Relevant bibliographies by topics / Rectangular and circular membranes

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Rectangular and circular membranes'

Author: Grafiati
Published: 3 June 2025
Last updated: 20 July 2025

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Journal articles on the topic "Rectangular and circular membranes"

1

Chiu, H. C., R. C. Benson, M. D. Fiscella, and S. J. Burns. "Mechanical and Thermal Wrinkling of Polymer Membranes." Journal of Applied Mechanics 61, no. 1 (1994): 67–70. http://dx.doi.org/10.1115/1.2901423.

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A finite element method by Roddeman was modified in order to study wrinkling of polymer membranes due to mechanical loads and thermal shrinkage. Thermal shrinkage was incorporated as a prestrain and the elastic modulus was allowed to be dependent on temperature. The following wrinkling cases were studied: (1) a circular membrane with a heated spot at the center and a uniform radial displacement at the outer edge, (2) a rectangular membrane with wrinkles emanating from an imperfection in the boundary, and (3) a rectangular membrane with wrinkles emanating from a heated spot at the center.
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Ghotbi, S., B. Pirzadeh, Davod Mohebbi-Kalhori, and A. Abdollahi. "Numerical investigation of UF membrane to reduce energy consumption using double porosity approach." Water Science and Technology 77, no. 12 (2018): 2907–16. http://dx.doi.org/10.2166/wst.2018.280.

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Abstract Hollow fiber (HF) membranes with circular geometry, are used in many separation processes such as water and wastewater treatment. Since optimization of energy efficiency is important for wastewater treatment, the aim of this study was to investigate the effect of non-circular geometry of the inner surface of the HF on the separation performance. To this purpose, the HF bundle has been assumed as a double porous media having two porosities and permeabilities. Since these two parameters are defined by the geometry of the porous medium, any change in the geometry affects their values and the media performance. Therefore, in this study a mathematical modeling has been divided into five categories, including circular, oval, square, rectangular and triangular geometries, and their geometric properties have been calculated based on three different strategies. The results have been compared with the data obtained from literature and showed that the membrane inner surface to cross-section area ratio (a), axial permeability, and porosity in the inner region for the non-circular HF are larger than that of the circular HF and a increased 16%, 27%, 35% and 65% in ellipse, square, rectangle and triangle geometry, respectively, in comparison with the circle. Axial permeability increased 98%, 68%, 63%, and 26% for a triangle, rectangle, ellipse, and square respectively in the third strategy when compared to the circle. Due to 50% feed flow rate reduction, maximum transmembrane pressure (TMP) reduction was 85% related to the rectangular geometry in the first strategy and minimum was 55% corresponding to the triangle in the third strategy. As a increased up to 65%, TMP reduced by up to 200% and consequently energy consumption and operating costs of the system are decreased.
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Liu, D. S., and I. H. Lin. "Vibration Analysis of the Multiple-Hole Membrane by using the Coupled Diem-Fe Scheme." Journal of Mechanics 32, no. 2 (2015): 163–73. http://dx.doi.org/10.1017/jmech.2015.60.

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AbstractThis paper presents a 2D dynamics infinite element method (DIEM) for modeling the multiple-hole membrane for vibration analysis. A new concept involving converting the DIEM into a super element that can adjust the hole size and free and fixed boundary conditions around the hole is also proposed. The special element, embedded with an elastic membrane, is formulated on the basis of the conventional finite element method (FEM) by using the similarity mass/stiffness property of isoparametric elements and Craig-Bampton matrix reduction procedures. A DIEM-FE coupling scheme is also developed and self-programmed into the software MATLAB to conduct the vibration analysis of a membrane with multiple holes. The DIEM-FE approach is validated to study the vibration of the rectangular membranes by using the corresponding analytical solutions and the solutions obtained using the conventional FEM. The DIEM-FE is then applied to analyze imbedded L-shaped and circular opening problems. The effects of varying hole diameters and the free or fixed boundary condition along the hole are also examined. Finally, the last example shows that to perform vibration analysis of the multiple-hole membrane, only one DIEM mass/stiffness matrix must be calculated for all holes with an identical circular shape. Overall, this study provides a flexibility and efficient scheme for analyzing a wide variety of membrane vibration problems. The number of degrees of freedom and the corresponding PC memory storage are substantially reduced through the computation.
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Mota, Tássia Vieira, Helton Gomes Alves, Severino Rodrigues Farias Neto, and Antônio Gilson Barbosa de Lima. "Oily Water Treatment Using Ceramic Membrane in Presence of Swirling Flow Induced by a Tangential Inlet via CFD." Defect and Diffusion Forum 348 (January 2014): 51–57. http://dx.doi.org/10.4028/www.scientific.net/ddf.348.51.

