Grey wolf optimizer-based design of ventilated brake disc

Ventilated brake discs used in automobiles are normally subjected to fluctuating load because of their intermittent operations which is principally responsible for their fatigue failure. Premature fatigue failures can be avoided by optimally designing those brake discs. Due to expensive and time-consuming nature of physical experiments, comprehensive design analysis is carried out in this paper in silico to search out the optimal design of ventilated brake disc. Finite element analysis (FEA)-based models are first developed to simulate the fatigue life and axial deflection of ventilated brake discs. While considering five important brake disc design parameters, i.e. inboard plate thickness, outboard plate thickness, vane height, effective offset and center hole radius, 27 FEA simulations are performed based on the central composite design plan. This dataset is then employed for developing two polynomial regression-based metamodels. After critical evaluation of those metamodels with respect to various statistical measures, they are adopted as inexpensive and readily deployable alternatives to the FEA models. Finally, a recently developed metaheuristic algorithm in the form of grey wolf optimizer is applied to optimize the ventilated brake disc design which provides approximately 20% improvement over the baseline model and is 21% better than the multi-criteria decision model-based solutions.

[1]  Ali Belhocine,et al.  Thermal analysis of a solid brake disc , 2012 .

[2]  Douglas M. Hawkins,et al.  The Problem of Overfitting , 2004, J. Chem. Inf. Model..

[4]  Weida Tong,et al.  QSAR Models Using a Large Diverse Set of Estrogens , 2001, J. Chem. Inf. Comput. Sci..

[5]  Hui Lü,et al.  Brake squeal reduction of vehicle disc brake system with interval parameters by uncertain optimization , 2014 .

[6]  S. Chakraborty,et al.  Parametric optimization of abrasive water-jet machining processes using grey wolf optimizer , 2018 .

[7]  Davide Ballabio,et al.  Evaluation of model predictive ability by external validation techniques , 2010 .

[8]  Neelesh Maheshwari,et al.  Finite Element Analysis and Multi-criteria Decision-Making (MCDM)-Based Optimal Design Parameter Selection of Solid Ventilated Brake Disc , 2021, Journal of The Institution of Engineers (India): Series C.

[10]  Asif Afzal,et al.  Thermo-Mechanical and Structural Performances of Automobile Disc Brakes: A Review of Numerical and Experimental Studies , 2018, Archives of Computational Methods in Engineering.

[11]  Chan-Duck Kim,et al.  Analysis of automotive disc brake squeal considering damping and design modifications for pads and a disc , 2016 .

[12]  R. Rabb Fatigue life evaluation of grey cast iron machine components under variable amplitude loading , 1999 .

[13]  S. Haldar,et al.  Search for accurate RSM metamodels for structural engineering , 2019, Journal of Reinforced Plastics and Composites.

[14]  Tian Jian Lu,et al.  An X-type lattice cored ventilated brake disc with enhanced cooling performance , 2015 .

[15]  Barkawi Sahari,et al.  Finite element analysis of thermoelastic contact problem in functionally graded axisymmetric brake disks , 2010 .

[17]  Qifei Jian,et al.  Numerical and experimental analysis of transient temperature field of ventilated disc brake under the condition of hard braking , 2017 .

[18]  A. Belhocine,et al.  Design and Thermomechanical Finite Element Analysis of Frictional Contact Mechanism on Automotive Disc Brake Assembly , 2020, Journal of Failure Analysis and Prevention.

[19]  Oday Ibraheem Abdullah,et al.  Structural and Contact Analysis of Disc Brake Assembly During Single Stop Braking Event , 2013, Transactions of the Indian Institute of Metals.

[20]  Andrew Lewis,et al.  Grey Wolf Optimizer , 2014, Adv. Eng. Softw..

[21]  Hossam Faris,et al.  Grey wolf optimizer: a review of recent variants and applications , 2017, Neural Computing and Applications.

[22]  M. Suh,et al.  Optimal location of brake pad for reduction of temperature deviation on brake disc during high-energy braking , 2021, Journal of Mechanical Science and Technology.

[23]  S. Chakraborty,et al.  Non-conventional optimization techniques in optimizing non-traditional machining processes: A review , 2013 .

[24]  J. Wahlström,et al.  An FEA approach to simulate disc brake wear and airborne particle emissions , 2019, Tribology International.

[25]  K. Kalita,et al.  Optimizing process parameters for laser beam micro-marking using genetic algorithm and particle swarm optimization , 2017 .

[27]  X. Bai,et al.  Fatigue fracture analysis of brake disc bolts under continuous braking condition , 2020 .

[28]  Y. Yildiz,et al.  Stress analysis of ventilated brake discs using the finite element method , 2010 .

[29]  G. Bombek,et al.  Prediction of the cooling factors of a vehicle brake disc and its influence on the results of a thermal numerical simulation , 2012 .

[30]  K. H. Lee,et al.  Structural optimization of a circumferential friction disk brake with consideration of thermoelastic instability , 2009 .

[31]  Ritesh R Bhat,et al.  Optimization of the brake parameter for a disc brake system to improve the heat dissipation using taguchi method , 2017 .

[32]  Chang-Sung Seok,et al.  Fatigue life assessment for brake disc of railway vehicle , 2009 .

[33]  C. Lee,et al.  Low and high cycle fatigue of automotive brake discs using coupled thermo-mechanical finite element analysis under thermal loading , 2018, Journal of Mechanical Science and Technology.

[34]  T. Lu,et al.  Heat transfer enhancement by X-type lattice in ventilated brake disc , 2016 .

[35]  Jörn Mehnen,et al.  A Simulation Based Approach to Model Design Influence on the Fatigue Life of a Vented Brake Disc , 2017 .

[36]  Hui Lü,et al.  Optimization design of a disc brake system with hybrid uncertainties , 2016, Adv. Eng. Softw..

[37]  Thomas J. Mackin,et al.  Thermal cracking in disc brakes , 2002 .