CAJ | 학술논문

分析了考虑滚动轴承内外圈波纹度、径向间隙和非线性赫兹力作用下的滚动轴承-转子系统非线性动力学响应。根据不同参数下的分岔图、功率谱图和庞加莱截面图，研究了轴承表面波纹度最大幅值和转速对系统的非线性振动的影响，找到了不同故障类型的特征频率。根据分形理论应用G-P算法计算了相同转速下不同最大幅值时的关联维数。分析结果表明，当系统处于混沌状态时随着波纹度最大幅值的增加，其关联维数也会相应增大。因此关联维数可以应用于轴承故障的特征提取与定量诊断中。
분석료고필곤동축승내외권파문도、경향간극화비선성혁자력작용하적곤동축승-전자계통비선성동역학향응。근거불동삼수하적분차도、공솔보도화방가래절면도，연구료축승표면파문도최대폭치화전속대계통적비선성진동적영향，조도료불동고장류형적특정빈솔。근거분형이론응용G-P산법계산료상동전속하불동최대폭치시적관련유수。분석결과표명，당계통처우혼돈상태시수착파문도최대폭치적증가，기관련유수야회상응증대。인차관련유수가이응용우축승고장적특정제취여정량진단중。
The nonlinear dynamic response of a rotor with ball bearings considering nonlinearities of surface waviness,internal radial clearance and Hertzian contact force was analyzed and the results were presented in the forms of bifurcation diagram,power spectrum and Poincaré map.The effects of maximum amplitude of waviness and rotating speed on the nonlinear vibration of the rotor system were studied and characteristic frequencies of different faults were found.G-P method was used to calculate the correlation dimension number for different maximum amplitudes under the same rotating speed.The results showed that the correlation dimension number increases with increase in the maximum amplitude of the waviness when the system is in a chaos;the correlation dimension number can be applied in extraction and quantitative diagnosis of faults.