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In recent years, attention has been given to the processes controlling the emission of oily effluents and their environmental impact. Many industrial processes generate large volumes of water contaminated with oil, called oily waters. The oily water must be treated before its discard in order to meet the criteria established by environmental agencies (for example in Brazil, 20 mg/L). In present days, the process of separating oil/water with ceramic membranes has attracted the attention of many researchers [1,2]. In this sense, the aim of this study is to evaluate the influence of the tangential inlet shape in the oil/water separation via ceramic membranes. We use a mathematical multiphase flow model to describe the oil-water separation, based on the particle model. Here oil is the dispersed phase while water the continuous phase. To model the turbulence effect we use the RNGk-εmodel. All simulations were carried out using the Ansys CFX ® commercial code. Results of streamlines and velocity, pressure and volume fraction of phase fields are present and analyzed. The numerical results indicate that no significant difference when using a circular or rectangular pipe with the same cross-sectional area.
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Kizilova, Natalya, Marco Sauermoser, Signe Kjelstrup, and Bruno G. Pollet. "Fractal-Like Flow-Fields with Minimum Entropy Production for Polymer Electrolyte Membrane Fuel Cells." Entropy 22, no. 2 (2020): 176. http://dx.doi.org/10.3390/e22020176.

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The fractal-type flow-fields for fuel cell (FC) applications are promising, due to their ability to deliver uniformly, with a Peclet number Pe~1, the reactant gases to the catalytic layer. We review fractal designs that have been developed and studied in experimental prototypes and with CFD computations on 1D and 3D flow models for planar, circular, cylindrical and conical FCs. It is shown, that the FC efficiency could be increased by design optimization of the fractal system. The total entropy production (TEP) due to viscous flow was the objective function, and a constant total volume (TV) of the channels was used as constraint in the design optimization. Analytical solutions were used for the TEP, for rectangular channels and a simplified 1D circular tube. Case studies were done varying the equivalent hydraulic diameter (Dh), cross-sectional area (DΣ) and hydraulic resistance (DZ). The analytical expressions allowed us to obtain exact solutions to the optimization problem (TEP→min, TV=const). It was shown that the optimal design corresponds to a non-uniform width and length scaling of consecutive channels that classifies the flow field as a quasi-fractal. The depths of the channels were set equal for manufacturing reasons. Recursive formulae for optimal non-uniform width scaling were obtained for 1D circular Dh -, DΣ -, and DZ -based tubes (Cases 1-3). Appropriate scaling of the fractal system providing uniform entropy production along all the channels have also been computed for Dh -, DΣ -, and DZ -based 1D models (Cases 4-6). As a reference case, Murray’s law was used for circular (Case 7) and rectangular (Case 8) channels. It was shown, that Dh-based models always resulted in smaller cross-sectional areas and, thus, overestimated the hydraulic resistance and TEP. The DΣ -based models gave smaller resistances compared to the original rectangular channels and, therefore, underestimated the TEP. The DZ -based models fitted best to the 3D CFD data. All optimal geometries exhibited larger TEP, but smaller TV than those from Murray’s scaling (reference Cases 7,8). Higher TV with Murray’s scaling leads to lower contact area between the flow-field plate with other FC layers and, therefore, to larger electric resistivity or ohmic losses. We conclude that the most appropriate design can be found from multi-criteria optimization, resulting in a Pareto-frontier on the dependencies of TEP vs TV computed for all studied geometries. The proposed approach helps us to determine a restricted number of geometries for more detailed 3D computations and further experimental validations on prototypes.
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Sadovskii, I. A., and M. M. Katasonov. "Experimental study of perturbations modeled by a membrane in 2D and 3D boundary layers." Journal of Physics: Conference Series 2119, no. 1 (2021): 012001. http://dx.doi.org/10.1088/1742-6596/2119/1/012001.

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Abstract The work is devoted to experimental studies of the dynamics of the development of perturbations introduced by a membrane under various conditions. The studies were carried out under conditions of a low and moderate degree of free-flow turbulence. It is shown that the impulsive motion of the membrane generates a localized longitudinal structure in the boundary layer, as well as wave packets at its fronts. A circular membrane generates wave packets consisting of forward and oblique waves, while a rectangular membrane generates predominantly forward waves. A moderate degree of turbulence inhibits the development of wave packets at the linear stage and intensifies at the nonlinear stage. The separation of the boundary layer stimulates an increase in the amplitude of the wave packets.
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Shih, Hua-Ju, and Kuo-Ching Chen. "An Analytical Energy Harvester Model for Interdigitated Ring Electrode on Circular Elastic Membrane." Micromachines 13, no. 1 (2022): 133. http://dx.doi.org/10.3390/mi13010133.

