scholarly journals Constructal design method dealing with stiffened plates and symmetry boundaries

2020 ◽  
Vol 10 (5) ◽  
pp. 366-376
Author(s):  
Rodrigo R. Amaral ◽  
Grégori S. Troina ◽  
Cristiano Fragassa ◽  
Ana Pavlovic ◽  
Marcelo L. Cunha ◽  
...  
Keyword(s):  
Design Method ◽  
Stiffened Plates ◽  
Constructal Design

scholarly journals Numerical analysis of stiffened plates subjected to transverse uniform load through the constructal design method

2022 ◽  
Vol 10 (1) ◽  
pp. 99-108 ◽  
Author(s):  
Vinícius Torres Pinto ◽  
Luiz Alberto Oliveira Rocha ◽  
Elizaldo Domingues dos Santos ◽  
Liércio André Isoldi
Keyword(s):  
High Performance ◽  
Design Method ◽  
Material Constant ◽  
Stiffened Plates ◽  
The Finite Element Method ◽  
Uniform Load ◽  
Constructal Design ◽  
Geometric Configurations ◽  
Out Of Plane ◽  
Do So

When it comes to engineering, high performance is always a desired goal. In this context, regarding stiffened plates, the search for better geometric configurations able to minimize the out-of-plane displacements become interesting. So, this study aimed to analyze several stiffened plates defined by the Constructal Design Method (CDM) and solved through the Finite Element Method (FEM) using the ANSYS® software. After that, these plates are compared among each other through the Exhaustive Search (ES) technique. To do so, a non-stiffened rectangular plate was adopted as reference. Then, a portion of its steel volume was converted into stiffeners through the ϕ parameter, which represents the ratio between the volume of the stiffeners and the total volume of the reference plate. Taking into consideration the value of ϕ = 0.3, 75 different stiffened plates arrangements were proposed: 25 with rectangular stiffeners oriented at 0°; 25 with rectangular stiffeners oriented at 45° and 25 with trapezoidal stiffeners oriented at 0°. Maintaining the total volume of material constant, it was investigated the geometry influence on the maximum deflection of these stiffened plates. The results have shown trapezoidal stiffeners oriented at 0° are more effective to reduce the maximum deflections than rectangular stiffeners also oriented at 0°. It was also observed that rectangular stiffeners oriented at 45° presented the smallest maximum deflections for the majority of the analyzed cases, when compared to the trapezoidal and rectangular stiffeners oriented at 0°.

Verification of a genetic algorithm for the optimization of stiffened plates through the constructal design method

2019 ◽  
Author(s):  
Marcelo Langhinrichs Cunha ◽  
◽  
Emanuel da Silva Diaz Estrada ◽  
Grégori da Silva Troina ◽  
Elizaldo Domingues dos Santos ◽  
...  
Keyword(s):  
Genetic Algorithm ◽  
Design Method ◽  
Stiffened Plates ◽  
Constructal Design

scholarly journals ANALYSIS THROUGH CONSTRUCTAL DESIGN OF THE INFLUENCE OF SPACING BETWEEN STIFFENERS IN THE DEFLECTION OF PLATES

2020 ◽  
Vol 5 (5) ◽  
Author(s):  
Milton Cesar Bastos Portela Junior ◽  
Vinícius Torres Pinto ◽  
Luiz Alberto Oliveira Rocha ◽  
Elizaldo Domingues Dos Santos ◽  
Liércio André Isoldi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Design Method ◽  
Stiffened Plates ◽  
Stiffened Plate ◽  
The Finite Element Method ◽  
Volumetric Fraction ◽  
Constructal Design ◽  
Fixed Volume ◽  
Reference Plate

Using the Finite Element Method (FEM), stiffened plates arrangements defined by the application of the Constructal Design Method (CDM) were analyzed. So that, through an Exhaustive Search (ES), different spacing between the stiffeners were tested regarding the central and maximum deflections. Starting from a non-stiffened plate with a fixed volume, a portion of its material was completely removed from its thickness and transformed into stiffeners considering the volumetric fraction 𝜙 = 0.5. It were established 4 arrangements: P(2,2), P(2,3), P(3,2) and P(3,3), varying for each one, the spacing between the stiffeners, as well as the parameter hs/ts (ratio between height and thickness of stiffeners). The results showed that stiffeners equally spaced in the longitudinal and transverse directions with higher ratios hs/ts are more effective, being able to reduce the central and maximum deflections by more than 95% compared to the non-stiffened reference plate.

