A dynamic penalty function method for the solution of structural optimization problems

Snyman, J. A.; Stander, Nielen; Roux, Willem

doi:10.1016/0307-904x(94)90307-7

Cited by 72 publications

(38 citation statements)

References 14 publications

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“…The optimization method used in this study is the DY-NAMIC-Q method of Snyman et al 5) This approach involves the application of a dynamic trajectory method for unconstrained optimization, 10,11) adapted to handle constrained problems through appropriate penalty function formulations. 12,13) This DYNAMIC method is applied to successive approximate Quadratic subproblems 6,7) of the original problem (here problems (1 and 2)).…”

Section: Optimization Algorithmmentioning

confidence: 99%

“…In contrast, the current study uses CFD combined with mathematical optimization to perform a systematic design optimization process for tundish furniture design. This is achieved in an automatic fashion in this study, by linking the commercial CFD code FLUENT 3) and its pre-processor GAMBIT 4) to the DYNAMIC-Q algorithm of Snyman et al, 5) in which a gradient method for constrained optimization is applied to successive approximate quadratic subproblems. 6,7) When injecting a pulse of tracer element at the shroud (inlet) of a tundish, this tracer is detected at the Submerged Entry Nozzle (SEN) (outlet of the tundish) after a certain amount of time.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Modeling of Iron and Steel Making Processes. Design Optimization of a Single-strand Continuous Caster Tundish Using Residence Time Distribution Data.

et al. 2001

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This paper contains the results of a design optimization study performed on the steady-casting operation of the Columbus Stainless single-strand stainless steel caster tundish. Residence Time Distribution (RTD) data such as minimum residence time (or plug flow volume fraction) and dead volume are used as objective functions in the mathematical optimization process. Water is used in the first two case studies as modeling fluid to allow for comparison with water model results. Liquid steel is used in the last case study to investigate the effect of temperature and buoyancy on the resulting flow patterns and the optimum design. Two separate tundish configurations are considered. The first has one dam and one weir, while the second comprises a baffle with angled holes and an impact pad. Significant improvements of up to 34 % in minimum residence time are obtained for the second configuration.

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Section: Optimization Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Iron and Steel Making Processes. Design Optimization of a Single-strand Continuous Caster Tundish Using Residence Time Distribution Data.

et al. 2001

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“…The single-objective nonlinear optimization problems are able to be solved well by combining the penalty function's ability to handle constraints with the optimal performance of DE_CMSBHS algorithm [13,14]. The optimization problem of hybrid A F B 0 D S laminates with immunity to HTSD is a typical nonlinear mixed integer-real single-objective optimization problem.…”

Section: Introductionmentioning

confidence: 99%

Optimization of Hybrid Laminates with Extension-Shear Coupling

Cui

2018

International Journal of Aerospace Engineering

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The introduction of hybrid composites into the structure with coupling effect can greatly reduce the cost of materials. The expressions of stiffness coefficient, thermal stress, and thermal moment for hybrid laminates are derived based on the geometrical factors of laminates, and the necessary and sufficient conditions for the hybrid extension-shear-coupled laminates with immunity to hygrothermal shear distortion (HTSD) are further derived. The extension-shear-coupled effect of hybrid laminates is optimized with improved differential evolution algorithm. Results are presented for the hybrid laminates that consist of carbon fiber and glass fiber composite materials. The hygrothermal effect and extension-shear-coupled effect are simulated and verified, meanwhile the robustness of hybrid laminates is analyzed by Monte Carlo method.

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“…Each objective function evaluation is the solution of a CFD simulation. Many optimisation algorithms can be found that have been developed to deal with the difficulties mentioned above, some such algorithms are presented in Ref [58][59][60][61][62][63] Unfortunately there are a limited number of optimisation algorithms available in the SciPy python library when considering multiple design variables and constraint functions. The objective function is thus minimised using the Sequential Least SQuares Programming (SLSQP) algorithm available in the SciPy python library "fmin slsqp" [53].…”

Section: Numerical Optimisation Algorithmmentioning

confidence: 99%

Geometric Optimization for Maximum Heat Transfer Density Rate From Cylinders Rotating in Natural Convection

Page

2012

Proceeding of Proceedings of CHT-12. ICHMT International Symposium on Advances in Computational Heat Transfer.

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Un ni iv ve er rs si it ty y o of f P Pr re et to or ri ia a i Abstract Title: Geometric optimization for the maximum heat transfer density rate from cylinders rotating in natural convection Author:LG Page Supervisors: Prof T Bello-Ochende and Prof JP Meyer Department: Mechanical and Aeronautical Engineering University:University of Pretoria Degree:Masters in Engineering (Mechanical Engineering)In this study we investigates the thermal behaviour of an assembly of consecutive cylinders in a counter-rotating configuration cooled by natural convection with the objective of maximizing the heat transfer density rate (heat transfer rate per unit volume). A numerical model was used to solve the governing equations that describe the temperature and flow fields and an optimisation algorithm was used to find the optimal structure for flow configurations with two or more degrees of freedom. The geometric structure of the consecutive cylinders was optimized for each flow regime (Rayleigh number) and cylinder rotation speed for one and two degrees of freedom. Smaller cylinders were placed at the entrance to the assembly, in the wedge-shaped flow regions occupied by fluid that had not yet been used for heat transfer, to create additional length scales to the flow configuration.It was found that the optimized spacing decreases and the heat transfer density rate increases as the Rayleigh number increases, for the optimized structure. It was also found that the optimized spacing decreases and the maximum heat transfer density rate increases, as the cylinder rotation speed was increased for the single scale configuration at each Rayleigh number. Results further showed that there was an increase in the heat transfer density rate of the rotating cylinders over stationary cylinders for a single scale configuration.For a multi scale configuration it was found that there was almost no effect of cylinder rotation on the maximum heat transfer density rate, when compared to stationary cylinders, at each Rayleigh number; with the exception of high cylinder rotation speeds, which serve to suppress the heat transfer density rate. It was, however, found that the optimized spacing decreases as the cylinder rotation speed was increased at each Page iii Rayleigh number. Results further showed that the maximum heat transfer density rate for a multi scale configuration (with stationary cylinders) was higher than a single scale configuration (with rotating cylinders) with an exception at very low Rayleigh numbers.

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A dynamic penalty function method for the solution of structural optimization problems

Cited by 72 publications

References 14 publications

Mathematical Modeling of Iron and Steel Making Processes. Design Optimization of a Single-strand Continuous Caster Tundish Using Residence Time Distribution Data.

Mathematical Modeling of Iron and Steel Making Processes. Design Optimization of a Single-strand Continuous Caster Tundish Using Residence Time Distribution Data.

Optimization of Hybrid Laminates with Extension-Shear Coupling

Geometric Optimization for Maximum Heat Transfer Density Rate From Cylinders Rotating in Natural Convection

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