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Energy harvesters are devices that accumulate ambient vibrational energy from the environment, and for the time being, variable capacitance is the most widely used mechanism. Various designs were proposed to increase the power of such devices, and in particular, the interdigitated electrode (IDE) pattern is the mainstream. Nevertheless, most IDE designs focus merely on the parallel-type vibrations of electrodes. In this study, the performance of a novel harvester, which combined circular membrane and interdigitated ring electrodes (IRE), was investigated. This design allows the device to collect energy from the rotational structure motions of electrodes through the vibrating membrane. Besides, the circular structure provides a dense capacitive arrangement that is higher than that of the arrangement obtained using regular rectangular chips. The IRE diagram is composed of many capacitive rings, each of which harvests vibrated energy simultaneously. Three gaps (1, 10, and 100 μm) of the ring are investigated for the first four vibrational modes of the membrane to understand the effect of energy output. It is found that the energy outputs are approximately the same for the three gaps; however, rings with a wider gap are easier to manufacture in MEMS.
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Du, Xin, Yahui Song, Xinxin Xuan, et al. "Characterization of a Bioresorbable Magnesium-Reinforced PLA-Integrated GTR/GBR Membrane as Dental Applications." Scanning 2020 (September 19, 2020): 1–10. http://dx.doi.org/10.1155/2020/6743195.

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Inferior mechanical properties have always been a limitation of the bioresorbable membranes in GBR/GTR. This study is aimed at fabricating a bioresorbable magnesium-reinforced polylactic acid- (PLA-) integrated membrane and investigating its mechanical properties, degradation rate, and biocompatibility. The uncoated and fluoride-coated magnesium alloys, AZ91, were made into strips. Then, magnesium-reinforced PLA-integrated membrane was made through integration. PLA strips were used in the control group instead of magnesium strips. Specimens were cut into rectangular shape and immersed in Hank’s Balanced Salt Solution (HBSS) at 37°C for 4, 8, and 12 d. The weight loss of the AZ91 strips was measured. Three-point bending tests were conducted before and after the immersion to determine the maximum load on specimens. Potentiodynamic polarization (PDP), electrochemical impedance spectroscopy (EIS), scanning electron microscopy (SEM), and energy-dispersive spectroscopy (EDS) were conducted on coated and uncoated AZ91 plates to examine corrosion resistance. Murine fibroblast and osteoblast cells were cultured on circular specimens and titanium disks for 1, 3, and 5 d. Thereafter, WST test was performed to examine cell proliferation. As a result, the coated and uncoated groups showed higher maximum loads than the control group at all time points. The weight loss of AZ91 strips used in the coated group was lower than that in the uncoated group. PDP, EIS, SEM, and EDS showed that the coated AZ91 had a better corrosion resistance than the uncoated AZ91. The cell proliferation test showed that the addition of AZ91 did not have an adverse effect on osteoblast cells. Conclusively, the magnesium-reinforced PLA-integrated membrane has excellent load capacity, corrosion resistance, cell affinity, and proper degradation rate. Moreover, it has great potential as a bioresorbable membrane in the GBR/GTR application.
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Kononov, Yuriy. "On the solution of a complicated biharmonic equation in a hydroelasticity problem." Ukrainian Mathematical Bulletin 20, no. 2 (2023): 203–18. http://dx.doi.org/10.37069/1810-3200-2023-20-2-3.

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A hydroelastic problem of free vibrations of a thin plate that horizontally separates ideal incompressible liquids of different densities in a rigid cylindrical tank with an arbitrary cross-section has been considered in the linear formulation. To solve the corresponding complicated inhomogeneous biharmonic equation, the fundamental system of the solutions of biharmonic equation (FSS) and the eigenmodes of ideal liquid oscillations in a cylindrical cavity were used. The frequency equation was obtained for arbitrary fixation of the plate contour. On the example of a clamped plate, the frequency equation was simplified by decomposing the corresponding homogeneous biharmonic equation into two harmonic equations and using Green's formula for the Laplace operator. It was shown that in this case the frequency equation does not depend on the FSS and becomes greatly simplified because the FSS depends on the unknown frequency. The resulting equation has a single form for the cases of a right circular cylinder and a rectangular channel; in particular cases, it coincides with the previously obtained equations. Research of asymmetric vibration frequencies of a plate and a membrane, as well as axisymmetric vibration frequencies of a membrane in a circular cylinder, has been carried out. An approximation formula for high frequencies and approximate conditions for the stability of the plate and membrane vibrations were obtained.
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Hao, Hongwei, Mengdong Chen, Wei Kang, Zhanfeng Deng, and Hangyin Mao. "Effect of flow channel cross-section shape on the performance of proton exchange membrane electrolysis cell." Journal of Physics: Conference Series 2728, no. 1 (2024): 012028. http://dx.doi.org/10.1088/1742-6596/2728/1/012028.

