncertainty on the frictional force[J]. Journal of Sound and Vibration,2013,332(1):145-153.
[10] ZHAO W,ZHANG Q B,JIA W T,et al. Modeling and simulation on BTA boring system with nonlinear internal cutting fluid flow[J]. WIT Transactions on Modeling and Simulation,2014,355-356(1):1119-1127.
[11]赵武. BTA深孔钻杆的力学行为研究[D].秦皇岛:燕山大学,2003.ZHAO W. Study on the mechanics behavior of BTA deep hole drill shaft[D]. Qinhuangdao:Yanshan University,2003.
[12] ZHAO W,CHEN D J,HU Z Q. Center track analysis and simulation considering effect of vortex and perturbation of cutting fluid on BTA boring bar[J]. Applied Mechanics&Materials,2014,526:150-154.
[13]李旭波,郑建明,彭朋,等.错齿BTA深孔钻导向条与孔壁接触状态仿真研究[J].机械科学与技术,2017,36(7):1042-1047.LI X B,ZHENG J M,PENG P,et al. Simulation study on contacting state between drilled hole wall and guide pads for staggered teeth BTA drill[J]. Mechanical Science and Technology,2017,36(7):1042-1047.
[14] ZHAO W,HU Z Q,HUANG D. Global stability analysis on combination self-excited vibration of BTA deephole boring rotor materials[J]. Key Eng. Mat.,2016,667:75-81.
[15] ZHAO W,JIA W T,ZHANG Q B,et al. Stable equilibrium analysis and simulation considering effect of cutting fluid inside and outside BTA boring bar[J]. Adv.Mater. Res.,2014,902:129-134.
[16] ZHAO W,CHEN D J,HU Z Q. Vortex stability analysis based on coupling the rubbing with BTA boring bar[J]. Appl. Mech. Mater.,2014,509:50-55.
[17]张全斌. BTA系统导向套偏心触发切削液耦合机制的钻杆偏动量研究[D].焦作:河南理工大学,2015.ZHANG Q B. Research on eccentricity mechanism of BTA boring machining system induced by cutting fluid coupled eccentric pilot[D]. Jiaozuo:Henan Polytechnic University,2015.
[18] ZHAO W,ZHANG Q B,JIA W T,et al. Influence on BTA boring bar transverse vibration considering inner cutting fluid velocity and axial force[J]. Advanced Materials Research. 2014,887-888:1215-1218.
[19]闻邦椿.工程非线性振动[M].北京:科学出版社,2007.WEN B C. Nonlinear vibration of engineering[M]. Beijing:Science Press,2007.
[20]张艳龙,唐斌斌,王丽,等.动摩擦作用下含间隙碰撞振动系统的动力学分析[J].振动与冲击,2017,24:58-63.ZHANG Y L,TANG B B,WANG L,et al. Dynamic analysis for a vibro-impact system with clearance under kinetic friction[J]. Journal of Vibration and Shock,2017,24:58-63.
[21]吴焕芹,李骊,陈秀东.具有间隙的动力系统的极限环[J].数学研究与评论,1997,17(2):297-303.WU H Q,LI L,CHEN X D. The limit cycle of dynamic system with gaps[J]. Journal of Mathematical Research and Exposition,1997,17(2):297-303.
[22]徐伟,贺群,戎海武,等. Duffing Van der Pol振子随机分岔的全局分析[J].物理学报,2003,52(6):1265-1272.XU W,HE Q,RONG H W,et al. Global analysis of stochastic bifurcation in a buffing van der Pol system[J].Acta Physica Sinica,2003,52(6):1265-1272.
[23]史蒂芬H.斯托加茨.非线性动力学与混沌[M].北京:机械工业出版社,2016.STROGATZ S H. Nonlinear dynamics and chaos[M].Beijing:China Machine Press,2016.
[24]徐伟.非线性随机动力学的若干数值方法及应用[M].北京:科学出版社,2013.XU W. Numerical analysis methods for stochastic dynamical system[M]. Beijing:Science and technology press,2013.