Development of a Numerical Optimization Method for Blowing Glass Parison Shapes

2011 ◽  
Vol 133 (1) ◽  
Author(s):  
J. A. W. M. Groot ◽  
C. G. Giannopapa ◽  
R. M. M. Mattheij
Keyword(s):  
Computer Simulation ◽  
Simulation Model ◽  
Level Set ◽  
Optimization Method ◽  
Pressure Vessels ◽  
Computer Simulation Model ◽  
Level Set Function ◽  
Glass Containers ◽  
Wide Range ◽  
Air Interfaces

Industrial glass blowing is an essential stage of manufacturing glass containers, i.e., bottles or jars. An initial glass preform is brought into a mold and subsequently blown into the mold shape. Over the past few decades, a wide range of numerical models for forward glass blow process simulation has been developed. A considerable challenge is the inverse problem: to determine an optimal preform from the desired container shape. A simulation model for blowing glass containers based on finite element methods has previously been developed (Giannopapa, 2008, “Development of a Computer Simulation Model for Blowing Glass Containers,” ASME J. Manuf. Sci. Eng., 130, p. 041003; Giannopapa and Groot, 2007, “A Computer Simulation Model for the Blow-Blow Forming Process of Glass Containers,” 2007 ASME Pressure Vessels and Piping Conference and 8th International Conference on CREEP and Fatigue at Elevated Temperature). This model uses level set methods to track the glass-air interfaces. The model described in a previous paper of the authors showed how to perform the forward computation of a final bottle from the given initial preform without using optimization. This paper introduces a method to optimize the shape of the preform combined with the existing simulation model. In particular, the new optimization method presented aims at minimizing the error in the level set representing the glass-air interfaces of the desired container. The number of parameters used for the optimization is restricted to a number of control points for describing the interfaces of the preform by parametric curves, from which the preform level set function can be reconstructed. Numerical applications used for the preform optimization method presented are the blowing of an axisymmetrical ellipsoidal container and an axisymmetrical jar.

Development of a Numerical Optimisation Method for Blowing Glass Parison Shapes

2008 ◽  
Author(s):  
J. A. W. M. Groot ◽  
C. G. Giannopapa ◽  
R. M. M. Mattheij
Keyword(s):  
Simulation Model ◽  
Level Set ◽  
Numerical Models ◽  
Level Set Methods ◽  
Level Set Function ◽  
Glass Containers ◽  
Wide Range ◽  
Set Function ◽  
Container Shape ◽  
Air Interfaces

Industrial glass blowing is an essential stage of manufacturing glass containers, i.e. bottles or jars. An initial glass preform is brought into a mould and subsequently blown into the mould shape. Over the last few decades, a wide range of numerical models for forward glass blow process simulation have been developed. A considerable challenge is the inverse problem: to determine an optimal preform from the desired container shape. A simulation model for blowing glass containers based on finite element methods has previously been developed [1, 2]. This model uses level set methods to track the glass-air interfaces. The model described in a previous paper of the authors showed how to perform the forward computation of a final bottle from the given initial preform without using optimisation. This paper introduces a method to optimise the shape of the preform combined with the existing simulation model. In particular, the new optimisation method presented aims at minimising the error in the level set representing the glass-air interfaces of the desired container. The number of parameters used for the optimisation is restricted to a number of control points for describing the interfaces of the preform by parametric curves, from which the preform level set function can be reconstructed. Numerical applications used for the preform optimisation method presented are the blowing of an axi-symmetrical ellipsoidal container and an axi-symmetrical jar.

Numerical Shape Optimization in Industrial Glass Blowing

2014 ◽  
Vol 136 (6) ◽  
Author(s):  
J. A. W. M. Groot ◽  
C. G. Giannopapa ◽  
R. M. M. Mattheij
Keyword(s):  
Computer Simulation ◽  
Simulation Model ◽  
Optimization Method ◽  
Computer Simulation Model ◽  
Control Points ◽  
Industrial Glass ◽  
Forming Process ◽  
Glass Containers ◽  
Marquardt Algorithm ◽  
Container Manufacturing

Industrial glass blowing is an essential stage of manufacturing hollow glass containers, e.g., bottles, jars. A glass preform is brought into a mold and inflated with compressed air until it reaches the mold shape. A simulation model for blowing glass containers based on finite element methods, which adopts a level set method to track the glass–air interfaces, has previously been developed [Giannopapa and Groot, 2007, “A Computer Simulation Model for the Blow–Blow Forming Process of Glass Containers,” Paper No. PVP2007-26408, pp. 79–86; Giannopapa, C. G., 2008, “Development of a Computer Simulation Model for Blowing Glass Containers,” ASME J. Manuf. Sci. Eng., 130(4), p. 041003; Giannopapa and Groot, 2011, “Modeling the Blow–Blow Forming Process in Glass Container Manufacturing: A Comparison Between Computations and Experiments,” ASME J. Fluids Eng., 133(2), p. 021103]. A considerable challenge in glass blowing is the inverse problem: to determine an optimal preform from the desired container shape. In previous work of the authors [Groot et al., 2009, “Numerical Optimisation of Blowing Glass Parison Shapes,” ASME Paper No. PVP2009-77946; Groot et al., 2011, “Development of a Numerical Optimization Method for Blowing Glass Parison Shapes,” ASME J. Manuf. Sci. Eng., 133(1), p. 011010] a numerical method was introduced for optimizing the shape of the preform. The optimization method described the shape of the preform by parametric curves, e.g., Bezier-curves or splines, and employed a modified Levenberg–Marquardt algorithm to find the optimal positions of the control points of the curves. A combined finite difference and Broyden method was used to compute the Jacobian of the residual with respect to changes in the positions of the control points. The objective of this paper is to perform an error analysis of the optimization method previously introduced and to improve its accuracy and performance. The improved optimization method is applied to modeled containers of industrial relevance, which shows its usefulness for practical applications.

