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Journal articles on the topic 'Ellipsoidal analysis'

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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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11

Vidal, Jérémie, and David Cébron. "Inviscid instabilities in rotating ellipsoids on eccentric Kepler orbits." Journal of Fluid Mechanics 833 (November 6, 2017): 469–511. http://dx.doi.org/10.1017/jfm.2017.689.

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We consider the hydrodynamic stability of homogeneous, incompressible and rotating ellipsoidal fluid masses. The latter are the simplest models of fluid celestial bodies with internal rotation and subjected to tidal forces. The classical problem is the stability of Roche–Riemann ellipsoids moving on circular Kepler orbits. However, previous stability studies have to be reassessed. Indeed, they only consider global perturbations of large wavelength or local perturbations of short wavelength. Moreover many planets and stars undergo orbital motions on eccentric Kepler orbits, implying time-depend
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12

Chevillard, Laurent, and Charles Meneveau. "Orientation dynamics of small, triaxial–ellipsoidal particles in isotropic turbulence." Journal of Fluid Mechanics 737 (November 27, 2013): 571–96. http://dx.doi.org/10.1017/jfm.2013.580.

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AbstractThe orientation dynamics of small anisotropic tracer particles in turbulent flows is studied using direct numerical simulation (DNS) and results are compared with Lagrangian stochastic models. Generalizing earlier analysis for axisymmetric ellipsoidal particles (Parsa et al., Phys. Rev. Lett., vol. 109, 2012, 134501), we measure the orientation statistics and rotation rates of general, triaxial–ellipsoidal tracer particles using Lagrangian tracking in DNS of isotropic turbulence. Triaxial ellipsoids that are very long in one direction, very thin in another and of intermediate size in t
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13

Gao, Jun Shan, Jin Wang, and Ke Wang. "Analysis of Defect Magnetic Flux Leakage Field Based on Dipole." Applied Mechanics and Materials 274 (January 2013): 592–95. http://dx.doi.org/10.4028/www.scientific.net/amm.274.592.

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This paper makes an exhaustive analysis to common defect magnetic leakage field based on dipole theory, obtaining the analytical expression of some common injury shapes and exploiting distribution curves of the magnetic field intensity by MATLAB software, and based on this a new scheme is proposed to simulate various injuries using an ellipsoid tables defect model, and finally confirms the superiority of ellipsoidal model in analysis of defect leakage field by comparison.
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14

Kurzhanski, A. B., and A. I. Mesyats. "Optimal control of ellipsoidal motions." Differential Equations 48, no. 11 (2012): 1502–9. http://dx.doi.org/10.1134/s0012266112110080.

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15

Krivoshapko, S. N. "Research on General and Axisymmetric Ellipsoidal Shells Used as Domes, Pressure Vessels, and Tanks." Applied Mechanics Reviews 60, no. 6 (2007): 336–55. http://dx.doi.org/10.1115/1.2806278.

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The principal advances in the design and construction, as well as the static, vibrational, and buckling analysis of thin-walled structures and buildings in the shape of general and axisymmetric ellipsoidal shells are summarized in this review. These shells are particularly useful as internally pressurized vessels or as heads and bottoms of cylindrical tanks and vessels. Reinforced concrete and structural steel domes of buildings, air-supported rubber-fabric shells, and underwater pressure vessels are also made in the form of ellipsoidal, shells. Knowing the geometry of ellipsoids, one can solv
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16

Poluektov, Serhii, Natalia Bezugla, Kinga Kurowska-Wilczyńska, and Mikhail Bezuglyi. "INFORMATION SYSTEM FOR MULTI-VECTOR RAYTRACING IN ELLIPSOIDAL REFLECTORS." Bulletin of Kyiv Polytechnic Institute. Series Instrument Making, no. 65(1) (June 30, 2023): 19–28. http://dx.doi.org/10.20535/1970.65(1).2023.283215.

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Due to two focuses, ellipsoidal reflectors are unique reflective optical elements that allow conjugate imaging in two focal planes within their inner cavity. Such reflectors are used in various devices, such as lens telescopes, to achieve high resolution. They have found applications in microscope optical systems to increase the depth of field. They are used in scientific instruments, such as laser systems, to ensure the laser beam's high accuracy and stability. Despite their advantages, the non-spherical shape of ellipsoidal reflectors also introduces drawbacks in the form of errors arising f
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17

Liu, Ling, and Jianqiao Li. "Dynamic Deformation and Perforation of Ellipsoidal Thin Shell Impacted by Flat-Nose Projectile." Materials 15, no. 12 (2022): 4124. http://dx.doi.org/10.3390/ma15124124.

