1998
DOI: 10.1243/0954408981529259
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An inverse method for prediction of the required temperature distribution in the creep forming process

Abstract: To achieve the creep forming of glass sheet from designer specifications, the manufacturer has to know the required temperature distribution in the glass sheet accurately: a small variation of the temperature produces great change in the viscosity, and therefore, in the final shape of the sheet. In order to find this distribution, the authors propose an inverse identification procedure based on an optimization method and finite element analyses. The inverse problem is solved using a modified Levenberg-Marquard… Show more

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Cited by 11 publications
(9 citation statements)
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“…For instance a numerical optimisation method to find the optimum tool geometry in a model for glass pressing was introduced in [44]. Optimisation methods have also been developed to estimate heat transfer coefficients [11] or the initial temperature distribution in glass forming simulation models [43]. An engineering approach to find the optimum preform shape for glass blowing was addressed in [41].…”
Section: Process Simulationmentioning
confidence: 99%
“…For instance a numerical optimisation method to find the optimum tool geometry in a model for glass pressing was introduced in [44]. Optimisation methods have also been developed to estimate heat transfer coefficients [11] or the initial temperature distribution in glass forming simulation models [43]. An engineering approach to find the optimum preform shape for glass blowing was addressed in [41].…”
Section: Process Simulationmentioning
confidence: 99%
“…In engineering design, inverse models are often created to allow designers to identify the necessary design parameters to yield a specific set of specifications. For instance, Moreau et al [15] present a method to determine the initial temperature distribution necessary to post-creep glass dimensions to specification. Lu et al [16] present a Backward Mapping Methodology for Design Synthesis that breaks the design space into feature-based subregions and then fits linear approximations between the each sub-region and each performance variable.…”
Section: Related Workmentioning
confidence: 99%
“…• Problem Size: [5,2], [15,2] • Mapping: Many-to-One, One-to-One As in the parameter robustness study, the scale factor F and the cross-over ratio CR were set to 0.5 and 0.9, respectively, and the values of NP and NS were set to 10 and 5, respectively based on the results of the robustness study. For the Manyto_One problems, all but 2 inputs are designated as position variables.…”
Section: Test Problems For Detailed Assessment Studymentioning
confidence: 99%
“…Since the glass sheet has been preheated before entering to the main chamber of creep forming, the time of forming does not usually exceed 60 s. For producing complex shapes and because of economical reasons, using variable furnace temperatures seem to be the rational solution [15]. After selection of suitable finite element software and coupling it with another program, it has been tried to predict the acceptable temperature variations.…”
Section: Temperature Variationmentioning
confidence: 99%