Optimal Design of Stiffened Plate Structures

Fatemi, Javad; Trompette, P.

doi:10.2514/6.2002-1672

Cited by 8 publications

(9 citation statements)

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“…The optimization results are then compared with those from the references. In the work of Fatemi and Trompette, a similar design problem was considered. Even though the geometry parameters in that literature are a bit different, the comparison between them is also possible.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…Even though the geometry parameters in that literature are a bit different, the comparison between them is also possible. In the aforementioned work, only two stiffeners were considered and the coordinates of the ends for both stiffeners were treated as design variables. By using GA as well as a local optimizer, the best layout for the two stiffeners were obtained, as shown in Figure A.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…Optimization results from other research works. A, Result from the work of Fatemi and Trompette; B, Result from the work of Zhang et al…”

Section: Numerical Examplesmentioning

confidence: 99%

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An engineering method for complex structural optimization involving both size and topology design variables

Chen

2018

Numerical Meth Engineering

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This work presents an engineering method for optimizing structures made of bars, beams, plates, or a combination of those components. Corresponding problems involve both continuous (size) and discrete (topology) variables. Using a branched multipoint approximate function, which involves such mixed variables, a series of sequential approximate problems are constructed to make the primal problem explicit. To solve the approximate problems, genetic algorithm (GA) is utilized to optimize discrete variables, and when calculating individual fitness values in GA, a second-level approximate problem only involving retained continuous variables is built to optimize continuous variables. The solution to the second-level approximate problem can be easily obtained with dual methods. Structural analyses are only needed before improving the branched approximate functions in the iteration cycles. The method aims at optimal design of discrete structures consisting of bars, beams, plates, or other components. Numerical examples are given to illustrate its effectiveness, including frame topology optimization, layout optimization of stiffeners modeled with beams or shells, concurrent layout optimization of beam and shell components, and an application in a microsatellite structure. Optimization results show that the number of structural analyses is dramatically decreased when compared with pure GA while even comparable to pure sizing optimization.

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Section: Numerical Examplesmentioning

confidence: 99%

Section: Numerical Examplesmentioning

confidence: 99%

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An engineering method for complex structural optimization involving both size and topology design variables

Chen

2018

Numerical Meth Engineering

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“…However, in case a base plate has a concave shape as Fig. 3, it is difficult to describe the geometry constraint mathematically with just the coordinates of two end points of the stiffener, which is the main reason why most of the previous researches [3][4][5][6][7][8][9] inside the base plate, where the stiffener cannot be placed, it becomes more difficult. In addition, if the base plate shape is complex, many inequality constraints are needed to define a feasible region O: For example, Fig.…”

Section: Necessity Of Geometry Algorithms In Stiffener Layout Optimizationmentioning

confidence: 99%

“…However, it was claimed that the overlooked variables (i.e. positions and lengths of stiffeners) also affect the dynamics of base structures significantly [3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

A geometry constraint handling technique for stiffener layout optimization problem

Lee¹,

Kim²,

Park³

2005

Journal of Sound and Vibration

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Beam stiffeners have frequently been used for raising natural frequencies of base structures. In stiffener layout optimization problems, most of the previous researches considering the position and/or the length of the stiffener as design variables dealt with structures having just simple convex shapes such as a square or rectangle. The reason was because concave shape structures have difficulties in formulating geometry constraints. In this paper, a new geometry constraint handling technique, which can define both convex and concave feasible regions and measure a degree of geometry constraint violation, was proposed. Evolution strategies (ESs) was utilized as an optimization tool. In addition, the constraint-handling technique of EVOSLINOC (EVOlution Strategies for scalar optimization with LInear and NOnlinear Constraints) was utilized to solve constrained optimization problems. From numerical examples, the proposed geometry constraint handling technique was verified and proved that the technique can easily be applied to structures in not only convex but also concave shapes, even with a protrusion or interior holes.

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A unified reanalysis approach for structural analysis, design, and optimization

Kirsch

2003

Structural and Multidisciplinary Optimization

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Optimal Design of Stiffened Plate Structures

Cited by 8 publications

References 0 publications

An engineering method for complex structural optimization involving both size and topology design variables

An engineering method for complex structural optimization involving both size and topology design variables

A geometry constraint handling technique for stiffener layout optimization problem

A unified reanalysis approach for structural analysis, design, and optimization

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