Analysis of Friction Induced Mode Coupling Instability

doi:10.3901/JME.2015.21.065

Abstract

Abstract:

Mode coupling is one of the important mechanisms of instability of friction vibration system, which will be significantly affected by structure impedance characteristic and the contact characteristic of the system friction pairs. A 2-DOF vibrational dynamic model is established for the phenomenon that the different directional modes of a friction pair lead to instability to deduce mode coupling instability and its dependence on the direction of friction force when friction pair components vary greatly in mechanical impedance properties and to study the sensitivity of the unstable areas to the friction pair structure and friction contact parameters. At the same time, the relationship among the constraint mode、the contact mode and the coupling mode of the friction components is analyzed as a guide to match the structure parameters and the friction contact parameters of the vibration system to avoid mode coupling as well as a theoretical basis to identify the source of friction pair mode resulting in the instability of the friction-induced vibration.

Key words:

font-size: 9pt, font-size: 9pt, font-size: 9pt, font-size: 9pt, layout-grid-mode: char" class="MsoNormal">mso-ascii-font-family: 'Times New Roman', mso-ascii-font-family: 'Times New Roman', mso-ascii-font-family: 'Times New Roman', mso-ascii-font-family: 'Times New Roman', mso-bidi-font-size: 12.0pt, mso-bidi-font-size: 12.0pt, mso-bidi-font-size: 12.0pt, mso-bidi-font-size: 12.0pt, mso-bidi-font-size: 12.0pt" lang="EN-US">direction dependencemso-bidi-font-size: 12.0pt" lang="EN-US">friction-induced vibrationmso-bidi-font-size: 12.0pt" lang="EN-US">instabilitymso-bidi-font-size: 12.0pt" lang="EN-US">mode couplingmso-bidi-font-size: 12.0pt" lang="EN-US">parameter sensitivity, mso-hansi-font-family: 'Times New Roman'">, mso-hansi-font-family: 'Times New Roman'">, mso-hansi-font-family: 'Times New Roman'">, mso-hansi-font-family: 'Times New Roman'">

ZHANG Lijun, WU Jun, MENG Dejian,. Analysis of Friction Induced Mode Coupling Instability[J]. Journal of Mechanical Engineering, 2015, 51(21): 65-72.

References

[1] AKAY A. Acoustics of friction[J]. Journal of Acoustical Society of America，2002，111 (4)：1525.

[2] KINKAID N M，O’REILLY O M，PAPADOPOULOS P. Review of automotive disc brake squeal [J]. Journal of Sound and Vibration，2003，267 (1)：105-112.

[3] 周仲荣，雷源忠，张嗣伟. 摩擦学发展前沿[M]. 北京：科学出版社，2006. ZHOU Zhongrong，LEI Yuanzhong，ZHANG Siwei. Frontier of tribology [M]. Beijing：Science Press，2006.

[4] 国家自然科学基金委员会工程与材料科学部. 机械工程学科发展战略报告(2011-2020)[M]. 北京：科学出版社，2010. Engineering and Materials Science Division of NSFC. Strategy report of mechanical engineering discipline development (2011-2020)[M]. Beijing：Science Press，2010.

[5] NORTH M R. Disc brake squeal [C]//IMechE Conference on Braking of Road Vehicles，C38/76. England：London，1976：169-176.

[6] HOFFMANN N，FISCHER M，ALLGAIER R，et al. A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations [J]，Mechanics Research Communications，2002，29(4)：197-205.

[7] HOFFMANN N，GAUL L. Effects of damping on mode‐coupling instability in friction induced oscillations [J]. ZAMM‐Journal of Applied Mathematics and Mechanics，2003，83(8)：524-534.

[8] WAGNER U V，SCHLAGNER S. On the origin of disk brake squeal [J]. International Journal of Vehicle Design，2009，51(1/2)：223-237．

[9] RUSLI M，OKUMA M. Squeal noise prediction in dry contact sliding systems by means of experimental spatial matrix identification[J]. Journal of System Design and Dynamics，2008，2( 2)：585-595．

[10] OUYANG H J，MOTTERSHEAD J E. Optimal suppression of parametric vibration in discs under rotating frictional loads [J]. Proceedings of the Institution of Mechanical Engineers Part C：Journal of Mechanical Engineering Science，2001，215( 1)：65-75．

[11] CHEN G X，ZHOU Z R，KAPSA P，et al. Experimental investigation into squeal under reciprocating sliding[J]. Tribology International，2003，36：961-971.

[12] FIELDHOUSE J D，NEWCOMB T P. The application of holographic interferometry to the study of disc brake noise[S]. SAE Paper：930805.

[13] FIELDHOUSE J D，NEWCOMB T P. Double pulsed holography used to investigate noisy brakes [J]. Optics and Lasers in Engineering，1996，25 (6)：455-463.

[14] TALBOT C，FIELDHOUSE J D. Animations of a disc brake generating noise[S]. SAE Paper：2001-01-3126.

[15] CHEN F，CHEN S E，HARWOOD P. In-plane mode/friction process and their contribution to disc brake squeal at high frequency[S]. SAE Paper：2000-01-2773.

[16] CHEN F，CHERN J，SWAYZE J. Modal coupling and its effect on brake squeal [S]. SAE Paper：2002-01-0922.

[17] 张立军，刁坤，孟德建，等. 盘-销系统摩擦尖叫的时变性：发生机理与关键影响因素[J]. 机械工程学报，2013，49(14)：99-105. ZHANG Lijun，DIAO Kun，MENG Dejian，et al. Time-varying characteristics of frictional squeal in pin-on-disc system：Generation mechanism and key impact factors[J]. Journal of Mechanical Engineering，2013，49(14)：99-105.