摘要
为研究啮合刚度等动力学参数的波动性对齿轮传动系统固有特性影响,以四自由度扭转振动齿轮传动系统模型为例,利用区间模态分析方法对含区间动力学参数齿轮系统模态特性进行分析。通过算例给出齿轮系统固有频率波动区间,并通过上下边界相对不确定量与曲线凹凸性分析区间参数对系统固有频率影响。结果表明,参数波动导致的区间固有频率并非关于确定性模型下固有频率中心对称,而存在上下偏差,导致该偏差的主要原因为曲线凹凸性;通过上下边界相对不确定量及凹凸性可判断固有频率随系统参数的波动规律,上下边界相对不确定量间差异越大曲线凹凸性越明显。在单区间参数分析中,不同区间动力学参数对系统固有频率影响不同。当所有参数区间波动均考虑时系统区间固有频率范围最大,超过工程能接受结果,因此设计分析时参数的区间波动性不可忽略。
The torsional vibration model of a geared transmission system with 4-DOF was developed to study the natural characteristics of a gear system considering fluctuations of tooth mesh stiffness and other dynamic parameters. The interval modal analysis method, relative uncertainties and the curve concavity and convexity analysis were used to investigate the modal characteristics of the gear system with interval varying dynamic parameters. The fluctuation intervals of its natural frequencies were obtained with a numerical example. The results showed that the natural frequencies of the deterministic model are not the central values of the interval varying natural frequencies caused by parameter fluctuations, there are upper and lower deviations caused by the curve concavity and convexity; the fluctuating laws of the natural frequencies with fluctuating parameters can be determined with the relative uncertainties of the upper and lower bounds and the curve concavity and convexity ; the greater the differences between the relative uncertainties of the upper and lower bounds, the more obvious the corresponding curve concavity and convexity; the effects of different interval dynamic parameters on the natural frequencies are different in a single interval parametric analysis; the interval natural frequencies are largest and exceed the acceptable results of engineering when the fluctuations of all the corresponding parameters are taken into account ; therefore, the effects of the interval fluctuations of system parameters on the natural frequencies of the gear system can not be ignored.
出处
《振动与冲击》
EI
CSCD
北大核心
2015年第10期56-62,共7页
Journal of Vibration and Shock
基金
国家自然科学基金重点项目(51335006)
北京市自然科学基金重点项目(3131002)
清华大学摩擦学国家重点实验室自主研究课题(SKLT11A02)
关键词
齿轮
固有频率
模态
区间分析
gear
natural frequencies
modal
interval analysis