scholarly journals Modeling the Blow-Blow Forming Process in Glass Container Manufacturing: A Comparison Between Computations and Experiments

2011 ◽  
Vol 133 (2) ◽  
Author(s):  
C. G. Giannopapa ◽  
J. A. W. M. Groot
Keyword(s):  
Computer Simulation ◽  
Temperature Distribution ◽  
Simulation Model ◽  
Glass Container ◽  
Glass Temperature ◽  
Computer Simulation Model ◽  
Forming Process ◽  
Glass Thickness ◽  
Glass Containers ◽  
Container Manufacturing

The blow-blow forming process is a widely used technique in glass container manufacturing (e.g., production of glass bottles and jars). This process typically takes few seconds and is characterized by large deformations and temperature gradients. In the work of Giannopapa (2008, “Development of a Computer Simulation Model for Blowing Glass Containers,” ASME J. Manuf. Sci. Eng., 130, p. 041003), the development of a computer simulation model for glass blowing was presented and demonstrated on dummy problems with an initially uniform glass temperature. The objective of this paper is to extend and further develop the simulation model to be used for industrial purposes. To achieve this, both steps of the blow-blow forming process of glass containers are simulated and tested against real industrial problems. In this paper, a nonuniform temperature distribution is considered for the blowing of the preform, which is reconstructed from temperature data provided by the industry. The model is validated by means of several examples regarding conservation properties, behavior of the flow, and comparison of the glass thickness with experimental measurements. Furthermore, by means of these examples, the sensitivity of the glass thickness to inaccuracies in the measurement and reconstruction of the initial temperature distribution is verified.

scholarly journals Numerical Optimisation of Blowing Glass Parison Shapes

2009 ◽  
Author(s):  
J. A. W. M. Groot ◽  
C. G. Giannopapa ◽  
R. M. M. Mattheij
Keyword(s):  
Inverse Problem ◽  
Level Set ◽  
Numerical Models ◽  
Level Set Methods ◽  
Analytical Approximation ◽  
Initial Guess ◽  
Glass Containers ◽  
Wide Range ◽  
Container Shape ◽  
Air Interfaces

Industrial glass blowing is an essential stage of manufacturing glass containers, i.e. bottles or jars. An initial glass preform is brought into a mould and subsequently blown into the mould shape. Over the last few decades, a wide range of numerical models for forward glass blow process simulation have been developed. A considerable challenge is the inverse problem: to determine an optimal preform from the desired container shape. A simulation model for blowing glass containers based on finite element methods has previously been developed [1, 2]. This model uses level set methods to track the glass-air interfaces. In previous work of the authors [3] a numerical method was introduced for optimising the shape of the preform. The optimisation method aims at minimising the error in the level set representing the inner container surface. The objective of this paper is to analyse the inverse problem by means of an analytical approximation of the flow problem and to improve the performance of the optimisation method previously introduced. In particular an initial guess of the preform for the iterative optimisation algorithm is constructed from the approximate solution of the inverse problem. The main goals of this work are the analysis of the inverse problem and the development of the optimisation method in consideration of the application to containers of industrial relevance.

scholarly journals Validation of a Simulation Model for a Combined Otto and Stirling Cycle Power Plant

2010 ◽  
Author(s):  
Jim McGovern ◽  
Barry Cullen ◽  
Michel Feidt ◽  
Stoian Petrescu
Keyword(s):  
Computer Simulation ◽  
Power Plant ◽  
Simulation Model ◽  
Combined Cycle ◽  
Optimization Techniques ◽  
Operating Conditions ◽  
Computer Simulation Model ◽  
Stirling Cycle ◽  
Wide Range ◽  
Combined Cycle Plant

A project has been underway at the Dublin Institute of Technology (DIT) to investigate the feasibility of a combined Otto and Stirling cycle power plant in which a Stirling cycle engine would serve as a bottoming cycle for a stationary Otto cycle engine. This type of combined cycle plant is considered to have good potential for industrial use. This paper describes work by DIT and collaborators to validate a computer simulation model of the combined cycle plant. In investigating the feasibility of the type of combined cycle that is proposed there are a range of practical realities to be faced and addressed. Reliable performance data for the component engines are required over a wide range of operating conditions, but there are practical difficulties in accessing such data. A simulation model is required that is sufficiently detailed to represent all important performance aspects and that is capable of being validated. Thermodynamicists currently employ a diverse range of modeling, analysis and optimization techniques for the component engines and the combined cycle. These techniques include traditional component and process simulation, exergy analysis, entropy generation minimization, exergoeconomics, finite time thermodynamics and finite dimensional optimization thermodynamics methodology (FDOT). In the context outlined, the purpose of the present paper is to come up with a practical validation of a practical computer simulation model of the proposed combined Otto and Stirling Cycle Power Plant.

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