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Abstract To study the thermal and mass distribution in proton exchange membrane electrolytic cells (PEMEC), a two-phase numerical model of a single-channel electrolytic cell was established. The polarization performance and gas-heat distribution in a single-channel electrolytic cell under five different flow channel cross-sections (rectangle, trapezoid, inverted trapezoid, triangle, and circle) were studied. The findings indicate that the inverted trapezoidal flow channel’s gas buildup effect is rather severe in both the catalytic and diffusion layers. In the trapezoidal flow channel, the temperature of the proton exchange membrane region is lower, and the electrochemical performance of the rectangular flow channel electrolytic cell is the best, with an improvement rate of up to 11.47%. The electrochemical performance of the triangular and circular flow channels is the worst.
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Dissertations / Theses on the topic "Rectangular and circular membranes"

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SOARES, RENATA MACHADO. "DYNAMIC ANALYSIS OF HYPERLASTIC CIRCULAR MEMBRANES." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2009. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=13790@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>FUNDAÇÃO DE APOIO À PESQUISA DO ESTADO DO RIO DE JANEIRO<br>Nesta tese são estudadas as vibrações não-lineares de membranas circulares inicialmente tracionadas sujeitas a deformações finitas. O material da membrana é modelado como um material hiperelástico neo-Hookeano, isotrópico e incompressível. Baseada na teoria de deformações finitas para membranas hiperelásticas, uma formulação variacional é desenvolvida. Primeiro a solução da membrana sob tração radial uniforme é obtida e então as equações de movimento da membrana são obtidas pelo princípio de Hamilton. A partir das equações linearizadas, as freqüências e os modos de vibração da membrana são obtidos analiticamente. Os modos naturais são usados para aproximar o campo de deformações não-linear usando o método de Galerkin e modelos de ordem reduzida são deduzidos através do método de Karhunen-Loève e de métodos analíticos. Além disso, estuda-se a influência da variação da massa específica e da espessura ao longo da direção radial da membrana nas vibrações. A seguir a mesma metodologia é utilizada para uma membrana anular. Por fim, estudam-se as vibrações não-lineares da membrana anular acoplada a uma inclusão rígida que insere tensões de tração na membrana, pois, devido ao seu peso próprio, provoca deslocamentos estáticos transversais e axissimétricos na membrana. Os mesmos problemas são analisados por elementos finitos utilizando o programa comercial Abaqus.<br>This work presents an analysis of the nonlinear vibration response of a prestretched hyperelastic circular membrane subjected to finite deformations. The membrane material is assumed to be isotropic, homogeneous and neo-Hookean. Based on the theory of finite deformations for hyperelastic membranes, a variational formulation is developed. First the exact solution of the membrane under a uniform radial stretch is obtained and then the equations of motion of the pre-stretched membrane are derived using the Hamilton’s principle. From the linearized equations of motion, the natural frequencies and mode shapes of the membrane are obtained analytically. Then the natural modes are used to approximate the nonlinear deformation field using the Galerkin method. Several reduced order models are tested using the Karhunen-Loève method and analytical methods. Besides, the influence of the variation of the membrane thickness and material density along the radial direction of the membrane on the vibrations is investigated. The same methodology it is used for the annular membrane. Finally, the non-linear vibrations of the annular membrane coupled to a rigid inclusion are studied. The rigid inclusion inserts traction forces in the membrane and its own weight causes static transverse and radial displacements in the membrane. The same problems are analyzed by finite elements using the commercial program Abaqus®.
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HARBOE, PAULA BRANDAO. "ANALYSIS OF CYLINDRICAL OBSTACLES IN WAVEGUIDES RECTANGULAR AMD CIRCULAR." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1991. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8842@1.

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TELECOMUNICAÇÕES BRASILEIRAS S/A<br>Neste trabalho, o efeito de um obstáculo cilíndrico do tipo poste em guias de ondas retangulares e circulares é o objeto de estudo. Considerando-se um poste metálico em um guia de ondas retangular, utiliza-se o método dos momentos e diádicas de Green como técnica de obtenção de soluções. Utilizando a mesma metodologia, estada-se um poste metálico em um guia de ondas circular. A análise de um poste dielétrico em guias de ondas retangular e circular é feita através da técnica perturbacional.<br>In this work, the effect of a cylindrical obstacle such as a post in rectangular and circular waveguides is the subject of study. Considering a metallic post in a rectangular waveguide, the Method of Moments and the Dyadic Green s Functions are applied to obtain the solutions. The same methodology is used to study a metallic post in a circular waveguide. A perturbational analysis is carried out to study a dielectric pos in retangular and circular waveguides.
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Naom, K. "Shear driven thin liquid films in rectangular and circular ducts." Thesis, University of Strathclyde, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382365.

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Kent, Robert B. "Circular and rectangular folk silos in the Andes of Southern Bolivia." Pontificia Universidad Católica del Perú. Centro de Investigación en Geografía Aplicada, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/119590.

