THREE-DIMENSIONAL DESIGN SENSITIVITY ANALYSIS USING A BOUNDARY INTEGRAL APPROACH

1997 ◽  
Vol 40 (4) ◽  
pp. 637-654 ◽  
Author(s):  
ZEKI ERMAN ◽  
ROGER T. FENNER
Keyword(s):  
Sensitivity Analysis ◽  
Three Dimensional ◽  
Design Sensitivity ◽  
Boundary Integral ◽  
Design Sensitivity Analysis ◽  
Integral Approach

Three-dimensional optimum design of the cooling lines of injection moulds based on boundary element design sensitivity analysis

2002 ◽  
Vol 216 (7) ◽  
pp. 1067-1071 ◽  
Author(s):  
H Zhou ◽  
D Li ◽  
S Cui
Keyword(s):  
Sensitivity Analysis ◽  
Objective Function ◽  
Boundary Element ◽  
Optimum Design ◽  
Three Dimensional ◽  
Design Sensitivity ◽  
Boundary Integral ◽  
Optimization Techniques ◽  
Design Sensitivity Analysis ◽  
Design Variables

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.

Shape Sensitivities and Optimal Configurations for Heat Diffusion Problems: a BEM Approach

1991 ◽  
Vol 113 (2) ◽  
pp. 287-295 ◽  
Author(s):  
S. Saigal ◽  
A. Chandra
Keyword(s):  
Sensitivity Analysis ◽  
Boundary Integral Equations ◽  
Thermal Sensitivity ◽  
Practical Interest ◽  
Design Sensitivity ◽  
Boundary Integral ◽  
Heat Diffusion ◽  
Design Sensitivity Analysis ◽  
Optimal Configurations ◽  
Diffusion Problems

Design sensitivity analysis, along with the shape optimization of heat diffusion problems using the boundary element method (BEM), is presented in this paper. The present approach utilizes the implicit differentiation of discretized boundary integral equations with respect to the design variables to yield the sensitivity equations. A technique based on the response of an object to a constant boundary temperature is presented for the evaluation of singular terms in the thermal sensitivity kernels. A procedure for the design sensitivity analysis of a reduced system of equations obtained via substructuring and condensation is also presented. The BEM formulations are implemented for both two-dimensional and axisymmetric objects. A number of sample problems are solved to demonstrate the accuracy of the present sensitivity formulation and to obtain optimal configurations of some mechanical components of practical interest, which are subjected to different thermal environments.

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