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TOOLED THICK COMPOSITES by ARVEN H. SAUNDERS III ...

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solved in a similar manner, using the values obtained from the optimal cure temperature cycle.<br />

The iterative sequence through the optimizer and numerical model and decision block was<br />

carried out until the optimality conditions were satisfied. At convergence, the values of the<br />

decision variables constituted the time-optimal cure cycle. Nielsen (Nielsen, 2002b) used finite<br />

difference numerical models to simulate a resin transfer molding (RTM) process. The simulation<br />

was used on-the-fly in real time to predict and guide controller decisions. The controller<br />

accomplished uniform mold fill <strong>by</strong> controlling the flow rate of three independent resin injection<br />

pumps.<br />

Citing limitations of gradient-based methods, many researchers have employed<br />

evolutionary methods such as genetic algorithms (GAs) As pointed out <strong>by</strong> Bag et al (2009)<br />

classical gradient-based search techniques may not be optimal in the sense that they can be<br />

trapped in local minima and require the objective function to be continuous within the search<br />

space. In contrast, stochastic optimization techniques, such as GAs, can overcome these<br />

difficulties and are capable of finding the global solution. Other evolutionary methods include<br />

simulated annealing and differential evolution. Pettersson et al (2009) used a GA yielding states<br />

of operation for a blast furnace on a Pareto-optimal front with nondominated solutions. Mitra et<br />

al (2009) carried out multiobjective pareto optimization for an iron ore induration process using<br />

an evolutionary (GA) algorithm. Mahfouf et al (2005) used GAs to tackle optimization of heat<br />

treatment and chemical constituent percentages for steel alloys.<br />

2.8 Material And Process Variability Effects On Optimal Cure Cycles<br />

The types of empirical cure and viscosity models previously discussed provide good<br />

predictions in relation to the actual measured data that are based upon. These models are<br />

routinely used as if they are deterministic in nature, but this does not account for several<br />

sources of variability seen in practice. Composite materials can exhibit significant batch -to-<br />

batch variability and undergo out-time effects that can significantly change their behaviors<br />

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