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This paper documents the presence, characteristics, and distribution of folk silos (crop storage structures) in the southern portion of the department of Cochabamba, Bolivia. Known locally as trojes or silos, these silos are constructed in circular and rectangular plans from adobe and local plant materials. Circular silos are used primarily to store com, while a wider variety of crops, including potatoes, peanuts, wheat, and barley are stored in the rectangular silos. A review of the literature on crop storage structures in the Andean region suggests that the design and use of these present-day silos is likely of Inca origin.
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Рибалко, Юлія Олександрівна, Юлия Александровна Рыбалко, and Yuliia Oleksandrivna Rybalko. "Design of rectangular to circular waveguide transition for multiband DNP system." Thesis, Sumy State University, 2016. http://essuir.sumdu.edu.ua/handle/123456789/46879.

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The wide availability of microwave devices and rapid increase in computational power for the calculation of complex electromagnetic systems has allowed the creation of numerous solutions for the transportation of microwave energy from the microwave source to the sample in the nuclear magnetic resonance (NMR) probe [1].
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Bormann, Peter M. (Peter Mark) Carleton University Dissertation Engineering Mechanical and Aerospace. "Experimental verification of stress distributions in non-uniformly tensioned rectangular membranes." Ottawa, 1994.

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文國輝 and Kwok-fai Man. "Elastic solution for rectangular and circular plates on non-homogeneous soil foundation." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1988. http://hub.hku.hk/bib/B31208320.

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AlAli, Tareq. "A Comparison of Rectangular vs. Circular Radiographic Collimation During Simulated Endodontic Therapy." VCU Scholars Compass, 2013. http://scholarscompass.vcu.edu/etd/3012.

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Rectangular collimation is used in dentistry to reduce radiation by restricting the x-ray beam to approximately the size of a number 2 intraoral film (3.2X4.1 cm). However, this restricted beam size can lead to exposure errors. The aim of this study was to retrospectively evaluate the number of radiographs exposed and the presence of technical errors by the use of traditional circular or rectangular collimators during endodontic therapy on simulated teeth in manikins. A total of 1475 digital radiographs of 84 teeth exposed by 60 dental students were evaluated. Evaluation was done by a board certified endodontist, an endodontic resident, and a dental student. Analysis of the different raters showed no significant differences among the three. Radiographs were randomized and blindly renamed. Repeated-measures mixed-model ANOVA was used to compare the number of radiographs exposed using the different collimators. Although not statistically significant (P<.05), there were 15% more radiographs taken with the rectangular collimator when compared to the circular collimator. Using a repeated-measures logistic regression, there was a significant difference of the proportion of radiographs with cone cuts (P = .0003) taken with a rectangular collimator (59%) compared to radiographs taken with a circular collimator (19%). There was no significant evidence for a collimator difference when considering missed apex (P = .0986) or missed apex due to a cone cut (P = .0631). In order to expose high quality radiographs avoiding cone cuts, a traditional circular collimator may be indicated for use during endodontic therapy.
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Man, Kwok-fai. "Elastic solution for rectangular and circular plates on non-homogeneous soil foundation /." [Hong Kong : University of Hong Kong], 1988. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12350679.

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Huang, He. "Large-Amplitude Vibration of Imperfect Rectangular, Circular and Laminated Plate with Viscous Damping." ScholarWorks@UNO, 2014. http://scholarworks.uno.edu/td/1924.

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Large-amplitude vibration of thin plates and shells has been critical design issues for many engineering structures. The increasingly more stringent safety requirements and the discovery of new materials with amazingly superior properties have further focused the attention of research on this area. This thesis deals with the vibration problem of rectangular, circular and angle-ply composite plates. This vibration can be triggered by an initial vibration amplitude, or an initial velocity, or both. Four types of boundary conditions including simply supported and clamped combined with in-plane movable/immovable are considered. To solve the differential equation generated from the vibration problem, Lindstedt's perturbation technique and Runge-Kutta method are applied. In previous works, this problem was solved by Lindstedt's Perturbation Technique. This technique can lead to a quick approximate solution. Yet based on mathematical assumptions, the solution will no longer be accurate for large amplitude vibration, especially when a significant amount of imperfection is considered. Thus Runge-Kutta method is introduced to solve this problem numerically. The comparison between both methods has shown the validity of the Lindstedt's Perturbation Technique is generally within half plate thickness. For a structure with a sufficiently large geometric imperfection, the vibration can be represented as a well-known backbone curve transforming from soften-spring to harden-spring. By parameter variation, the effects of imperfection, damping ratio, boundary conditions, wave numbers, young's modulus and a dozen more related properties are studied. Other interesting research results such as the dynamic failure caused by out-of-bound vibration and the change of vibration mode due to damping are also revealed.
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Books on the topic "Rectangular and circular membranes"

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Ammar, Salem. Characteristic deformation modes and fractures inhydrostaticbulging of thin, circular, rectangular and ellipticallaminateddiaphragms. UMIST, 1994.

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C, McCormick Duane, and United States. National Aeronautics and Space Administration., eds. Laser velocimeter and total pressure measurements in circular-to-rectangular transition ducts. National Aeronautics and Space Administration, 1990.

