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Relevant bibliographies by topics / Ellipsoidal analysis

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Journal articles

Academic literature on the topic 'Ellipsoidal analysis'

Author: Grafiati

Published: 25 May 2024

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Journal articles on the topic "Ellipsoidal analysis"

1

Møller, J. "Stereological analysis of particles of varying ellipsoidal shape." Journal of Applied Probability 25, no. 2 (1988): 322–35. http://dx.doi.org/10.2307/3214440.

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Stereological analysis of d-dimensional particles of ellipsoidal shape based on lower-dimensional sections through the particles is discussed. It is proved that the non-void intersections between three parallel hyperplanes and an ellipsoid uniquely determine the ellipsoid, and based on this fact we may reconstruct ellipsoids from sectional information. Combining this reconstruction with a new sampling procedure we obtain a useful tool for non-parametric stereological analysis of particle aggregates of ellipsoids. Finally, parametric models for ellipsoids which are mathematically convenient for

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2

Møller, J. "Stereological analysis of particles of varying ellipsoidal shape." Journal of Applied Probability 25, no. 02 (1988): 322–35. http://dx.doi.org/10.1017/s0021900200040961.

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Stereological analysis of d-dimensional particles of ellipsoidal shape based on lower-dimensional sections through the particles is discussed. It is proved that the non-void intersections between three parallel hyperplanes and an ellipsoid uniquely determine the ellipsoid, and based on this fact we may reconstruct ellipsoids from sectional information. Combining this reconstruction with a new sampling procedure we obtain a useful tool for non-parametric stereological analysis of particle aggregates of ellipsoids. Finally, parametric models for ellipsoids which are mathematically convenient for

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3

Giapalaki, S. N., and F. Kariotou. "The complete ellipsoidal shell-model in EEG imaging." Abstract and Applied Analysis 2006 (2006): 1–18. http://dx.doi.org/10.1155/aaa/2006/57429.

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This work provides the solution of the direct Electroencephalography (EEG) problem for the complete ellipsoidal shell-model of the human head. The model involves four confocal ellipsoids that represent the successive interfaces between the brain tissue, the cerebrospinal fluid, the skull, and the skin characterized by different conductivities. The electric excitation of the brain is due to an equivalent electric dipole, which is located within the inner ellipsoid. The proposed model is considered to be physically complete, since the effect of the substance surrounding the brain is taken into a

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4

Ross, C. T. F., and N. Rotherhamn. "Collapse of Inverted Hemi-Ellipsoidal Shell Domes Under Uniform Pressure." Journal of Ship Research 36, no. 04 (1992): 378–86. http://dx.doi.org/10.5957/jsr.1992.36.4.378.

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Nine hemi-ellipsoidal shell domes were tested to destruction, under uniform pressure acting on their concave surfaces. The shell domes varied from flat oblate hemi-ellipsoids to long prolate hemi-ellipsoids. The experimentally obtained collapse pressures showed that the flat oblate hemi-ellipsoidal domes and the long prolate hemi-ellipsoidal domes were stronger than the hemi-spherical and near hemi-spherical domes. The theoretical analysis was based on the finite-element method, and it showed that the theoretically obtained stresses were, in general, larger in magnitude than the experimentally

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5

Gureeva, Natalya, Anatoliy Nikolaev, and Mikhail Klochkov. "Continuos Parameterization of the Median Surface of an Ellipsoidal Shell and Its Geometric Parameters." Mathematical Physics and Computer Simulation, no. 1 (March 2020): 5–12. http://dx.doi.org/10.15688/mpcm.jvolsu.2020.1.1.

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When analyzing the stress-strain state of thin-walled structural elements that have the shape of an ellipsoid, it becomes necessary to calculate the geometric characteristics of the ellipsoidal surface. When using the canonical ellipsoid equation, regions of uncertainty appear in the Cartesian coordinate system at the intersection points of the ellipsoid surface with the horizontal coordinate plane. To exclude these areas of uncertainty, we propose an expression of the radius vector of an ellipsoidal surface whose projections are functions of two parametric representations in mutually perpendi

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6

Chong, Shuai, Lili Huang, Junchao Cao, and Xiaoyang Lu. "The optimization design of the triangular mesh of the lamella ellipsoid reticulated shell and the comparative analysis of its static performance." E3S Web of Conferences 165 (2020): 06054. http://dx.doi.org/10.1051/e3sconf/202016506054.

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Using the traditional geometric principle and ANSYS software Parametric Design Language (APDL), the optimization method is given for the triangular shell mesh of lamella ellipsoid. The mechanical properties of two types of ellipsoidal reticulated shells, optimized isosceles shell (OIS) and traditional shell (TS), are analyzed by comparison with ANSYS software. The results show that the ellipsoidal reticulated shell composed of an optimized isosceles triangle mesh has better mechanical performance and is widely used in engineering.

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7

Ziggah, Y. Y., I. Yakubu, and B. Kumi-Boateng. "Analysis of Methods for Ellipsoidal Height Estimation – The Case of a Local Geodetic Reference Network." Ghana Mining Journal 16, no. 2 (2016): 1–9. http://dx.doi.org/10.4314/gm.v16i2.1.

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Ghana’s local geodetic reference network is based on the War Office 1926 ellipsoid with data in latitude, longitude and orthometric height without the existence of ellipsoidal height. This situation makes it difficult to apply the standard forward transformation equation for direct conversion of curvilinear geodetic coordinates to its associated cartesian coordinates (X, Y, Z) in the Ghana local geodetic reference network. In order to overcome such a challenge, researchers resort to various techniques to obtain the ellipsoidal height for a local geodetic network. Therefore, this paper evaluate

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8

Phan-Thien, N., T. Tran-Cong, and M. Ramia. "A boundary-element analysis of flagellar propulsion." Journal of Fluid Mechanics 184 (November 1987): 533–49. http://dx.doi.org/10.1017/s0022112087003008.

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The swimming of a flagellar micro-organism by the propagation of helical waves along its flagellum is analysed by a boundary-element method. The method is not restricted to any particular geometry of the organism nor does it assume a specific wave motion for the flagellum. However, only results for an organism with a spherical or ellipsoidal cell body and a helically beating flagellum are presented here.With regard to the flagellum, it is concluded that the optimum helical wave (amplitude α and wavenumber k) has αk ≈ 1 (pitch angle of 45°) and that for the optimum flagellar length L/A = 10 (L

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9

Kariotou, Fotini. "Electroencephalography in ellipsoidal geometry." Journal of Mathematical Analysis and Applications 290, no. 1 (2004): 324–42. http://dx.doi.org/10.1016/j.jmaa.2003.09.066.

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10

Lu, Xiao Yang, Jing Xin, Ran An, Jin Ming Liu, Lei Wang, and Feng Cheng Liu. "Ellipsoid Reticulated Shell of Parametric Design and Analysis of Mechanical Characteristics." Applied Mechanics and Materials 716-717 (December 2014): 682–85. http://dx.doi.org/10.4028/www.scientific.net/amm.716-717.682.

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By using the parametric design language APDL, developed ellipsoidal reticulated shell parametric macros, only enter the long axis S1, short axis S2, high vector F, scale factor t, ring symmetric region shares Kn, radial nodes turns Nx, to generate the desired lattice shell; comparative analysis of 30 kinds of scheme through two types of single-shell ellipsoid reticulated shell with different rise span ratio force, studied its stress characteristics, providing a theoretical reference for designing and engineering ellipsoid reticulated shell application.

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