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Journal articles on the topic 'Rectangular and circular membranes'

Author: Grafiati

Published: 3 June 2025

Last updated: 20 July 2025

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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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2

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

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3

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

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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 tangentia

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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

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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

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7

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 colle

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8

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’

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9

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

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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 temp

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Tung, Hoang Thanh, Nguyen Ba Nam, Nguyen Phuc Huy, Truong Thi Bich Phuong, and Duong Tan Nhut. "Enhanced growth and development of Chrysanthemum morifolium in microponic system under light-emitting diodes." Vietnam Journal of Biotechnology 14, no. 4 (2018): 653–60. http://dx.doi.org/10.15625/1811-4989/14/4/12298.

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This paper investigated the growth and development of Chrysanthemum shoots in microponic systems in comparison with shoots in micropropagation system. A microponic culture system, combining micropropagation and hydroponics, could reduce the drawbacks of micropropagation system such as reduction of infection, saving of labor, material, space, etc. In this study, Chrysanthemum morifolium shoots with 3 cm in length were cultured in MC (microponic system with circular container - 12 cm diameter at top, 9 cm diameter at bottom and 8.5 cm in height), MR (microponic system with rectangular box - 8.5

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Wei, Qingyuan, Zhi Wang, Dongyan Shi, and Xiongliang Yao. "Method based on the membrane theory for equivalence between arbitrarily shaped pressure pulse applied on circular plate and rectangular pressure pulse." International Journal of Impact Engineering 179 (September 2023): 104658. http://dx.doi.org/10.1016/j.ijimpeng.2023.104658.

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13

da Silveira, Thiago, Eduardo Araujo Crestani, Elizaldo Domingues dos Santos, and Liércio André Isoldi. "Numerical Analysis of Aspect Ratio Effects on the Mechanical Behavior of Perforated Steel Plates." Metals 15, no. 7 (2025): 786. https://doi.org/10.3390/met15070786.

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Thin plates are commonly used in mechanical structures such as ship hulls, offshore platforms, aircraft, automobiles, and bridges. When subjected to in-plane compressive loads, these structures may experience buckling. In some applications, perforations are introduced, altering membrane stress distribution and buckling behavior. This study investigates the elasto-plastic buckling behavior of perforated plates using the Finite Element Method (FEM), Constructal Design (CD), and Exhaustive Search (ES) techniques. Simply supported thin rectangular plates with central elliptical perforations were a

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14

Song, Boni, Feng Yong, Changkun Liu, et al. "The Micromorphology and Its Taxonomic Value of the Genus Sanicula L. in China (Apiaceae)." Plants 13, no. 12 (2024): 1635. http://dx.doi.org/10.3390/plants13121635.

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The genus Sanicula L. possesses many medically important plants, belonging to the family Apiaceae. It is one of the most taxonomically difficult taxa, largely due to the great variability in habit, foliage, flowers and fruits. Previous studies have mainly focused on the molecular studies of this genus, and the morphological research for this genus was limited, especially in the micromorphological research. In the current study, we newly obtained leaf materials from twenty-two Sanicula members, fruit and pollen materials from twenty Sanicula members and performed comprehensively micromorphologi

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15

Lavretskii, E. I. "Scattering from a rectangular aperture in rectangular-to-circular and circular-to-circular waveguide junctions." IEE Proceedings - Microwaves, Antennas and Propagation 141, no. 6 (1994): 489. http://dx.doi.org/10.1049/ip-map:19941406.

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16

Pham, Van Vi, Ngoc Anh Do, and Daniel Dias. "Sub-Rectangular Tunnel Behavior under Seismic Loading." Applied Sciences 11, no. 21 (2021): 9909. http://dx.doi.org/10.3390/app11219909.

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Circular and rectangular tunnel shapes are usually chosen when excavating at shallow depths in urban areas. However, special-shaped tunnels such as sub-rectangular tunnels have recently been used to overcome some drawbacks of circular and rectangular tunnels in terms of low space utilization efficiency and stress concentration, respectively. In the literature, experimental studies as well as analytical and numerical models have been developed for the seismic analysis and vulnerability assessment of circular and rectangular tunnels since the early 1990s. However, knowledge gaps regarding the be

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17

Gottlieb, H. P. W. "Isospectral circular membranes." Inverse Problems 20, no. 1 (2003): 155–61. http://dx.doi.org/10.1088/0266-5611/20/1/009.