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Center, Langley Research, ed. Some solutions for the large deflections of uniformly loaded circular membranes. National Aeronautics and Space Administration, Langley Research Center, 1997.

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Fichter, W. B. Some solutions for the large deflections of uniformly loaded circular membranes. National Aeronautics and Space Administration, 1997.

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Xiao-Ling, Zhao, ed. Design guide for circular and rectangular hollow section welded joints under fatigue loading. TÜV-Verlag, 2001.

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C, Hsieh K., and Langley Research Center, eds. Stability of capillary surfaces in rectangular containers: The right square cylinder. National Aeronautics and Space Administration, Langley Research Center, 1998.

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Burley, James R. Static investigation of circular-to-rectangular transition ducts for high-aspect-ratio nonaxisymmetric nozzles. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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Chan, Samuel S. M. Structural design considerations for deep mine shafts: Analysis of circular, rectangular, and elliptical openings. U.S. Dept. of the Interior, Bureau of Mines, 1985.

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R, Hingst H., Okiishi T. H. 1939-, and Lewis Research Center, eds. An experimental comparison of nonswirling and swirling flow in a circular-to-rectangular transition duct. Lewis Research Center, 1991.

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Beus, Michael J. Field measurement and finite-element modeling of circular and rectangular shaft shapes in the Coeur d'Alene mining district, Idaho. U.S. Dept. of the Interior, Bureau of Mines, 1985.

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Book chapters on the topic "Rectangular and circular membranes"

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Garrett, Steven L. "Three-Dimensional Enclosures." In Understanding Acoustics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44787-8_13.

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Abstract In this chapter, solutions to the wave equation that satisfies the boundary conditions within three-dimensional enclosures of different shapes are derived. This treatment is very similar to the two-dimensional solutions for waves on a membrane of Chap. 10.1007/978-3-030-44787-8_6. Many of the concepts introduced in Sect. 10.1007/978-3-030-44787-8_6#Sec1 for rectangular membranes and Sect. 10.1007/978-3-030-44787-8_6#Sec5 for circular membranes are repeated here with only slight modifications. These concepts include separation of variables, normal modes, modal degeneracy, and density of modes, as well as adiabatic invariance and the splitting of degenerate modes by perturbations. Throughout this chapter, familiarity with the results of Chap. 10.1007/978-3-030-44787-8_6 will be assumed. The similarities between the standing-wave solutions within enclosures of different shapes are stressed. At high enough frequencies, where the individual modes overlap, statistical energy analysis will be introduced to describe the diffuse (reverberant) sound field.
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Dhanawat, Meenakshi, Kashish Wilson, Garima, Sumeet Gupta, and Satish Sardana. "Carbon Nanotube Membranes from Waste Materials for Water Treatment." In Circular Economy. CRC Press, 2024. http://dx.doi.org/10.1201/9781003432869-17.

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Razali, Aina Basyirah Ahmad, and Faridah Yusof. "Recovery of Bioactive Peptides from the Agri-Industrial Wasteful Eggshell Membranes." In Circular Bioeconomy. Springer Nature Singapore, 2024. https://doi.org/10.1007/978-981-97-7010-6_1.

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Benson, F. A., and T. M. Benson. "Rectangular and circular waveguides and cavity resonators." In Fields, Waves and Transmission Lines. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-2382-2_3.

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Hejazi, Farzad, and Hojjat Mohammadi Esfahani. "Analysis of Steel Rectangular Plate with Circular Hole." In Solving Complex Problems for Structures and Bridges Using ABAQUS Finite Element Package. CRC Press, 2021. http://dx.doi.org/10.1201/9781003213369-3.

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Kolesnikov, Alexey M. "Ball Indentation of Perforated Circular Hyperelastic Membranes." In Advanced Structured Materials. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-26186-2_24.

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Phoo, K. S., M. Z. A. Abd Aziz, B. H. Ahmad, M. A. Othman, M. K. Suaidi, and F. Abd Malek. "Investigation of Inverted Suspended Rectangular Patch Circular Polarized Antenna." In Theory and Applications of Applied Electromagnetics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17269-9_33.

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Ghazali, Muhammad Faiz, Lai-Kuan Wong, and John See. "Automatic Detection and Counting of Circular and Rectangular Steel Bars." In 9th International Conference on Robotic, Vision, Signal Processing and Power Applications. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1721-6_22.

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Folha, Rodrigo, Valeria Cesario Times, and Claudivan Cruz Lopes. "Asymmetric Scalar Product Encryption for Circular and Rectangular Range Searches." In Advances in Databases and Information Systems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44039-2_13.

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RamaDevi, K., A. Jhansi Rani, and A. Mallikarjuna Prasad. "Performance Comparison of Rectangular and Circular Patch Microstrip Yagi Antenna." In Advances in Computing and Information Technology. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-31600-5_47.