scholarly journals Numerical simulation and constructal design applied to plates with different heights of traverse and longitudinal stiffeners

2021 ◽  
pp. 221-238
Author(s):  
Carolina Martins Nogueira ◽  
Vinícius Torres Pinto ◽  
Luiz Alberto Oliveira Rocha ◽  
Elizaldo Domingues dos Santos ◽  
Liércio André Isoldi
Keyword(s):  
Computational Models ◽  
Design Method ◽  
Geometric Analysis ◽  
Stiffened Plates ◽  
Constructal Design ◽  
Longitudinal Stiffeners ◽  
Out Of Plane ◽  
Material Volume ◽  
Geometric Arrangements ◽  
Reference Plate

Martins Nogueira, Vinícius Torres Pinto, Luiz Alberto Oliveira Rocha, Elizaldo Domingues dos Santos and Liércio André Isoldi Right click to download the paper PDF (550K) Abstract: This study applied the Constructal Design Method (CDM) associated with the Finite Element Method (FEM) through computational models to perform a geometric analysis on rectangular stiffened plates of steel subjected to a uniform transverse loading, in order to minimize its maximum and central out-of-plane deflections. Considering a non-stiffened plate as reference and maintaining the total volume of steel constant, a portion of material volume deducted from its thickness was transformed into stiffeners through the ϕ parameter, which represents the ratio between the material volume of the stiffeners and the reference plate. Adopting ϕ = 0.30, 27 geometric arrangements of stiffened plates were established, being 9 arrangements for each 3 different stiffeners' thicknesses adopted: ts = 6.35 mm, ts = 12.70 mm and ts = 25.40 mm. For each ts value, the number of longitudinal (Nls) and transverse (Nts) stiffeners were varied from 2 to 4. Thus, in each plate arrangement configured, the influence of the ratio between the height of the transverse and longitudinal stiffeners (hts/hls) was analyzed, taking into account the values 0.50; 0.75; 1.00; 1.25; 1.50; 1.75 and 2.00, regarding to the maximum and central deflections. The results have shown that transforming a portion of steel from a non-stiffened reference plate into stiffeners can reduce the maximum and central deflections by more than 90%. Moreover, it was observed that to reduce the deflections it is more effective consider hts > hls, once the ratio hts/hls = 2.00 was the one that led to the better mechanical behavior among the analyzed cases.

scholarly journals Geometric Evaluation of Stiffened Steel Plates Subjected to Transverse Loading for Naval and Offshore Applications

2019 ◽  
Vol 7 (1) ◽  
pp. 7 ◽  
Author(s):  
João Pedro T. P. De Queiroz ◽  
Marcelo L. Cunha ◽  
Ana Pavlovic ◽  
Luiz Alberto O. Rocha ◽  
Elizaldo D. Dos Santos ◽  
...  
Keyword(s):  
Design Method ◽  
Steel Plates ◽  
Stiffened Plates ◽  
Geometrical Configuration ◽  
Ansys Software ◽  
Search Technique ◽  
Constructal Design ◽  
Longitudinal Stiffeners ◽  
Stiffened Steel ◽  
Reference Plate

This work searched for the optimal geometrical configuration of simply supported stiffened plates subjected to a transverse and uniformly distributed load. From a non-stiffened reference plate, different geometrical configurations of stiffened plates, with the same volume as the reference plate, were defined through the constructal design method. Thus, applying the exhaustive search technique and using the ANSYS software, the mechanical behaviors of all the suggested stiffened plates were compared to each other to find the geometrical configuration that provided the minimum deflection in the plate’s center when subjected to this loading. The optimum geometrical configuration of stiffeners is presented at the end of this work, allowing a reduction of 98.57% for the central deflection of the stiffened plate if compared to the reference plate. Furthermore, power equations were adjusted to describe the deflections for each combination of longitudinal and transverse stiffeners as a function of the ratio between the height and the thickness of the stiffeners. Finally, a unique equation for determining the central deflections of the studied stiffened plates based only on the number of longitudinal stiffeners without significantly losing accuracy has been proposed.

