Multi-parametric constraint paths in optimization of pre-stressed membrane
(English)Article in journal (Refereed) Submitted
Optimization of significantly non-linear structures is a demanding task. The paper discusses how boundaries of the feasible region are followed as generalized equilibrium paths in parametric space. As the optimum normally activates one or more inequalities, solutions on the constraint paths are evaluated with respect to the cost function. For few design parameters, this method is efficient and robust. The method is demonstrated for a pre-stressed pressurized membrane of three parameters, with displacement and instability constraints, and with strain limits. Numerical examples show several constraint paths for theproblem, and indicate how these are used in optimization.
Space membranes; Quasi-static equilibrium; Solution manifolds; Parameter dependence; Pressurization; Hyper-elastic material
IdentifiersURN: urn:nbn:se:kth:diva-117937OAI: oai:DiVA.org:kth-117937DiVA: diva2:603951
QS 20132013-02-072013-02-072013-05-14Bibliographically approved