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Conference papers on the topic "Rectangular and circular membranes"

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Veličković, Dragutin M., Žaklina J. Mančić, and Dijana G. Zulkić. "Rectangular Coax with Axial Slit and with Rectangular or Circular Center Conductor." In 1998_EMC-Europe_Roma. IEEE, 1998. https://doi.org/10.23919/emc.1998.10791842.

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Dougher, Molly, Laurianne Lair, Jonathan Aubuchon Ouimet, William A. Phillip, Thomas J. Tarka, and Alexander W. Dowling. "Opportunities for Process Intensification with Membranes to Promote Circular Economy Development for Critical Minerals." In Foundations of Computer-Aided Process Design. PSE Press, 2024. http://dx.doi.org/10.69997/sct.127504.

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Critical minerals are essential to the future of clean energy, especially energy storage, electric vehicles, and advanced electronics. In this paper, we argue that process systems engineering (PSE) paradigms provide essential frameworks for enhancing the sustainability and efficiency of critical mineral processing pathways. As a concrete example, we review challenges and opportunities across material-to-infrastructure scales for process intensification (PI) with membranes. Within critical mineral processing, there is a need to reduce environmental impact, especially concerning chemical reagent usage. Feed concentrations and product demand variability require flexible, intensified processes. Further, unique feedstocks require unique processes (i.e., no one-size-fits-all recycling or refining system exists). Membrane materials span a vast design space that allows significant optimization. Therefore, there is a need to rapidly identify the best opportunities for membrane implementation, thus informing materials optimization with process and infrastructure scale performance targets. Finally, scale-up must be accelerated and de-risked across the materials-to-process levels to fully realize the opportunity presented by membranes, thereby fostering the development of a circular economy for critical minerals. Tackling these challenges requires integrating efforts across diverse disciplines. We advocate for a holistic molecular-to-systems perspective for fully realizing PI with membranes to address sustainability challenges in critical mineral processing. The opportunities for PI with membranes are excellent applications for emerging research in machine learning, data science, automation, and optimization.
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Promploy, Thanadej, Dhirath Thanglerdsumpan, Lerson Kirasamuthranon, and Paleerat Wongchampa. "Miniaturized Rectangular Patch Antenna with Circular Polarization for Enhanced Biomedical Communication." In 2024 IEEE 10th International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications (MAPE). IEEE, 2024. https://doi.org/10.1109/mape62875.2024.10924458.

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Happawana, G. S., A. K. Bajaj, and O. D. I. Nwokah. "Eigenvalue Veering, Perturbed Bifurcation Theory and Modal Analysis of Mistuned Linear Systems." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0162.

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Abstract Eigenloci crossing or veering in structural systems dependent on parameters, and having two nearly identical eigenvalues, is the subject of this paper. Utilizing some basic ideas from the perturbed bifurcation theory, a criterion for identifying eigenloci crossing or veering is presented along with a method for studying the modal properties of mistuned structural systems. Two classical continuous systems: a clamped rectangular membrane and a rotating guided circular string, have been chosen as illustrations. The analysis is performed by applying the singular perturbations technique for asymptotic expansions. These expansions are used to detect correctly, whether the eigenloci will cross over or veer away from a particular “singular” point under the influence of small parameter variations from nominal values. This is useful in the correct identification of the vibration behavior of mechanical systems subject to structural parameter variations, since it is known that only the eigenloci veering leads to modal bifurcations.
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Adibi-Asl, R., and W. Reinhardt. "Ratchet Boundary of a Beam With Arbitrary Cross Section." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-98084.

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The classical approaches in shakedown analysis are based the assumption that the stresses are eventually within the elastic range of the material everywhere in a component (elastic shakedown). Therefore, these approaches are not very useful to predict the ratcheting limit (ratchet limit) of a component/structure in which the magnitude of stress locally exceeds the elastic range at any load, although in reality the configuration will certainly permit plastic shakedown. In recent years, the “Non-Cyclic Method” (NCM) was proposed by the present authors to predict the entire ratchet boundary (both elastic and plastic) of a component/structure by generalizing the static shakedown theorem (Melan’s theorem). The fundamental idea behind the proposed method is to (conservatively) determine the stable and unstable boundary without going through the cyclic history. The method is used to derive the interaction diagrams for a beam subjected to primary membrane and bending with secondary bending loads. Various cross-sections including rectangular, solid circular and thin pipe are investigated.
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Korde, Umesh A., Christopher H. M. Jenkins, Joseph J. Farke, and Mark E. Hofacker. "Adaptive rectangular membranes actuated near boundaries." In Smart Structures and Materials, edited by Yuji Matsuzaki. SPIE, 2006. http://dx.doi.org/10.1117/12.657474.

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Karyakin, Mikhail, Olga Pustovalova, and Yuri Ustinov. "Mathematical Modelling of Circular Corrugated Membranes." In 2018 5th International Conference on Mathematics and Computers in Sciences and Industry (MCSI). IEEE, 2018. http://dx.doi.org/10.1109/mcsi.2018.00023.