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18

You, Ki Pyo, Young Moon Kim, and Jang Youl You. "Tuned Liquid Damper Experiment Using Shaking Table." Applied Mechanics and Materials 421 (September 2013): 772–77. http://dx.doi.org/10.4028/www.scientific.net/amm.421.772.

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The present study examines the characteristics of rectangular and circular tuned liquid dampers, which control wind-induced vibration in tall buildings, according to the natural frequency. The tuned liquid dampers (TLD) were of frequencies: 0.44Hz, 0.55Hz, 0.64Hz and 0.73Hz. The tuning feature of TLD water tanks was better in circular water tanks than in rectangular water tanks. Excitation amplitude affected the damping ratio based on energy dissipation capacity. At low excitation (below 5mm) and low natural frequency (0.44Hz), circular water tanks were advantageous over rectangular water tank

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19

Lei, Zhiliang, and Zewei Bao. "Supercritical Heat Transfer and Pyrolysis Characteristics of n-Decane in Circular and Rectangular Channels." Energies 16, no. 9 (2023): 3672. http://dx.doi.org/10.3390/en16093672.

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In this research, the effects of different channel cross-section shapes on the flow, heat transfer and pyrolysis characteristics of n-decane were analyzed and compared based on CFD simulations. The interactions between cracking, heat transfer and flow field in a circular tube and a rectangular tube were studied. The results showed that the mean pressure drop in the rectangular channel is 1.18 times as high as that in the circular channel with pyrolysis due to its smaller equivalent diameter. The maximum value of the chemical heat sink in the rectangular channel is 1.6 times as high as that in

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20

Jiang, Tao, Zili Jiang, Weida Bai, Guang Yang, and Zhengfeng Xiong. "An X-band compact rectangular waveguide TE₁₀-circular waveguide TE₀₁ mode converter." Review of Scientific Instruments 94, no. 4 (2023): 044704. http://dx.doi.org/10.1063/5.0146263.

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This paper proposed an X-band compact efficient rectangular waveguide TE10-circular waveguide TE01 mode converter and conducted its structure design, theoretical analysis, numerical simulation, and experimental research. This mode converter is composed of a rectangular waveguide TE10–TE20 mode converter and a rectangular waveguide TE20-circular waveguide TE01 mode converter. In the design of the rectangular waveguide TE20-circular waveguide TE01 mode converter, a rectangular waveguide step is used to counteract the microwave reflection due to the discontinuity of the rectangular–circular waveg

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21

Nagasekhar, A. V., Carlos H. Cáceres, and Mark Easton. "Cross-Sectional Geometry and the Intermetallics Structure in a High Pressure Die Cast Mg-Al Alloy." Materials Science Forum 638-642 (January 2010): 1579–84. http://dx.doi.org/10.4028/www.scientific.net/msf.638-642.1579.

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Specimens of rectangular and circular cross section of a Mg-9Al binary alloy have been tensile tested and the cross section of undeformed specimens examined using scanning electron microscopy. The rectangular cross sections showed three scales in the cellular intermetallics network: coarse at the core, fine at the surface and very fine at the corners, whereas the circular ones showed only two, coarse at the core and fine at the surface. The specimens of rectangular cross section exhibited higher yield strength in comparison to the circular ones. Possible reasons for the observed increased stre

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22

Sharipkhan, Nurdaulet, Omonini Clifford, Asma Perveen, Di Chuan Zhang, and Dong Ming Wei. "Investigation of Co-Extrusion Using a Coat Hanger Die with Different Feedblock Cross-Section." Key Engineering Materials 973 (February 9, 2024): 131–37. http://dx.doi.org/10.4028/p-rctkv4.