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Experimental and theoretical studies were carried out on the dynamic deformation and penetration response characteristics of metal ellipsoidal thin curved shells under impact loads. The deformation characteristics of the impacted ellipsoid shell was investigated via the use of a light gas gun to carry out impact loading experiments at different speeds. Ten cases of experiments were conducted with the impact velocities distributed between 25.69 m/s and 118.97 m/s. Stereo digital image correlation (3D-DIC) technology was applied to capture the dynamic deformation and penetration process of the i
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18

Grimes, David Robert, and Frederick J. Currell. "Oxygen diffusion in ellipsoidal tumour spheroids." Journal of The Royal Society Interface 15, no. 145 (2018): 20180256. http://dx.doi.org/10.1098/rsif.2018.0256.

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Oxygen plays a central role in cellular metabolism, in both healthy and tumour tissue. The presence and concentration of molecular oxygen in tumours has a substantial effect on both radiotherapy response and tumour evolution, and as a result the oxygen micro-environment is an area of intense research interest. Multi-cellular tumour spheroids closely mimic real avascular tumours, and in particular they exhibit physiologically relevant heterogeneous oxygen distribution. This property has made them a vital part of in vitro experimentation. For ideal spheroids, their heterogeneous oxygen distribut
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19

Yeh, Chun Lang. "Chemical Reaction and Fluid Flow in a Carbon Monoxide Boiler(II) Chemical Reaction Analysis." Advanced Materials Research 581-582 (October 2012): 19–26. http://dx.doi.org/10.4028/www.scientific.net/amr.581-582.19.

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Performance of a CO boiler has a detrimental influence on the operation and production of related industries. In this paper, the reacting flow in a Carbon Monoxide boiler is investigated. The influence of insertion of an ellipsoidal cone is discussed. It is found that insertion of an ellipsoidal cone can lower the temperature in the DeNOx section. There is a larger skin friction coefficient with a larger ellipsoidal cone angle. It is also found that NOx formation in the DeNOx section can be alleviated by insertion of an ellipsoidal cone.
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20

Ma, Hai Bo, Quan Yuan, Yan Qiu Zhu, and Xin Ye. "The Nonlinear Analysis of the Biopresthetic Heart Valve." Applied Mechanics and Materials 71-78 (July 2011): 3438–42. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.3438.

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In order to improve long-term durability of bioprosthetic heart valve, we take the spherical,paraboloidal,cylindrical and the ellipsoidal leaflets for nonlinear analysis and the material is orthotropic.The experimental results of the finite element nonlinear analysis show that when the leaflets with the material orthotropic is closed,the deformation of the symmetric edge is larger than else. The stress distribution of the cylindrical, spherical, paraboloidal and ellipsoidal valve leaflets is quite different. The ellipsoidal valve leaflets have more advantages than the cylindrical, spherical, p
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21

Chernousko, F. L. "Ellipsoidal state estimation for dynamical systems." Nonlinear Analysis: Theory, Methods & Applications 63, no. 5-7 (2005): 872–79. http://dx.doi.org/10.1016/j.na.2005.01.009.

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22

Dassios, George, Foteini Kariotou, and Panayiotis Vafeas. "Invariant vector harmonics. The ellipsoidal case." Journal of Mathematical Analysis and Applications 405, no. 2 (2013): 652–60. http://dx.doi.org/10.1016/j.jmaa.2013.03.015.

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23

Yuan, Quan, Xin Ye, Hai Bo Ma, Hua Cong, and Xu Huang. "Nonlinear Analysis of Bioprosthetic Heart Valves under Dynamic Loading." Applied Mechanics and Materials 152-154 (January 2012): 732–36. http://dx.doi.org/10.4028/www.scientific.net/amm.152-154.732.

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In order to investigate the effect of material nonlinearity on the dynamic behavior of bioprosthetic heart valve, we establish the spherical, cylindrical and ellipsoidal leaflets models with the material model of Mooney-Rivlin. The mechanical behavior of bioprosthetic valve leaflet during diastolic phase is analyzed. The finite element analysis results show that the stress distributions of the ellipsoidal and spherical valve leaflets are comparatively reasonable. The ellipsoidal and spherical valve leaflets have the following advantages over the cylindrical leaflet valve, lower peak von-Mises
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24

Duan, Chenyang, Shijie Zhang, Yafei Zhao, and Xianren Kong. "Robust Control Allocation among Overactuated Spacecraft Thrusters under Ellipsoidal Uncertainty." Abstract and Applied Analysis 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/950127.