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Togcuoglu, Nurettin Baha, Yunus Albayrak, Mustafa Niyazi Saylik, et al. "Circular patch antenna with circular and rectangular slots." In 2017 25th Signal Processing and Communications Applications Conference (SIU). IEEE, 2017. http://dx.doi.org/10.1109/siu.2017.7960266.

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Amjad, Syed Nabeel, and Nadeem Shafi Khan. "Forced Vibration Analysis of Rectangular Membranes with Clamped Edges." In 2018 3rd International Conference on Emerging Trends in Engineering, Sciences and Technology (ICEEST). IEEE, 2018. http://dx.doi.org/10.1109/iceest.2018.8643316.

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Amjad, Syed Nabeel, and Nadeem Shafi Khan. "Forced Vibration Analysis of Rectangular Membranes with Clamped Edges." In 2018 3rd International Conference on Emerging Trends in Engineering, Sciences and Technology (ICEEST). IEEE, 2018. http://dx.doi.org/10.1109/iceest.2018.8643323.

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Reports on the topic "Rectangular and circular membranes"

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Huting, William A. Rectangular-to-Circular Waveguide Transitions for High-Power Circular Overmoded Waveguides. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada213925.

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Tran, T. N., M. W. Wambsganss, and D. M. France. Boiling heat transfer with three fluids in small circular and rectangular channels. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/93485.

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Mautz, Joseph R., and Roger F. Harrington. Computer Program for Numerical Evaluation of the Performance of a TM01 Circular to TE10 Rectangular Waveguide Mode Converter. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada257694.

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Mautz, Joseph R., and Roger F. Harrington. A Procedure for Numerical Evaluation of the Performance of a TM01 Circular to TE10 Rectangular Waveguide Mode Converter. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada230445.

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Nielsen, Lars. PR-466-143602-R01 The Impact of Fluctuations in AC Interference on the Corrosion Risk for Buried Pipelines. Pipeline Research Council International, Inc. (PRCI), 2016. http://dx.doi.org/10.55274/r0010695.

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The objective of paper is to study the effect of fluctuating AC interference phenomenon (AC interference time duration and level of AC interferences) on the corrosion risk of pipelines. This fluctuation typically represents the actual condition experienced by the pipeline but is not entirely captured or discussed in current guidelines or standards (e.g., the EN 15280:2013) which operates only with average values over a representative period of time. This study involves systematic laboratory investigations of fluctuating AC voltage levels (0, 6, 25, and 40 V) for various time durations and the comparison of the resulting corrosion rates. The DC ON-potential has been kept constant at four different levels (-1100, -1250, -1500, and -1750 mV CSE). The corrosion rates have been measured on weight loss coupons as well as ER probes in circular and rectangular shapes. Conditions and resulting corrosion rates for fluctuating AC conditions have been compared with conditions and corrosion rates obtained in reference experiments with constant AC. Potential mapping of the experimental setup has been made to verify the setup, which was found to be satisfactory. It also underlines the importance of a proper experimental design for laboratory scale AC corrosion investigations.
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FINITE ELEMENT SIMULATION FOR ULTRA-HIGH-PERFORMANCE CONCRETE-FILLED DOUBLE-SKIN TUBES EXPOSED TO FIRE. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/icass2020.p.263.

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Ultra-high-performance concrete (UHPC) or ultra-high-strength concrete (UHSC) are alternatively used to reduce construction materials, thereby achieving more sustainable constructions. Moreover, engaging the advantages of concrete cores and outer steel tubes in concrete-filled steel tubes (CFST) or ductile concrete-filled double-skin tubes (CFDST) is of great interest for the better performance of such members under fire. Nevertheless, current design provisions do not provide design models for UHPC-filled double-skin tubes under fire, and existing finite-element (FE) methodologies available in the literature may not accurately simulate the behaviour of CFDST exposed to fire. Therefore, this paper develops a comprehensive FE protocol implementing the scripting technique to model CFDST members for heat transfer and coupled (simultaneously or sequentially) thermal-stress analyses. Various modelling parameters incorporated in the proposed FE routine include the cross-sectional geometry (circular, elliptical, hexagonal, octagonal, and rectangular), the size (width, diameter, and wall thickness), interactions, meshing, thermal- and mechanical-material properties, and boundary conditions. The detailed algorithm for heat transfer analysis is presented and elaborated via a flow chart. Validations, verifications, and robustness of the developed FE models are established based on extensive comparison studies with existing fire tests available in the literature. As a result, and to recognize the value of the current FE methodology, an extensive parametric study is conducted for different affecting parameters (e.g., nominal steel ratio, hollowness ratio, concrete cylindrical strength, yield strength of metal tubes, and width-to-thickness ratio). Extensive FE results are used for optimizing the fire design of such members. Consequently, a simplified and accurate analytical model that can provide the axial load capacity of CFDST columns under different fire ratings is presented
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