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When using the coat hanger die method for co-extrusion, the biggest challenges often involve maintaining the uniformity of the velocity distribution at the outlet of the die and ensuring the stability of the interface plane. This paper investigates the effect of different cross-section of feed channels connected to the coat hanger die on the velocity and pressure distribution of the flow at different parts of the die. Co-extrusion of LLDPE (Linear Low Density Polyethylene) and HDPE (High Density Polyethylene) polymers is simulated using ANSYS software 2020 R2 for coat hanger die design with re

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23

Tabatabaei, Seyyed Mohammad Reza, and Hamid Zeraatgar. "Parametric Comparison of Rectangular and Circular Pontoons Performance as Floating Breakwater Numerically." Polish Maritime Research 25, s1 (2018): 94–103. http://dx.doi.org/10.2478/pomr-2018-0029.

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Abstract Rectangular and circular pontoons are one of the most widely cross-sections used as floating breakwaters (FB). Although, there are several articles on comparison of behavior of rectangular and circular floating breakwaters however, the Authors try to show some details of difference between these two types where they have not been addressed before. To do so, transmission coefficient (Ct), as a measure of merit, of similar rectangular and circular sections is numerically compared. A computer code is developed for two-dimensional hydrodynamic analysis of floating breakwater based on diff

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24

Saeed, Hazim Y., Rashi Khubnani, Poornima Ediga, Manish Gupta, Rajeev Kumar, and Ravi Kalra. "Buckling Analysis of Vertical Structures: A Comprehensive Finite Element Study." E3S Web of Conferences 507 (2024): 01055. http://dx.doi.org/10.1051/e3sconf/202450701055.

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Buckling analysis of a vertical structures is crucial in structural design for various loads, and simultaneously, reducing the long structures mass is essential for minimizing weight and cost. This study involves the analysis of long structures with rectangular and circular cross-sections under compressive loads, calculating the buckling load multiplier. Additionally, hollow rectangular and hollow circular columns are designed and analyzed under the same load and boundary conditions as the solid counterparts. By varying the hollowness of the rectangular and circular columns, the buckling load

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Ulima Achva, RA Jihan, and Mohammad Fadhli. "Optimasi Efisiensi Antena Microstrip Circular Patch menggunakan Optimizer CST, Algoritma Memetika, dan Slot Rectangular pada WiFi 5 GHz." Jurnal RESISTOR (Rekayasa Sistem Komputer) 6, no. 1 (2023): 29–33. http://dx.doi.org/10.31598/jurnalresistor.v6i1.1401.

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Wireless communication is an important requirement in various applications, especially in WiFi networks. The efficiency of an antenna is a crucial aspect in designing wireless communication system and plays a significant role in ensuring strong and reliable signal transmission. This research belongs to comparison of the result of optimizing the efficiency of microstrip circular patch antennas for 5GHz WiFi frequencies using the optimizer in CST, memetic algorithm and rectangular slot. From the simulation result, the efficiency values of the microstrip circular patch antennas using different op

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Tuan, Christopher Y. "Ponding on circular membranes." International Journal of Solids and Structures 35, no. 3-4 (1998): 269–83. http://dx.doi.org/10.1016/s0020-7683(97)00076-0.

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27

Prof. Romi Morzelona. "Evaluation and Examination of Aperture Oriented Antennas." International Journal of New Practices in Management and Engineering 6, no. 01 (2017): 01–07. http://dx.doi.org/10.17762/ijnpme.v6i01.49.

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The exhaustive evaluation and analysis of aperture oriented antennas for different dimensions at two different frequencies (1800 MHz and 2.4 GHz) is presented in this paper. Design and comparison of the antennas for their performance is done through MATLAB. It is inferred that the circular aperture antenna has 95% higher directivity than rectangular aperture antenna. In addition, for the circular aperture antenna HPBW is 0.2849 degrees and for rectangular aperture HPBW is 1.0143 degrees. Also, circular patch antenna has less side lobe power than that of rectangular aperture antenna.

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Deshpande, M., and N. Das. "Rectangular microstrip antenna for circular polarization." IEEE Transactions on Antennas and Propagation 34, no. 5 (1986): 744–46. http://dx.doi.org/10.1109/tap.1986.1143886.

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29

Yeap, Kim Ho, Eric Vun Shiung Wong, Humaira Nisar, Koon Chun Lai, and Choon Aun Ng. "Attenuation in Circular and Rectangular Waveguides." Electromagnetics 37, no. 3 (2017): 171–84. http://dx.doi.org/10.1080/02726343.2017.1301198.

