Constructal design method dealing with stiffened plates and symmetry boundaries

Amaral, Rodrigo Reis; Troina, Grégori S.; Fragassa, Cristiano; Pavlović, Ana; Cunha, Marcelo Langhinrichs; Rocha, Luíz Alberto Oliveira; Santos, Elizaldo Domingues dos; Isoldi, Liércio André

doi:10.1016/j.taml.2020.01.042

Cited by 6 publications

(5 citation statements)

References 21 publications

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“…In Troina et al [14] an advanced computational model was developed and applied with the scope to perform a geometric optimization of thin steel plates with stiffeners when subjected to uniform transverse loads. In Amaral et al [15] the same discussion was focused on the presence of symmetry boundaries and their effect on the stiffness of this plates.…”

Section: Introductionmentioning

confidence: 99%

Computational Model Verification and Validation of Elastoplastic Buckling Due to Combined Loads of Thin Plates

Baumgardt

Fragassa

Rocha

et al. 2023

Metals

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Thin plates are widely used in various engineering applications. In some cases, these structural components may buckle due to compressive loads, which can be aggravated by lateral loads. Several authors have studied the elastoplastic buckling behavior of thin plates considering parameters such as material and geometric properties, support conditions, and initial out-of-plane imperfections. Some studies have also investigated the effects of notches and holes on the ultimate buckling stress of thin plates. The main goal of the present work is to verify and validate a computational model developed using the Finite Element Method via ANSYS® software, to simulate the mechanical behavior of metallic plates under uniaxial or biaxial compression combined with lateral load. The proposed numerical model was verified and validated by comparing its results with analytical, numerical, and experimental solutions found in the literature, reaching maximum differences and errors of around 5%. In sequence, the verified and validated computational model was used in a simple case study: a simply supported plate with a centered rectangular perforation and subjected to an in-plane compressive biaxial load combined with a lateral load, considering five different metallic materials: AISI 4130 steel, AH-36 steel, spheroidal graphite iron (SGI), compact graphite iron (CGI) and Al 7075-T651 aluminum alloy. The results obtained are consistent and, as expected, prove the applicability of the proposed computational model. From this, the biaxial elastoplastic buckling behavior was evaluated, indicating that among the studied cases the higher ultimate stress and the smallest maximum deflection were achieved, respectively, by the plates made of AISI 4130 steel and AH-36 steel.

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Section: Introductionmentioning

confidence: 99%

Computational Model Verification and Validation of Elastoplastic Buckling Due to Combined Loads of Thin Plates

Baumgardt

Fragassa

Rocha

et al. 2023

Metals

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“…Cho, Koo, and Jung 8 put forward a car body lightweight design method based on material selection and size optimization. Amaral et al 9,10 proposed a new design method for plates optimization considering symmetry boundary conditions. Gomes 11 investigated the optimum design of a quarter car passive suspension system using a particle swarm optimization algorithm to minimize the applied loads and vibrations.…”

Section: Introductionmentioning

confidence: 99%

“…Cho, Koo, and Jung 8 put forward a car body lightweight design method based on material selection and size optimization. Amaral et al 9,10 . proposed a new design method for plates optimization considering symmetry boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Reliability‐based design optimization of a car body using dimension‐ reduced Chebyshev polynomial

Zhou

Wei

et al. 2022

Quality & Reliability Eng

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A reliability‐based design optimization (RBDO) method of a car body is presented on basis of dimension‐reduced Chebyshev polynomial method (DCM). To improve calculation efficiency and save computational time, complex models are often approximated by metamodels in reliability analysis. Traditional metamodels require a large number of sample points, which is time‐consuming. To improve the efficiency, DCM is proposed to approximate the performance function of the car body. First, the performance function is decomposed by the dimension‐reduction method into a sum of univariate functions, which are then fitted through Chebyshev polynomials. The reliability of the car body is predicted by the Taylor expansion method and the fourth‐moment method. Finally, the result of RBDO is obtained using an improved adaptive genetic algorithm. The proposed method saves on the calculation time with high precision. Besides, the improved adaptive genetic algorithm reduces the number of iterations in the car body optimization and improves the efficiency.

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“…Li et al [3] investigated the ultimate strength of welded stiffened plates under the predominant action of axial compression with non-linear finite element analysis using the commercial finite element code Abaqus. Troina et al [4] developed an approach associating the Constructal Design Method [5] and Exhaustive Search technique, Appl. Mech.…”

Section: Introductionmentioning

confidence: 99%

Modal Analysis of Optimized Trapezoidal Stiffened Plates under Lateral Pressure and Uniaxial Compression

Virág

Szirbik

2021

Applied Mechanics

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This paper deals with the modal analysis of optimized trapezoidal stiffened plates with simple supported conditions on the four edges of the base plate. The main objective of the finite element analysis is to investigate the natural frequencies and mode shapes of some stiffened structures subjected to lateral pressure and uniaxial compression in order to identify any potentially dangerous frequencies and eliminate the failure possibilities. The natural frequencies and mode shapes are important parameters in the design of stiffened plates for dynamic loading conditions. In this study, the numerical analysis is performed for such a design of this kind of welded plates which have already been optimized for lateral pressure and uniaxial compression. The objective function of the optimization to be minimized performed with the Excel Solver program is the cost function which contains material and fabrication costs for Gas Metal Arc Welding (GMAW) welding technology. In this study, the eigenvalue extraction used to calculate the natural frequencies and mode shapes is based on the Lanczos iteration methods using the Abaqus software. The structure is made of two grades of steel, which are described with different yield stress while all other material properties of the steels in the isotropic elastic model remain the same. Drawing the conclusion from finite element analysis, this circumstance greatly affects the result.

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Constructal design method dealing with stiffened plates and symmetry boundaries

Cited by 6 publications

References 21 publications

Computational Model Verification and Validation of Elastoplastic Buckling Due to Combined Loads of Thin Plates

Computational Model Verification and Validation of Elastoplastic Buckling Due to Combined Loads of Thin Plates

Reliability‐based design optimization of a car body using dimension‐ reduced Chebyshev polynomial

Modal Analysis of Optimized Trapezoidal Stiffened Plates under Lateral Pressure and Uniaxial Compression

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