scholarly journals Three dimensional boundary element implicit differentiation formulation for design sensitivity analysis

1991 ◽  
Vol 15 (3-5) ◽  
pp. 1-10 ◽  
Author(s):  
R. Aithal ◽  
S. Saigal ◽  
S. Mukherjee
Author(s):  
H Zhou ◽  
D Li ◽  
S Cui

A three-dimensional numerical simulation using the boundary element method is proposed, which can predict the cavity temperature distributions in the cooling stage of injection moulding. Then, choosing the radii and positions of cooling lines as design variables, the boundary integral sensitivity formulations are deduced. For the optimum design of cooling lines, the squared difference between the objective temperature and the temperature of the cavity is taken as the objective function. Based on the optimization techniques with design sensitivity analysis, an iterative algorithm to reach the minimum value of the objective function is introduced, which leads to the optimum design of cooling lines at the same time.


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