为定量研究摩擦副磨损过程中摩擦振动吸引子的变化，根据相空间重构理论，应用C-C法重构摩擦振动吸引子相空间矩阵，对相空间矩阵进行奇异值分解，通过奇异值构建矩阵奇异值特征向量，定义其特征参数为摩擦振动吸引子特征参数K，并分析特征参数K在摩擦副磨合磨损过程中的变化规律。结果表明：磨合开始，摩擦振动能量较低，吸引子体积较小，K值亦较小，为9.36；随磨合进行，摩擦振动能量逐渐增加，吸引子体积逐渐增大，K值亦逐渐增大；43min后，摩擦振动能量保持平稳，吸引子体积趋于稳定，K值在24.72附近平稳波动。因此，摩擦振动吸引子参数K可用于定量分析磨合过程中摩擦振动能量的变化；K与摩擦系数对磨损阶段的判断一致，进而可用于磨损状态的识别。
Abstract
An attractor feature parameter K was defined to quantitatively study a friction vibration attractor, and its variation was investigated in the running-in wear process. K was the feature parameter of the eigenvectors built with the attractor phase-space-matrix singular values obtained using the C-C method and the phase-space reconstruction theory. Results showed that friction vibration energy is lower in the beginning stage, the attractor volume is smaller and K is 9.36; when the running-in continues, the friction vibration energy increases, the attractor volume gets larger and K also increases gradually; friction vibration energy is stable after 43 min, attractor volumes are also stable and K fluctuates near 24.72; therefore, K can be used to quantitatively analyze the variation of friction vibration energy in the running-in process; the identification of wear state with K is consistent with that using friction coefficient, and K can be used to monitor the wear state of tribological pairs.
关键词
摩擦振动 /
奇异值分解 /
吸引子 /
特征参数
{{custom_keyword}} /
Key words
friction vibration /
singular value decomposition /
attractor /
feature parameter
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 朱华,葛世荣.摩擦学系统的混沌特性[J].机械工程学报, 2004,40(12):10-13.
ZHU Hua, GE Shi-rong. Chaotic characteristics of tribological systems [J]. Chinese journal of mechanical engineering, 2004, 40(12):10-13.
[2] 姬翠翠. 基于混沌与分形理论的缸套-活塞环磨损过程动力学行为研究 [D].徐州：中国矿业大学，2012.
JI Cui-cui. Study on the dynamic properties during the wear process of cylinder liner-piston ring based on chaos and fractal theories [D]. Xuzhou: China University of Mining & Technology, 2012.
[3] 朱华，葛世荣．摩擦力和摩擦振动的分形行为研究 [J]．摩擦学学报，2004，24( 5) : 433-437.
ZHU Hua, GE Shi-rong. Study on the fractal behaviors of frictional forces and vibration [J]．Tribology，2004，24( 5) : 433- 437.
[4] LI Guo-bin, HUANG Ye-hua, LIN Yuan-hua, et al. Multifractal analysis of frictional vibration in the running-in process [J]. Tribology Transactions, 2013, 56:284-289.
[5] 葛世荣，朱华． 摩擦学复杂系统及其问题的量化研究方法 [J]． 摩擦学学报，2002，22( 5) : 405-408.
GE Shi-rong, ZHU Hua．Complicate tribological systems and quantitative study methods of their problems [J]. Tribology，2002，22 ( 5) : 405 -408.
[6] 温诗铸，黄平. 摩擦学原理 [M]. 北京: 清华大学出版社, 2008.
WEN Shi-zhu, HUANG Ping. Principles of Tribology [M]. Beijing: Tsinghua University Press, 2008.
[7] SUN Di, LI Guo-bin, WEI Hai-jun, et al. Experimental study on the chaotic attractor evolvement of the friction vibration in a running-in process [J]. Tribology International, 2015, 88:290-297.
[8] 孙迪，李国宾，魏海军，等. 磨合过程摩擦振动混沌吸引子演变规律 [J]．振动与冲击，2015，34(6) : 116-121.
SUN Di, LI Guo-bin, WEI Hai-jun, et al. Evolvement rule of frictional vibration chaos attractors in running-in process [J]．Journal of Vibration and Shock，2015，34(6) : 116-121.
[9] LIU Ting, LI Guo-bin, WEI Hai-jun, et al. Experimental observation of cross correlation between tangential friction vibration and normal friction vibration in a running-in process [J]. Tribology International, 2016, 97:77-88.
[10] Takens F. Detecting strange attractors in turbulence dynamical systems and turbulence. Lecture Notes in Mathematics [J]. 1981, 898:366-381.
[11] 杨勇，李立浧，杜林，等．采用时频矩阵奇异值分解和多级支持向量机的雷电及操作过电压识别[J]．电网技术，2012，36(8)：31-37．
YANG Yong，LI Li-cheng，DU Lin，et al．Lightning and switching overvoltage identification based on singular value decomposition of time-frequency matrix and multi-level support vector machine[J]．Power System Technology，2012，36(8)：31-37．
[12] 程军圣，于德介，杨宇．基于EMD 和奇异值分解技术的齿轮故障诊断方法[J]．振动工程学报，2004，17(S)：461-463．
CHENG Jun-sheng，YU De-jie，YANG Yu．A fault diagnosis approach for roller bearings based on EMD method and singular value decomposition technique[J]．Journal of Vibration Engineering，2004，17(S)：461-463．
[13] SUN Di, LI Guo-bin, WEI Hai-jun et al. Investigation on friction vibration behavior of tribological pairs under different wear states [J]. Journal of tribology-transactions of the ASME, 2015, 137(2):021606
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(1192 KB)
