Application of Multi-objective Topology Optimization Algorithm in Heat Transfer Optimization of Hydraulic Brake
In order to effectively improve the heat transfer performance of the hydraulic brake,topological optimization of design variables such as the thickness of the cold disc,the height of the air groove,the angle of the rib surface and the number of the rib plate was carried out based on the multi-objective optimization algorithm,which significantly improved the heat transfer efficiency and realized the synchronous reduction of the peak temperature and mass of the brake disc.The heat transfer model of cold disk was established by PDE equation,and the two-dimensional transient temperature field under constant pressure and constant speed braking condition was solved by taking negative heat flow as boundary condition.Based on ANSYS Workbech,the three-dimensional parameterized heat transfer model of air cold pan was established,and the simulation results of temperature field were verified by bench test method.The discrete samples of design variables and optimization objectives were obtained by central combination design method.The proxy model was constructed by multiple quadratic regression model and the error was checked.The optimization mathematical model was established,the quality optimization objective was transformed into boundary conditions,and the solution sets of different quality intervals were obtained by sequential quadratic programming algorithm.Combining min-max standardization and weighted normalization method,the optimal solution set was converted into dimensionless index evaluation value,and the cost performance evaluation of the optimization goal was realized.The optimization results show that,the mass of the air cold dish can be reduced by 8.3％,the peak temperature can be reduced by 3.7％,and the high temperature holding time can be shortened obviously,which has good economic and social benefits.
hydraulic brakeheat transfersurrogate modeltopology optimizationfinite element
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