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Keywords = asymmetric circular plate

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17 pages, 986 KB  
Article
Calculus Through Transfer-Matrix Method of Continuous Circular Plates for Applications to Chemical Reactors
by Laurenţiu-Eusebiu Chifor, Mihai-Sorin Tripa, Ilie-Cristian Boldor, Cosmin-Sergiu Brisc, Nicolae Nedelcu, Andrei-Călin Szîrbe, Liviu Bolunduţ, Carmen-Gabriela Băcilă, Veronica Mîndrescu, Ioan-Aurel Cherecheş, Vlad Mureşan and Viorica-Mihaela Suciu
Mathematics 2025, 13(17), 2708; https://doi.org/10.3390/math13172708 - 22 Aug 2025
Viewed by 253
Abstract
This paper presents an original approach through Transfer-Matrix Method applied for the calculus of the continuous circular plate embedded at the exterior circumference, charged with asymmetrical uniform load on the entire upper surface of the plate. Continuous circular plates are elements often found [...] Read more.
This paper presents an original approach through Transfer-Matrix Method applied for the calculus of the continuous circular plate embedded at the exterior circumference, charged with asymmetrical uniform load on the entire upper surface of the plate. Continuous circular plates are elements often found in practice, in the machine building, aeronautics, chemical industries (the bottoms of chemical reactors), and in petrochemical, mechanical, robotic, medical, military, nuclear, and aerospace industries. The calculus of continuous circular plates is a special problem both from the point of view of the theory of elasticity and from the point of view of the mathematical approach. The results obtained with Transfer-Matrix Method were compared and validated with those obtained from classical analytical calculation, the Theory of Elasticity. Transfer-Matrix Method is an elegant method and relatively easy to program. In future research, we want to validate our results with those given by the Finite Elements Method and those measured experimentally. Full article
(This article belongs to the Special Issue Control Theory and Applications, 2nd Edition)
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18 pages, 1110 KB  
Article
Differential Quadrature Method for Bending Analysis of Asymmetric Circular Organic Solar Cells Resting on Kerr Foundation in Hygrothermal Environment
by Mohammad A. Abazid, Muneer Alali and Mohammed Sobhy
Mathematics 2025, 13(7), 1203; https://doi.org/10.3390/math13071203 - 6 Apr 2025
Cited by 1 | Viewed by 416
Abstract
This article presents the first theoretical analysis of the bending behavior of circular organic solar cells (COSCs). The solar cell under investigation is built on a flexible Kerr foundation and has five layers of Al, P3HT:PCBM, PEDOT:PSS, ITO, and Glass. The cell is [...] Read more.
This article presents the first theoretical analysis of the bending behavior of circular organic solar cells (COSCs). The solar cell under investigation is built on a flexible Kerr foundation and has five layers of Al, P3HT:PCBM, PEDOT:PSS, ITO, and Glass. The cell is exposed to hygrothermal conditions. The related Kerr foundation lessens displacements and supports the cell. The principle of virtual work is used to generate the basic partial differential equations, which are then solved using the differential quadrature method (DQM). The results of the present theory are validated by comparing them with published ones. The effects of the temperature, humidity, elastic foundation factors, and geometric configuration characteristics on the deflection and stresses of the COSC are examined. Full article
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19 pages, 2272 KB  
Article
Nonlinear Analysis of the Multi-Layered Nanoplates
by Mostafa Sadeghian, Arvydas Palevicius, Paulius Griskevicius and Giedrius Janusas
Mathematics 2024, 12(22), 3545; https://doi.org/10.3390/math12223545 - 13 Nov 2024
Viewed by 741
Abstract
This text investigates the bending/buckling behavior of multi-layer asymmetric/symmetric annular and circular graphene plates through the application of the nonlocal strain gradient model. Additionally, the static analysis of multi-sector nanoplates is addressed. By considering the van der Waals interactions among the layers, the [...] Read more.