scholarly journals Layout Design of Stiffened Plates for Large-Scale Box Structure under Moving Loads Based on Topology Optimization

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Zhaohua Wang ◽  
Chenglong Yang ◽  
Xiaopeng Xu ◽  
Dezhuang Song ◽  
Fenghe Wu
Keyword(s):  
Topology Optimization ◽  
Large Scale ◽  
Load Transfer ◽  
Comprehensive Evaluation ◽  
Design Method ◽  
Layout Design ◽  
Stiffened Plates ◽  
Moving Loads ◽  
Box Structures ◽  
Box Structure

As the main load-bearing structure of heavy machine tools, cranes, and other high-end equipment, the large-scale box structures usually bear moving loads, and the results of direct topology optimization usually have some problems: the load transfer skeleton is difficult to identify and all working conditions are difficult to consider comprehensively. In this paper, a layout design method of stiffened plates for the large-scale box structures under moving loads based on multiworking-condition topology optimization is proposed. Based on the equivalent principle of force, the box structures are simplified into the main bending functional section, main torsional functional section, and auxiliary functional section by the magnitude of loads and moments, which can reduce the structural dimension and complexity in topology optimization. Then, the moving loads are simplified to some multiple position loads, and the comprehensive evaluation function is constructed by the compromise programming method. The mathematical model of multiworking-condition topology optimization is established to optimize the functional sections. Taking a crossbeam of superheavy turning and milling machining center as an example, optimization results show that the stiffness and strength of the crossbeam are increased by 17.39% and 19.9%, respectively, while the weight is reduced by 12.57%. It shows that the method proposed in this paper has better practicability and effectiveness for large-scale box structures.

Geometric evaluation of steel plates subjected to uniform transverse load with rectangular or trapezoidal stiffeners by means constructal design method

2020 ◽  
Vol 3 (2) ◽  
pp. 190
Author(s):  
Vinícius Torres Pinto ◽  
Marcelo Langhinrichs Cunha ◽  
Kauê Louro Martins ◽  
Luiz Alberto Oliveira Rocha ◽  
Mauro De Vasconcellos Real ◽  
...  
Keyword(s):  
Design Method ◽  
Steel Plates ◽  
Transverse Load ◽  
Constructal Design

Numerical study of the elasto-plastic buckling in perforated thin steel plates using the constructal design method

2018 ◽  
Author(s):  
Daniel Helbig ◽  
◽  
Marcelo Langhinrichs Cunha ◽  
Caio Cesar Cardoso da Silva ◽  
Elizaldo Domingues dos Santos ◽  
...  
Keyword(s):  
Numerical Study ◽  
Design Method ◽  
Steel Plates ◽  
Plastic Buckling ◽  
Constructal Design ◽  
Thin Steel

scholarly journals Fitting new constructal models for the thermal potential of earth-air heat exchangers

2018 ◽  
Vol 40 (1) ◽  
pp. 30897 ◽  
Author(s):  
Jairo Valões de Alencar Ramalho ◽  
Ruth Da Silva Brum ◽  
Luiz Alberto Oliveira Rocha ◽  
Liércio André Isoldi ◽  
Elizaldo Domingues dos Santos ◽  
...  
Keyword(s):  
Heat Exchangers ◽  
Design Method ◽  
Global Constraints ◽  
Additional Contribution ◽  
Constructal Design ◽  
Thermal Potential ◽  
Periodic Models ◽  
Energetic Performance ◽  
Isosceles Triangles

 Relying on the Constructal Design method, this paper introduces new periodic models for the thermal potential of Earth-Air Heat Exchangers (Eahe). As a case study, it analyses the best spacing for three ducts arranged triangularly in order to maximize the heat transfer between soil and air. More specifically, the ratio  between the horizontal and vertical spaces among the ducts is set free to vary up to limiting global constraints. This paper aims to better understand how the variations in  affect the thermal performance of Eahe. As an additional contribution, some relationships between  and the thermal potential of Eahe are mathematically and continuously stated. This allows establishing additional results for the efficiency and energetic performance of Eahe, as well as recommend arrangements in the shape of isosceles triangles with base and height unitary. 

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