Semi-analytical approch for brake squeal of a rail pad
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DOI 10.1007/s12206-020-07 -y
Journal of Mechanical Science and Technology 34 (8) 2020 Original Article DOI 10.1007/s12206-020-0706-2 Keywords: · Frictional noise · Mode-coupling · Rigid mode · Rail pad squeal · Modal contribution factor
Semi-analytical approch for brake squeal of a rail pad Jaehyeon Nam and Jaeyoung Kang School of Mechanical Engineering, Inha University, Incheon 22212, Korea
Abstract Correspondence to: Jaeyoung Kang [email protected]
Citation: Nam, J., Kang, J. (2020). Semi-analytical approch for brake squeal of a rail pad. Journal of Mechanical Science and Technology 34 (8) (2020) ?~?. http://doi.org/10.1007/s12206-020-0706-2
Received March 15th, 2020 Revised
May 26th, 2020
Accepted June 16th, 2020 † Recommended by Editor No-cheol Park
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
In this study, a semi-analytical pad model was developed to analyze the causes and mechanism of brake squeal of a rail pad in a railway brake system. A complex eigenvalue analysis was performed by developing the equation of motion of the contact area using a semianalytical model. As a result, dynamic instability was indicated by the mode-merging of the ztranslation mode and flexible mode of the rail pad. In addition, the z-translation mode of the rail pad has a large frequency change when increasing the contact stiffness, and mode-veering is generated by the surrounding flexible mode along the frequency loci. Therefore, z-translation mode is predicted to be major mode that generates the mode-coupling instability.
1. Introduction Friction noise is one of the most frequent problems in mechanical systems and has been studied for a long time in the vibration field [1-6]. In the past, studies predicting friction noise were performed mainly using spring mass friction models. Recently, however, finite element analysis (FEA) has been used to predict friction noise problems in friction systems based on actual geometries. The squeal generated in an automotive brake system is a representative example of a friction-induced vibration problem. Frictional forces are defined between a rotating disc and pad, and the dynamic instability of the system is predicted by complex eigenvalue analysis [7-12]. Nam et al. [13, 14] predicted friction noise using FEA in a model of a lead screw and ball joint and verified the results through tests. However, when using commercial software, repetitive tasks and much time are required to demonstrate the mechanism of the friction noise. On the other hand, a purely theoretical model can be used to obtain exact solutions but is limited to systems without complex geometry. To overcome this problem, semi-analytical models have been proposed to perform various parametric studies on complex geometries by applying an FE model to a theoretical model. This method can analyze complex system geometries using the FE model, and a frictioncontact model is used as a mathematical model. Kang [15-17] investigated the major factors in squeal using a sem
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