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CUI, Licheng. "Rectangular-to-circular groove waveguide junction." Science in China Series E 46, no. 4 (2003): 343. http://dx.doi.org/10.1360/02ye0375.

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Murakami, Yuichi, Akimasa Yoshida, Kiyokazu Ieda, and Takashi Nakamura. "Rectangular loop antenna for circular polarization." Electronics and Communications in Japan (Part I: Communications) 79, no. 3 (1996): 42–51. http://dx.doi.org/10.1002/ecja.4410790305.

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32

Pham, Vi Van, Anh Ngoc Do, Hung Trong Vo, Daniel Dias ., Thanh Chi Nguyen, and Do Xuan Hoi. "Effect of soil Young’s modulus on Sub-rectangular tunnels behavior under quasi-static loadings." Journal of Mining and Earth Sciences 63, no. 3a (2022): 10–21. http://dx.doi.org/10.46326/jmes.2022.63(3a).02.

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Tunnels are an important component of the transportation and utility system of cities. They are being constructed at an increasing rate to facilitate the need for space expansion in densely populated urban areas and mega-cities. The circular and rectangular tunnels cannot completely meet the requirements of underground space exploitation regarding the cross-section. Sub-rectangular tunnels are recently used to overcome some drawbacks of circular and rectangular tunnels in terms of low utilization space ratio and stress concentration, respectively. However, the behavior of the sub-rectangular t

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Anjali, Rai, G. Kumbhar Dnyaneshwar, and B. Sutar Kailasnath. "Computational Investigation on Natural Convection Heat Transfer in Vertical Plate Fin Arrays." Indian Journal of Science and Technology 14, no. 24 (2021): 2069–80. https://doi.org/10.17485/IJST/v14i24.863.

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Abstract <strong>Objectives</strong>: To perform computational studies on different combinations of plate fin arrays of different shapes for studying their performance in natural convection heat transfer. To compare the heat transfer performance of uniform notched fins with hybrid notched fins and also performance of normal notched fins with inverted notched fins. <strong>Methods</strong>: SolidWorks Flow Simulation software is used for the present computational studies. Three types of vertical plate fin arrays viz. plain rectangular fin, rectangular fin with square notch and rectangular

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Mishra, Durgesh Kumar, Sumit Bhowmik, and Krishna Murari Pandey. "Analysis of Heat Transfer Rate for Different Annulus Shape Properties-Enhanced Beeswax-Based Phase Change Material for Thermal Energy Storage." Mathematical Problems in Engineering 2022 (February 27, 2022): 1–21. http://dx.doi.org/10.1155/2022/6123472.

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Thermal exploration of melting phenomena of four different annulus shapes’ (circular-circular, circular-rectangular, rectangular-circular, and rectangular-rectangular) beeswax-based phase change material for latent heat energy storage system is discussed here. To overcome the low efficiency in heat transfer because of low thermal conductivity of beeswax (the energy storage material in the current study), the composite-beeswax approach has been investigated numerically. Three metal oxides (Al2O3, MgO, and SiO2) with different volume concentrations (1%, 3%, and 5%) containing high thermal conduc

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Datkar, Nivrutti V. "Comparative Analysis of Circular and Rectangular Water Tank in Severe Seismic Zones." International Journal for Research in Applied Science and Engineering Technology 13, no. 4 (2025): 4893–901. https://doi.org/10.22214/ijraset.2025.69394.

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In the present work a comparative analysis for finding the optimized shape of water tank was performed. All models were then analyzed with action of loads and loading combinations prescribed by IS 1893 using STAAD PRO V8i SS5 series software for getting the most efficient and precise results. Total 08 models will be analyzed as per IS 1893 (part2), which are divided as 04 models of circular shape tank in all 04 seismic zones with tank empty condition and 04 models of rectangular shape tank in all 04 seismic zones with tank full condition after detailed analysis it was found that In tank full c

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S, Latha M. "Comparison of Analysis Between Rectangular and Circular Overhead Water Tank." Applied Research on Civil Engineering and Environment (ARCEE) 2, no. 02 (2021): 77–95. http://dx.doi.org/10.32722/arcee.v2i02.3646.

