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Title: | COMPUTER SIMULATIONS OF AUTOMOTIVE DISC BRAKE SQUEAL | Authors: | LUI HO MAN | Keywords: | disc brake brake disc brake squeal rubber bushing vibration stiffness damping |
Issue Date: | 2006 | Citation: | LUI HO MAN (2006). COMPUTER SIMULATIONS OF AUTOMOTIVE DISC BRAKE SQUEAL. ScholarBank@NUS Repository. | Abstract: | In this joint-research with Alex Y. K. Tan, we investigate the disc brake squeal phenomenon on a motorcycle brake disc manufactured by Sunstar Logistic. The viscous frictional coefficients ?k have been measured experimentally and we find that they correlate well with a œdecreasing ?k with increasing sliding velocity vs relation proposed by Mills. This relation can possibly introduce instability to the disc brake system and the instability causes brake squeal. We design a rubber bushing in the interface between the brake disc and the bolts (which hold the brake disc to the rotor) to provide a damping force to remove the instability and brake squeal. We first analyze the vibration behaviour of a one-dimensional mathematical model of the disc brake system. The results from the one-dimensional model show that a damping force can stabilize the system. Thereafter, we develop a two-dimensional mathematical model with six degrees-of-freedom to fully model the translational and rotational movements of the brake disc with rubber bushings. The six degrees-of-freedom are translational displacements x, y and z as well as rotational displacements ?, ? and ?. Using a hierarchical system of models, we examine our two-dimensional mathematical model in stages by first considering only one degree-of-freedom, followed by three degrees-of-freedom, and lastly six degrees-of-freedom. This paper focuses on results for six degrees-of-freedom. We define six parameters determined by the design of the rubber bushing. From the input parameters, we evaluate two sets of base parameters: in-plane and out-of-plane stiffness coefficients kxy, kz and damping coefficients cxy, cz. We further define three output parameters, vibration frequency, stability time and vibration magnitude, for each of the six displacements. We give surface plots of the output parameters for a range of base parameters determined by a feasible range of input parameters. One can redesign the rubber bushing, determine the input parameters and base parameters of the new design, and estimate the output parameters with the surface plots. We shall present a best set of input parameters, its corresponding base parameters, and its resultant output parameters that have the optimal stability time and vibration magnitudes in all the displacements x, y, z, ?, ? and ?. Theoretically, no brake squeal occurs with this best set of input parameters. | URI: | https://scholarbank.nus.edu.sg/handle/10635/153985 |
Appears in Collections: | Master's Theses (Restricted) |
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