Optimum design of plate structures with frequency constraints

Salajegheh, E.

doi:10.1108/02644409710192245

Cited by 5 publications

(4 citation statements)

References 21 publications

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“…These motivations to use concrete efficiently are driving the need for radical improvement in sustainable structures and environmental design. Developments in structural design are attained by adopting more efficient techniques like optimisation of materials consumption for the best satisfactory performance (Salajegheh, 1997). Currently, structural concrete, particularly in the deep foundation is inefficiently used in the built environment.…”

Section: Introductionmentioning

confidence: 99%

“…Optimisation is a mathematical technique established by engineers to design and generate products and structures both economically and efficiently (Salajegheh, 1997). Different optimisation methods such as Generalised Reduced Gradient (GRG), Sequential Quadratic Programming (SQP) and Genetic Algorithms (GA) have been developed to manage varieties of problems (Kao, 1998; Pyrz and Zawidzka, 2001).…”

Section: Introductionmentioning

confidence: 99%

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Design optimisation of reinforced concrete pile foundation using generalised reduced gradient algorithm

Dauda

Rahmon

Tijani

et al. 2022

FEBE

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PurposeThe purpose of this study is to find the optimum design of Reinforced Concrete (RC) pile foundation to enable efficient use of structural concrete with greater consequences for global environment and economy.Design/methodology/approachA non-linear optimisation technique based on the Generalised Reduced Gradient (GRG) algorithm was implemented to find the minimum cost of RC pile foundation in frictional soil. This was achieved by obtaining the optimum pile satisfying the serviceability and ultimate limit state requirements of BS 8004 and EC 7. The formulated structural optimisation procedure was applied to a case study project to assess the efficiency of the proposed design formulation.FindingsThe results prove that the GRG method in Excel solver is an active, fast, accurate and efficient computer programme to obtain optimum pile design. The application of the optimisation for the case study project shows up to 26% cost reduction compared to the conventional design.Research limitations/implicationsThe design and formulation of design constraints will be limited to provisions of BS 8004 and EC 7.Practical implicationsSince the minimum quantity of concrete was attained through optimisation, then minimum cement will be used and thus result in minimum CO2 emission. Therefore, the optimum design of concrete structures is a vital solution to limit the damage to the Earth's climate and the physical environment resulting from high carbon emissions.Originality/valueThe current study considers the incorporation of different soil ground parameters in the optimisation process rather than assuming any pile capacity value for the optimisation process.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design optimisation of reinforced concrete pile foundation using generalised reduced gradient algorithm

Dauda

Rahmon

Tijani

et al. 2022

FEBE

View full text Add to dashboard Cite

show abstract

“…These problems introduce some difficulties into the structural optimization process. Salajegheh attempted to reduce the cost of optimization with frequency constraints [4].…”

Section: Introductionmentioning

confidence: 99%

“…These problems introduce some difficulties into the structural optimization process. Salajegheh attempted to reduce the cost of optimization with frequency constraints [4].To improve the mechanical property for industry, structural optimization using a gradient method can be applied to engineering design because of the robustness of the solution. Information on the sensitivity of design variables to an objective function, which is very important to industrial design, is also evaluated.…”

mentioning

confidence: 99%

Eigenfrequency optimization of stiffened plate using Kriging estimation

Sakata

Ashida

Zako

2003

Computational Mechanics

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This paper describes the optimization of the beam stiffeners attached to plates in an eigenfrequency problem. The solution space is estimated using the Kriging method. A finite element analysis is carried out to evaluate the objective function at the sample points used for the estimation. The gradient method is used as a local optimizer. The Kriging estimation incurs relatively low cost, and is easy to combine with the gradient method.In this paper, we solve eigenfrequency optimization problems for a fully supported plate to maximize the minimum eigenfrequency and the difference between the 1st-and 2nd-order eigenfrequency. An optimization problem for an L-shaped plate with an eigenfrequency constraint is also solved. Good solutions are obtained for each example, and all the optimizations for these problems can be done at a lower computational cost. The results highlight the effectiveness of the method to solve the eigenfrequency optimization problems for the stiffened plate. IntroductionThis paper deals with the optimization of the stiffeners attached to plates in an eigenfrequency problem. The stiffened plate is useful in industry because it can easily improve the mechanical properties of a structure at a lower cost. A beam reinforcement for a plate or other general structure can enhance a mechanical property, and it will be available for higher reliability or longer life of a structure at a lower cost [1]. Recently, the more effective design using such as topology optimization of the stiffeners was reported by Gea [2] or Lee [3], while the easier design method to improve the current performance should be discussed for industrial use. For the purpose of the easier design, the evaluation and design process of the structure should be simplified.Considering a use of the stiffened plate, properties for the bending deformation, buckling load and vibration should be basically improved. Such kinds of mechanical behavior of a structure are often analyzed using numerical analysis method, such as finite element method (FEM). Some kinds of FEM calculation incur higher computational costs, and present some numerical problems. As an Eigenfrequency problem is solved using both iteration and convergent methods such as the subspace method, we consider that numerical errors in addition to increasing the computational cost may be introduced. These problems introduce some difficulties into the structural optimization process. Salajegheh attempted to reduce the cost of optimization with frequency constraints [4].To improve the mechanical property for industry, structural optimization using a gradient method can be applied to engineering design because of the robustness of the solution. Information on the sensitivity of design variables to an objective function, which is very important to industrial design, is also evaluated. However, optimization using a gradient method involves the iterated calling of the solver, such that the computational cost of optimization tends to increase. Additionally, the numerical errors and noises that...

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Optimum design of plate structures using three-point approximation

Salajegheh

1997

Structural Optimization

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Optimum design of plate structures with frequency constraints

Cited by 5 publications

References 21 publications

Design optimisation of reinforced concrete pile foundation using generalised reduced gradient algorithm

Design optimisation of reinforced concrete pile foundation using generalised reduced gradient algorithm

Eigenfrequency optimization of stiffened plate using Kriging estimation

Optimum design of plate structures using three-point approximation

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