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Water tank is a container used for the storing of liquids and they are classified based on shape and location. The overhead tank is an important and it is very common public utility structure. The study predicts the analysis and design of the rectangular and circular overhead water tank using ETABS software. The water tank is modeled and analyzed by using dynamic analysis to resist lateral loads and design is made using working stress method manually. Dead load, live load, wind load and seismic loads are applied based on IS codes. The behavior of structure for the parameters like Story drift,

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Zhou, Xin Gang, and Hui Xia. "Influence of Geometry Parameters on Durability of Concrete Structures Exposed to Chloride Environment." Applied Mechanics and Materials 204-208 (October 2012): 3194–200. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.3194.

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Finite difference method (FDM) is used to numerical stimulation analysis for chloride diffusion in concrete. By numerical computing, comparison of chloride content profile in different concrete members with different sectional shapes is made. Calculation and comparison show the chloride content prolife in rectangular and circular section has obvious difference. If the side length of rectangular section is equal to the diameter of circular section, as well as the material property and environment, the chloride content in rectangular section is higher than that in that in circular section. In th

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Cortinez, V. H., and P. A. A. Laura. "Vibrations of non-homogeneous rectangular membranes." Journal of Sound and Vibration 156, no. 2 (1992): 217–25. http://dx.doi.org/10.1016/0022-460x(92)90694-s.

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Vodyanik, V. I. "Calculation of rectangular rupture safety membranes." Chemical and Petroleum Engineering 21, no. 6 (1985): 305–7. http://dx.doi.org/10.1007/bf01147945.

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40

Lim, Teik-Cheng. "Maximum Stresses in Rectangular Auxetic Membranes." physica status solidi (b) 257, no. 10 (2020): 2000300. http://dx.doi.org/10.1002/pssb.202000300.

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Tecpoyotl-Torres, Margarita, José Gerardo Vera-Dimas, Miguel Angel Flores-Gonzalez, and Rafael Vargas-Bernal. "Dos geometrías aplicadas a estructuras de defectos sobre planos de tierra rectangulares y circulares." Nova Scientia 8, no. 16 (2016): 1. http://dx.doi.org/10.21640/ns.v8i16.279.

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En este trabajo se compara el rendimiento de una antena de parche rectangular realizada sobre planos de tierra rectangular y circular, respectivamente. Se observa una mayor ganancia para el caso circular pero un menor ancho de banda. La comparación se llevó a cabo también cuando a los planos de tierra se agregaron defectos. Como resultado, se observaron cambios en las ganancias, el parámetro S11 y los anchos de banda.Para la antena rectangular sobre substrato rectangular con Defectos en el Substrato (DGS, por sus siglas en inglés) la principal mejora observada fue sobre el parámetro S11. Para

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Papziner, U., and F. Arndt. "Field theoretical computer-aided design of rectangular and circular iris coupled rectangular or circular waveguide cavity filters." IEEE Transactions on Microwave Theory and Techniques 41, no. 3 (1993): 462–71. http://dx.doi.org/10.1109/22.223746.

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Saini, Rohit Kumar. "Polarization Reconfigurable Dual-Band Rectangular Slot Antenna." Frequenz 73, no. 9-10 (2019): 339–51. http://dx.doi.org/10.1515/freq-2019-0020.

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Abstract A novel dual-band rectangular slot antenna is presented for dual-sense reconfigurable polarization. A W-shaped microstrip feedline and two rectangular parasitic patches are used to obtain dual-band circular polarization. Further, the feedline is modified so that the senses of polarization at the two bands are opposite. By introducing PIN-diodes in the feed lines, polarization can be switched among left-hand circular polarization (LHCP), right-hand circular polarization (RHCP), and linear polarization (LP). A prototype dual-band dual-sense antenna with f01 = 1.9 GHz and f02 = 3.45 GHz

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Zhang, Zhong Cheng. "Study on Heat Conduction of Microwave Oven." Applied Mechanics and Materials 415 (September 2013): 461–64. http://dx.doi.org/10.4028/www.scientific.net/amm.415.461.

