Academic literature on the topic 'Two-dimensional rectangular prism'

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Journal articles on the topic "Two-dimensional rectangular prism"

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Park, Jeyeol, Heechan Park, Dohoon Kim, Minseo Kim, and Youngmin Cho. "A Study on the Inscribed Prolate Spheroid and Steiner Inscribed Prolate Spheroid of Rectangular Prism." Korean Science Education Society for the Gifted 16, no. 2 (2024): 227–40. http://dx.doi.org/10.29306/jseg.2024.16.2.227.

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This study extends the concept of the inscribed Prolate Spheroid defined of tetrahedron to explore the inscribed Prolate Spheroid of Rectangular prism. Furthermore, it extends the concept of the Steiner inellipse, defined in triangles andquadrilaterals on a plane, to three dimensions to explore the Steiner inscribed Prolate Spheroid of Rectangular prism. Through this study, the following results were obtained. First, the positional relationship of the two foci of the inscribedProlate Spheroid of Rectangular prism was elucidated. Second, the existence and number of inscribed Prolate Spheroid of
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Zhou, Shuai, Yunfeng Zou, Xugang Hua, and Zhipeng Liu. "Comparison of Two-Dimensional and Three- Dimensional Responses for Vortex-Induced Vibrations of a Rectangular Prism." Applied Sciences 10, no. 22 (2020): 7996. http://dx.doi.org/10.3390/app10227996.

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The accurate prediction of the amplitudes of vortex-induced vibrations (VIV) is important in wind-resistant design. Wind tunnel tests of scaled section models have been commonly used. However, the amplitude prediction processes were usually inaccurate because of insufficient evaluations of three-dimensional (3D) effects. This study presents experimental measurements of VIV responses in a prototype rectangular prism and its 1:1 two-dimensional section model in smooth flow. The results show that the section model vibrates with the same Reynolds number, equivalent mass, frequency, and damping rat
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García‐Abdeslem, J. "Gravitational attraction of a rectangular prism with depth‐dependent density." GEOPHYSICS 57, no. 3 (1992): 470–73. http://dx.doi.org/10.1190/1.1443261.

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The gravity effect produced by two and three‐dimensional bodies with nonuniform density contrast has been treated by several authors. One of the first attempts in this direction made by Cordell (1973), who developed a method to compute the gravity effect due to a two‐dimensional prism whose density decreases exponentially with depth. A different approach was proposed by Murthy and Rao (1979). They extended the line‐integral method to obtain the gravity effect for bodies of arbitrary cross‐sections, with density contrast varying linearly with depth. Chai and Hinze (1988) have derived a wavenumb
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Isgаndаrov, E., R. Hushanov, and N. Shahbazli. "DIGITAL MODELING OF GRAVITY-MAGNETIC ANOMALIES." Sciences of Europe, no. 164 (May 14, 2025): 26–32. https://doi.org/10.5281/zenodo.15401264.

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The article is devoted to the issue of modeling gravitational and magnetic anomalies, which is very important in solving the main - geological problem of gravity and magnetic exploration. When solving complex geological and geophysical problems using modern digital methods of processing and interpretation, it is very important to correctly specify the physical and geological model of the geological object under study. In a particular case, a more accurate assessment of the gravitational effects of model geological structures is very important. For this, homogeneous bodies of regular shape are
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Wang, De Xi, Qin Li, Fu Bao Li, and Zong Ke Li. "Research on the Splitting Measurement Method of Space Position in Three-Dimensional Field." Advanced Materials Research 139-141 (October 2010): 2015–18. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.2015.

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A research on measurement method of space position in three-dimensional field was demonstrated in this paper. According to the basic methods and principles of three-dimensional spatial position measurement, optical path of splitting design was used to divide an object point, through the red and green filters, into two beams of red and green, and then, through flat mirror, rectangular prism, cube prism and other optical design, it imaged on the same CCD camera film. Standard mesh was used to determine the relationship between two different spatial coordinates and the spatial pixel coordinates i
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Xin, Mingyong, Xueling Jiang, Changbao Xu, Jing Yang, and Caijiang Lu. "Two-Dimensional Omnidirectional Wind Energy Harvester with a Cylindrical Piezoelectric Composite Cantilever." Micromachines 14, no. 1 (2023): 127. http://dx.doi.org/10.3390/mi14010127.

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To improve the response-ability of the energy harvester to multidirectional wind, this paper proposes a wind energy harvester to scavenge wind-induced vibration energy. The harvester comprises a cylindrical beam instead of conventional thin rectangular cantilevers, a bluff body (square prism or circle cylinder), and a piezoelectric tube bonded to the bottom side of the beam for energy conversion. Benefiting from the symmetry of the cylindrical structure, this harvester can respond to airflow from every direction of the two-dimensional plane. The performance of the harvester under a wind speed
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Korukçu, M. Özgün. "MULTITHMT: A MATLAB Application for Multidimensional Transient Heat and Mass Transfer Processes." Processes 12, no. 7 (2024): 1411. http://dx.doi.org/10.3390/pr12071411.