This text investigates the bending/buckling behavior of multi-layer asymmetric/symmetric annular and circular graphene plates through the application of the nonlocal strain gradient model. Additionally, the static analysis of multi-sector nanoplates is addressed. By considering the van der Waals interactions among the layers, the higher-order shear deformation theory (HSDT), and the nonlocal strain gradient theory, the equilibrium equations are formulated in terms of generalized displacements and rotations. The mathematical nonlinear equations are solved utilizing either the semi-analytical polynomial method (SAPM) and the differential quadrature method (DQM). Also, the available references are used to validate the results. Investigations are conducted to examine the effect of small-scale factors, the van der Waals interaction value among the layers, boundary conditions, and geometric factors. Full article
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16 pages, 469 KB  
Article
Frequency Analysis of Asymmetric Circular Organic Solar Cells Embedded in an Elastic Medium under Hygrothermal Conditions
by Muneer Alali, Mohammad A. Abazid and Mohammed Sobhy
Symmetry 2024, 16(5), 577; https://doi.org/10.3390/sym16050577 - 7 May 2024
Cited by 1 | Viewed by 1272
Abstract
This research represents the first theoretical investigation about the vibration behavior of circular organic solar cells. Therefore, the vibration response of asymmetric circular organic solar cells that represent a perfect renewable energy source is demonstrated. For this purpose, the differential quadrature method (DQM) [...] Read more.
This research represents the first theoretical investigation about the vibration behavior of circular organic solar cells. Therefore, the vibration response of asymmetric circular organic solar cells that represent a perfect renewable energy source is demonstrated. For this purpose, the differential quadrature method (DQM) is employed. The organic solar cell is modeled as a laminated plate consisting of five layers of Al, P3HT:PCBM, PEDOT:PSS, ITO, and Glass. This cell is rested on a Winkler–Pasternak elastic foundation and assumed to be exposed to various types of hygrothermal loadings. There are three different kinds of temperature and moisture variations that are taken into account: uniform, linear, and nonlinear distribution throughout the cell’s thickness. The displacement field is presented based on a new inverse hyperbolic shear deformation theory considering only two unknowns. The motion equations including hygrothermal effect and plate–foundation interaction are established within the framework of Hamilton’s principle. The DQM is utilized to solve these equations. In order to ensure the accuracy of the proposed theory, the present results are compared with those reported by other higher-order theories. A comprehensive parametric illustration is conducted on the impacts of different parameters involving the geometrical configuration, elastic foundation parameters, temperature, and moisture concentration on the deduced eigenfrequency of the circular organic solar cells. Full article
(This article belongs to the Section Mathematics)
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20 pages, 11299 KB  
Article
Influence of Circular through Hole in Pt–Rh Bushing on Temperature Propagation at High Temperature
by Nan Yang, Youping Gong, Peng He, Chuanping Zhou, Rougang Zhou, Huifeng Shao, Guojin Chen, Xiaowei Lin and Hongling Bie
Materials 2022, 15(21), 7832; https://doi.org/10.3390/ma15217832 - 6 Nov 2022
Cited by 3 | Viewed by 1839
Abstract
In the fiberglass industry, Pt–Rh bushings made of platinum and rhodium have very good characteristics, such as high temperature resistance, corrosion resistance, oxidation resistance, and creep resistance. In this paper, a semi-infinite lath structure model is constructed, and the expression of the surface [...] Read more.
