摘要
针对轴向槽气体轴承支承的转子非线性动力系统,研究了系统动力学行为的不平衡响应和分岔。采用矢量拟合近似求解的方法,建立了轴向槽气体轴承的有理函数模型,通过耦合转子运动模型,提出了一种轴向槽气体轴承-转子非线性系统动力学模型,在对其动力学行为求解过程中避免了对动态气膜力的反复求解,减少了计算时间。运用轴颈和圆盘中心的轨迹图、频谱图、Poincaré映射和分岔图分析了轴向槽气体轴承-转子系统的非线性不平衡响应和分岔行为。以转速为分岔参数研究了非线性系统从倍周期运动通向混沌的道路,以质量偏心为分岔参数研究了非线性系统的倍周期运动的倒分岔行为。数值结果表明轴向槽气体轴承-转子非线性系统存在复杂的动力学现象及分岔行为。
The unbalance responses and bifurcation of dynamic behaviors of rotor nonlinear dynamic system supported in axial-groove gas bearings are investigated. A dynamic model of axial-groove gas bearing-rotor nonlinear system is proposed by coupling the rational function model of gas bearing with the motion model of the rotor. The rational function model of gas bearing is established by using the vector fitting approximate method. The proposed model avoids the repeated calculations of dynamic gas film forces and saves the computing cost. The unbalance responses and bifurcation of the rotor system supported in axial-groove gas bearings are investigated by the trajectory, frequency spectrum, Poincaré map and bifurcation diagram of the journal and rotor disk centers. The route from period-doubling root to chaos of the nonlinear system is investigated by rotor speed taken as bifurcation parameter. The inverted bifurcation behavior of period-doubling motion of the nonlinear system is investigated by using mass eccentricity as bifurcation parameter. The numerical results show that the complex dynamic phenomenon and bifurcation behavior exist in the rotor nonlinear system supported in axial-groove gas bearings.
作者
李莎
吕延军
罗宏博
张永芳
石瑞
LI Sha;Lü Yanjun;LUO Hongbo;ZHANG Yongfang;SHIRui(School of Mechanical and Precision Instrument Engineering,Xi’an University of Technology,Xi’an 710048;Faculty of Printing,Packaging Engineering and Digital Media Technology,Xi^n University of Technology,Xi’an 710054)
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2022年第7期103-116,共14页
Journal of Mechanical Engineering
基金
国家自然科学基金(52075438,51505375)
陕西省重点研发计划(2020GY-106)资助项目。
关键词
气体轴承-转子系统
非线性
矢量拟合近似
有理函数
rotor system supported in gas bearings
nonlinear
vector fitting approximation
rational function
