Error Decomposition and Adaptivity for Response Surface Approximations from PDEs with Parametric Uncertainty

2015 ◽  
Vol 3 (1) ◽  
pp. 1020-1045 ◽  
Author(s):  
C. M. Bryant ◽  
S. Prudhomme ◽  
T. Wildey
Keyword(s):  
Response Surface ◽  
Parametric Uncertainty ◽  
Response Surface Approximations ◽  
Error Decomposition

Determination of the Optimal Locations for Injection Molding Gates with Higher Order Response Surface Approximations

2013 ◽  
Vol 479-480 ◽  
pp. 126-130 ◽  
Author(s):  
Kun Nan Chen ◽  
Wen Der Ueng
Keyword(s):  
Injection Molding ◽  
Pressure Distribution ◽  
Response Surface ◽  
Injection Pressure ◽  
Optimization Method ◽  
Higher Order ◽  
Programming Technique ◽  
Location Optimization ◽  
Gate Location ◽  
Response Surface Approximations

This paper proposed a gate location optimization scheme to minimize the maximum injection pressure in plastic injection molding. The method utilized a series of higher order response surface approximations (RSA) to model the maximum injection pressure distribution with respect to gate locations, and the global minimum of these response surface models were subsequently sought by a global optimization method based on a multi-start sequential quadratic programming technique. The design points for RSA were evaluated by the finite element method. After a sequence of repetitions of RSA and optimization, the converged minimizer would represent the optimal gate location. A rectangular plate with two segments of different thicknesses was selected to demonstrate the effectiveness of the procedure. The variation of the thicknesses causes the optimal gate location to deviate from the center and induce multiple valleys in the maximum injection pressure distribution, which is ideal for the application of the higher order RSA and a global searching technique.

Pointwise Bias Error Bounds and Min-Max Design for Response Surface Approximations

AIAA Journal ◽  
2005 ◽  
Vol 43 (8) ◽  
pp. 1797-1807 ◽  
Author(s):  
Melih Papila ◽  
Raphael T. Haftka ◽  
Layne T. Watson
Keyword(s):  
Response Surface ◽  
Error Bounds ◽  
Bias Error ◽  
Response Surface Approximations
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