In the fiberglass industry, Pt–Rh bushings made of platinum and rhodium have very good characteristics, such as high temperature resistance, corrosion resistance, oxidation resistance, and creep resistance. In this paper, a semi-infinite lath structure model is constructed, and the expression of the surface temperature distribution of a Pt–Rh alloy plate with a circular through hole is obtained based on the non-Fourier heat conduction equation, complex function method and conformal mapping method. At the same time, the influence of the position of the circular through hole in the Pt–Rh bushing and the parameters of the incident light source (Non-diffusion incident wave number and relative thermal diffusion length) on the surface temperature distribution of the Pt–Rh bushing is studied by using this formula. It is found that: 1. heat concentration and fracture are occur easily at the through hole; 2. when the through hole is in the asymmetric center, the greater the asymmetry, the smaller the maximum temperature amplitude; 3. when the buried depth of the through hole increases, the maximum temperature amplitude decreases; 4. when the incident wave number and the relative thermal diffusion length of the incident light source are larger, the maximum temperature amplitude is smaller. The numerical results are almost consistent with those of ANSYS thermal simulation. The expression of the surface temperature distribution of the semi-infinite lath structure proposed in this paper can effectively reduce the loss of precious metal materials and the time of thermal simulation in the experimental process, as well as provide important significance for structural design, quality inspection, process optimization, and service life improvement of Pt–Rh bushings. Full article
(This article belongs to the Special Issue Alloys and Composites for High Temperature Applications)
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17 pages, 9063 KB  
Article
Power Output Enhancement of a Ducted Wind Turbine by Stabilizing Vortices around the Duct
by Koichi Watanabe, Yuji Ohya and Takanori Uchida
Energies 2019, 12(16), 3171; https://doi.org/10.3390/en12163171 - 18 Aug 2019
Cited by 9 | Viewed by 6310
Abstract
A brimmed-diffuser augmented turbine (called a wind lens turbine: WLT) actively uses vortices around the brim to enhance its power output. However, the vortices are usually unstable and asymmetric. This study attempted to stabilize the vortices to enhance the power output of a [...] Read more.
A brimmed-diffuser augmented turbine (called a wind lens turbine: WLT) actively uses vortices around the brim to enhance its power output. However, the vortices are usually unstable and asymmetric. This study attempted to stabilize the vortices to enhance the power output of a WLT. Then, we investigated new approaches using vortex stabilization plates and polygonal brims in wind tunnel experiments and numerical simulations. Both approaches achieved a 1.5–3.8% increase in power output compared with a standard WLT. Our numerical simulations revealed a periodicity existing in a fluctuating vortex structure on the circular brim. Importantly, vortex stabilization plates and polygonal brims must be the same periodic scale to suppress the vortex fluctuation and stabilize the vortices effectively. In addition, a larger brim tended to enhance the stabilizing effects. We believe that this discovery provides an easy way to increase the power output of existing wind turbines. It is particularly important in light of advances in wind energy technology and the increasing wind energy market. Full article
(This article belongs to the Section A3: Wind, Wave and Tidal Energy)
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10 pages, 6108 KB  
Article
A Light Guide Plate That Uses Asymmetric Intensity Distribution of Mini-LEDs for the Planar Illuminator
by Zhi-Ting Ye, Yung-Min Pai, Cheng-Huan Chen, Hao-Chung Kuo and Lung-Chien Chen
Crystals 2019, 9(3), 141; https://doi.org/10.3390/cryst9030141 - 8 Mar 2019
Cited by 12 | Viewed by 5324
Abstract
Traditional backlights are designed with new dot patterns, and then injection molding, laser beam fabrication, or UV (Ultraviolet) roll-to-plate imprinting is used to apply dot patterns to a light guide plate—the process consumes considerable time and resources. Therefore, we propose a novel light [...] Read more.
Traditional backlights are designed with new dot patterns, and then injection molding, laser beam fabrication, or UV (Ultraviolet) roll-to-plate imprinting is used to apply dot patterns to a light guide plate—the process consumes considerable time and resources. Therefore, we propose a novel light guide design that does not use a dot pattern. We designed an asymmetric intensity distribution of mini-LEDs (Light Emitting Diode) and a light guide plate with a fully printed diffusion reflection on the bottom surface for a planar illuminator. The design rules for the proposed architecture are described in this paper. The archetype design with a 152.4 mm circular down-light has a diameter of 143 mm for the planar light source module. The experiment achieved a total efficiency of 85% and uniformity of 92.6%. Full article
(This article belongs to the Special Issue GaN-Based Optoelectronic Materials and Light Emitting Devices)
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