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Transient heat conduction and mass transfer have many applications in industry such as heating, cooling, cooking, quenching of steels, freezing, and convective drying of vegetables or fruits. A novel, interactive, and fast MATLAB application, named MULTITHMT, is improved to solve multidimensional transient heat and mass transfer problems. Exact solutions are obtained for infinite rectangular bars, short cylinders, rectangular prisms, and spherical geometries. Instantaneous temperature and moisture content at any location in the objects are obtained and temperature and moisture content at the f
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Zubov, L. M., and L. U. Bogachkova. "The Theory of Torsion of Elastic Noncircular Cylinders Under Large Deformations." Journal of Applied Mechanics 62, no. 2 (1995): 373–79. http://dx.doi.org/10.1115/1.2895941.

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The Saint-Venant semi-inverse method generalization for the problem of torsion under large deformations is presented. The case where a prism cross-section possesses central symmetry is regarded. The torsion problem is reduced to a two-dimensional nonlinear boundary value problem. Differential balance equations and lateral conditions are satisfied by solving the boundary value problem. End conditions are implemented so that the stress system is equivalent to the torsion moment, and to the axial force passing through the cross-section center of inertia. The energy method, used to solve the torsi
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Respati, Sri Mulyo Bondan, Rudy Soenoko, Yudy Surya Irawan, and Wahyono Suprapto. "Effect of Low Temperature Sintering on the Porosity and Microstructure of Porous Zeolite Ceramic." Applied Mechanics and Materials 836 (June 2016): 219–23. http://dx.doi.org/10.4028/www.scientific.net/amm.836.219.

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Manufacturing a porous ceramic specimen from natural zeolite materials mined in Malang, Indonesia was conducted by using a low temperature sintering. In this study, a porous ceramic property with rectangular shaped and prism shaped fillets at each end were sintered at 800-900°C and finally were investigated. Density and porosity measurements were performed using Archimedes method. The microstructure photos were used to measure the neck diameter and the contact angle between the two grains particles and two-dimensional porosity. The result of the zeolite ceramic measurement shows that the highe
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Leppin, Michael. "Electromagnetic modeling of 3-D sources over 2-D inhomogeneities in the time domain." GEOPHYSICS 57, no. 8 (1992): 994–1003. http://dx.doi.org/10.1190/1.1443325.

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A numerical method is presented by which the transient electromagnetic response of a two‐dimensional (2-D) conductor, embedded in a conductive host rock and excited by a rectangular current loop, can be modeled. This 2.5-D modeling problem has been formulated in the time domain in terms of a vector diffusion equation for the scattered magnetic induction, which is Fourier transformed into the spatial wavenumber domain in the strike direction of the conductor. To confine the region of solution of the diffusion equation to the conductive earth, boundary values for the components of the magnetic i
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Conference papers on the topic "Two-dimensional rectangular prism"

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Sequeira, Dane, and Brian P. Mann. "Static Stability Analysis of a Floating Rectangular Prism." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59766.

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This paper examines the static stability of a floating rectangular prism. A nonlinear model is developed to determine the stability of the upright and tilted equilibria positions as a function of the vertical location of the prism’s center of mass. These equilibria positions are defined by an angle of rotation and a vertical position where rotational motion is restricted to a two dimensional plane. Numerical investigations are conducted using path following continuation methods to determine equilibria solutions and evaluate stability. Bifurcation diagrams are generated that illustrate the stab
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Matsuda, Kazutoshi, Kusuo Kato, Keigo Hisadomi, and Kentaro Harada. "Low Speed Instability of Two-Dimensional Rectangular Prisms." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97353.

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A wind tunnel study was carried out to examine the low speed instability of rectangular cross sections, which could occur at a lower wind speed range than that of Karman vortex-induced oscillation, if the Scruton number Sc = 2mδ/(ρD2), in which m = the mass of the system per length; δ = the system damping measured in still air; ρ = air density; D = is a reference length, is very small. The low speed instability was found by the full-scale measurements at bracing members having a rectangular cross section of the long-spanned truss bridge in Japan. The Scruton number of the bracing members was e
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Amare, Rohan, Amir A. Bahadori, and Steven Eckels. "Modeling Heat Regulation With a Structured Mesh, Finite Volume Approach in a Voxelized Domain." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-88036.

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Modeling human thermal behavior is important for applications involving medical device design, non-ionizing radiation dosimetry, and human comfort. Most thermal models use the finite element method (FEM) to represent the complicated domain structure. With the FEM, challenges in mesh and equation derivation limit rapid implementation. Finite difference (FDM) and finite volume (FVM) methods are alternatives to the FEM but have their own limitations. The FDM faces challenges in discontinuous domains at the boundaries. The FVM provides a possible solution to problems faced with FDM and FEM use. In
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