De. Smith et al., Optimal design for polymer extrusion. Part I: Sensitivity analysis for nonlinear steady-state systems, COMPUT METH, 167(3-4), 1998, pp. 283-302
Citations number
45
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
We present a general framework to obtain analytical design sensitivities fo
r steady-stare nonlinear systems where special emphasis is given to design
variables that define prescribed boundary conditions. The sensitivities are
derived for a general response functional using both the direct and adjoin
t methods and are compared to show that the two sensitivity analysis method
s yield identical expressions. Both adjoint and direct sensitivities for th
e generalized Hele-Shaw system, which models the flow of purely viscous non
-Newtonian fluids through thin cavities, are obtained using weak formulatio
ns and then discretized for the finite element analysis. These sensitivitie
s are used with numerical optimization to design polymer sheeting dies with
minimum pressure drop and reduced velocity variation across the die exit.
(C) 1998 Published by Elsevier Science S.A. All rights reserved.