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For the heat distribution problem of the baking dish food in microwave oven, we established a partial differential equation model for the unsteady heat conduction problems, and solved this model by using the finite element method. Then, we drew the figures of temperature field distribution for the circular pan and the rectangular pan at a certain time respectively. Based on the conjecture that the part of their internal circular area for the graphics between the circle and rectangle are uniformly distributed, we verified the relationship between the pan evenly heated area and the shape of the

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OLIVEIRA, D. S., and R. CARRAZEDO. "Numerical modeling of circular, square and rectangular concrete columns wrapped with FRP under concentric and eccentric load." Revista IBRACON de Estruturas e Materiais 12, no. 3 (2019): 518–50. http://dx.doi.org/10.1590/s1983-41952019000300006.

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Abstract In this paper, the finite element method was used for the numerical modeling of columns with square, rectangular and circular cross sections wrapped with FRP. The numerical modeling was successfully calibrated with the experimental data considering axial load, axial strain and transverse strain. The distribution of compressive stresses in the cross section of the column indicates that for centered load, circular cross sections have uniform distribution and for square and rectangular sections the effective confined concrete was defined by parabolas and concentrates next to the rounded

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de Villiers, E., and D. G. Kro¨ger. "Inlet Losses in Counterflow Wet-Cooling Towers." Journal of Engineering for Gas Turbines and Power 123, no. 2 (2001): 460–64. http://dx.doi.org/10.1115/1.1359236.

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The inlet loss coefficients for dry, isotropically packed, circular and rectangular counterflow cooling towers are determined experimentally and empirical correlations are formulated to fit this data. Computational fluid dynamics is used to investigate the dependence of the inlet loss coefficient on the rain zone characteristics. The rain zone generally dampens the inlet loss, but the coupling is indirect and involves a large number of dependent variables. The numerical model is validated by means of experimental data for dry towers and it is found that the degree of accuracy achieved for circ

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Wang, Peng, Qingyong Niu, Min Liu, Zhao Li, Xiaoming Cao, and Hao Zhang. "Numerical Analysis on Natural Vibration of Cylindrical shell with Different Cross-section." MATEC Web of Conferences 380 (2023): 01015. http://dx.doi.org/10.1051/matecconf/202338001015.

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Cylindrical shell in engineering has different cross-section, i.e., circular section, oval section, rectangular section, and so on. In this work, numerical analysis is conducted on natural vibration of cylindrical shell with different cross-section, and the difference is studied between modal frequency and modal shape from different section shell. Numerical results show that, with the same length, width /thickness and boundary condition, the first 10 order modal frequency from circular section shell is nearly 60% bigger than that from the rectangular section shell. This indicates that the load

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Kang, Jae-Hoon, and Bing Wei. "Degenerate mode shapes for rectangular membranes and simply supported rectangular plates." Journal of Vibration and Control 21, no. 8 (2013): 1633–38. http://dx.doi.org/10.1177/1077546313500062.

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Datkar, Nivrutti V., and Prof A. R. Pohare. "Study and Analysis of Circular and Rectangular Water Tank in all Seismic Zones." International Journal for Research in Applied Science and Engineering Technology 13, no. 4 (2025): 4724–33. https://doi.org/10.22214/ijraset.2025.69393.

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Abstract: In the present work a comparative analysis for finding the optimized shape of water tank was performed. All models were then analyzed with action of loads and loading combinations prescribed by IS 1893 using STAAD PRO V8i SS5 series software for getting the most efficient and precise results. Total 08 models will be analyzed as per IS 1893 (part2), which are divided as 04 models of circular shape tank in all 04 seismic zones with tank empty condition and 04 models of rectangular shape tank in all 04 seismic zones with tank empty condition after detailed analysis it was found that rec

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Kubura, Sejma, Sehabeddin Taha Imeci, and Ahmet Fehim Uslu. "Rectangular small patch antenna." Sustainable Engineering and Innovation 6, no. 1 (2023): 17–24. http://dx.doi.org/10.37868/sei.v6i1.id175.

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This paper discusses various challenges related to the antenna design process for sub 6 GHz, 5G communications. In the first example, the design is a square, simple antenna with two slots. Their parametric studies are made to see which parameters have affected the results. On the other hand, the second design for the antenna is represented as well, the design is still like a square, but the number of slots is bigger. The circular design of the antenna is also one of the most popular for 5G, but the results are not so good. For this kind of antenna below 6 GHz, a few slots are important, and a

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