Criteria and Methods of Structural Optimization

Brandt, Andrej M.; Dzieniszewski, Wojciech; Jendo, Stefan; Marks, Wojciech; Owczarek, Stefan; Wasiutyński, Zbigniew

doi:10.1007/978-94-009-1159-8

Cited by 6 publications

(10 citation statements)

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“…However, the sufficient conditions were set in the work of Mróz [13]. Considerations of this issue can also be found in the work of Brandt [14] and Dems and Mróz [15].…”

Section: The Constant Criterion Surface Algorithmmentioning

confidence: 99%

Multi-constrained topology optimization using constant criterion surface algorithm

Mrzygłód¹

2012

Bulletin of the Polish Academy of Sciences: Technical Sciences

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Abstract. This paper sets out to describe a multi-constrained approach to topology optimization of structures. In the optimization, a constant criterion surface algorithm and the multi-constraint procedure is used. The multi-constraint procedure consists of constraints normalization and equivalent design space assembling. The work is illustrated by an example of the L-shaped domain optimization with the horizontal line support and complex loads. The example takes into consideration stress, fatigue and compliance constraints. The separate and simultaneous application of constraints resulted in significant differences in structure topology layouts. The application of a fatigue constraint gave more conservative results when compared to static stress or compliance limitations. The multi-constrained approach allowed effectively lowering the mass of the structure while satisfying all constraints.

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“…However, the sufficient conditions were set in the work of Mróz [13]. Considerations of this issue can also be found in the work of Brandt [14] and Dems and Mróz [15].…”

Section: The Constant Criterion Surface Algorithmmentioning

confidence: 99%

Multi-constrained topology optimization using constant criterion surface algorithm

Mrzygłód¹

2012

Bulletin of the Polish Academy of Sciences: Technical Sciences

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“…This numerical example illustrates the application of the used optimization methods to the circular footing design problem and confirming their utility to reach the optimum solution., for more details, the reader is referred to [2,7] . The following values were assigned to the input parameters of the subroutine "CON ".…”

Section: Numerical Examplementioning

confidence: 99%

“…Research" to help the designer in choosing the appropriate criterion to achieve the best results satisfying design restrictions [1] . Mathematical programming techniques are generally studied as a part of operations research [2] .…”

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confidence: 99%

Economical Design of Circular Footings Adjacent to Slopes on Sandy Soils

Zedan

Farhan

Alas

2008

Tikrit j. eng. sci.

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The analysis presented here introduces three optimization techniques namely, Hooke and Jeeves, Fletcher-Reeves and Davidon-Fletcher-Powell as applied to design of the circular footing adjacent to slopes. A computer program was developed to solve this design problem using the conventional structural design approach in conjunction with these methods, A simple study was performed to detect the sensitivity of the objective function to its design variables. A further parametric study was performed regarding the geometric configurations of the footing and loading conditions in order to provide the geotechnical engineer with some useful design curves. Hooke and Jeeves method has been proved to be very instructive in exposing the effect of the other methods. It has been proved that the minimum cost of the circular footing increases with the increase of the load whereas it decreases as the angle of internal friction increases and the Dcl/B ratio (column diameter/diameter of footing).

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“…The idea described above, which has been developed almost since antiquity (cf. [1,4,[8][9][10]20]) can be found almost everywhere -new areas of light materials applications are being discovered, e.g. in household appliances, in the construction of machinery and equipment for virtually all branches of the economy, or in construction (Fig.…”

Section: Introductionmentioning

confidence: 99%

Designing of Steel CHS Columns Showing Maximum Compression Resistance

Marcinowski

Sadowski

2021

Civil and Environmental Engineering Reports

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The paper deals with a shape optimisation procedure of steel, compressed bars. Circular hollow sections (CHS) of variable cross sections and variable wall thickness are taken into account. The proposed procedure for designing of steel rods exhibiting maximum compression resistance is effective and possible to use in engineering practice. The advantage of the proposed shape of the bar is that it allows to increase the value of its load carrying capacity, i.e. it ensures the transfer of a higher value of compressive force than similar, solid struts of the same mass and length. The extent of the increase in the load capacity relative to the load capacity of the reference solid, cylindrical bar depends on the slenderness of the reference bar and ranges from 60% to 170%. Due to this very beneficial fact, it can be used wherever it is required to maintain a certain stiffness and an increased value of compressive force is desired, as well as in constructions where it is necessary to reduce weight while maintaining the adopted mechanical parameters, e.g. values of load bearing capacity. Final results achieved in the research were presented in the form of the flow chart allowing to design the compressed columns of optimum shape.

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Criteria and Methods of Structural Optimization

Cited by 6 publications

References 0 publications

Multi-constrained topology optimization using constant criterion surface algorithm

Multi-constrained topology optimization using constant criterion surface algorithm

Economical Design of Circular Footings Adjacent to Slopes on Sandy Soils

Designing of Steel CHS Columns Showing Maximum Compression Resistance

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