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Spacecrafts with overactuated and redundant thrusters can work normally once some of them are out of work, which improves the reliability of spacecraft in orbit. In this way, the desired command of controller needs to be dynamically allocated among thrusters. Considering that uncertain factors may appear in forms of dynamics, installation errors, thrust deviations, or failures, this paper proposes a robust control allocation under ellipsoidal uncertainty. This method uses the uncertainty ellipsoid set to describe the uncertainty of the thrusters firstly and establish the thrust allocation robu
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25

FUJIWARA, Masaya, Tetsurou HIRANO, Yusuke FURUSE, and Masato ISHIKAWA. "Dynamic motion analysis of ellipsoidal rolling robot." Proceedings of JSME annual Conference on Robotics and Mechatronics (Robomec) 2016 (2016): 2P1–06b1. http://dx.doi.org/10.1299/jsmermd.2016.2p1-06b1.

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26

Kurzhanski, A. B., and P. Varaiya. "Ellipsoidal techniques for reachability analysis: internal approximation." Systems & Control Letters 41, no. 3 (2000): 201–11. http://dx.doi.org/10.1016/s0167-6911(00)00059-1.

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27

Carvalho, J. A., and D. Bastos-Netto. "Weight Analysis of Thin-Walled Ellipsoidal Shells." Journal of Pressure Vessel Technology 112, no. 2 (1990): 187–89. http://dx.doi.org/10.1115/1.2928608.

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28

Braatz, Richard D., and Oscar D. Crisalle. "Robustness analysis for systems with ellipsoidal uncertainty." International Journal of Robust and Nonlinear Control 8, no. 13 (1998): 1113–17. http://dx.doi.org/10.1002/(sici)1099-1239(1998110)8:13<1113::aid-rnc375>3.0.co;2-b.

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29

FEDORCHUK, A. "Analysis of erypsoidal heights errors based on GNSS-leveling results." Modern achievements of geodesic science and industry 41, no. I (2021): 37–45. http://dx.doi.org/10.33841/1819-1339-1-41-37-45.

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Research the influence of errors on the measurement results is always an urgent task. Analysis of such values makes it possible to assess the nature of the change and the magnitude of the impact of errors for their further consideration or compensation, or minimization. In this paper, the errors in determining ellipsoidal heights from GNSS observations are considered. In determining the ellipsoidal heights, this method can achieve an accuracy of 1–2 cm in static mode (Static) and 2–4 cm in real time mode (RTK). Thus, the accuracy of the chosen mode of observations will indicate the initial lim
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30

Zuccaro, G., I. Elishakoff, and A. Baratta. "Antioptimization of earthquake exitation and response." Mathematical Problems in Engineering 4, no. 1 (1998): 1–19. http://dx.doi.org/10.1155/s1024123x98000696.

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The paper presents a novel approach to predict the response of earthquake-excited structures. The earthquake excitation is expanded in terms of series of deterministic functions. The coefficients of the series are represented as a point inN-dimensional space. Each available ccelerogram at a certain site is then represented as a point in the above space, modeling the available fragmentary historical data. The minimum volume ellipsoid, containing all points, is constructed. The ellipsoidal models of uncertainty, pertinent to earthquake excitation, are developed. The maximum response of a structu
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31

Ye, Xin, Quan Yuan, Hua Cong, Hai Bo Ma, and Dong Liang Wei. "Dynamic Analysis of Three Types of Bioprosthetic Heart Valves." Applied Mechanics and Materials 71-78 (July 2011): 2683–88. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.2683.

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This paper constructs three types of bioprosthetic valve leaflets’ parametric model via computer aided design, a series of accurate parameters of the bioproshtetic heart valve, such as radius of the sutural ring, height of the supporting stent and inclination of the supporting stent, are determined. Numerical simulation is used to determine the effect of different shape designs on the mechanical performance of the bioprosthetic valve leaflet. The dynamic behavior of the valve during diastolic phase is analyzed. The finite element analysis results show the stress distribution of the ellipsoidal
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32

Khavinson, Dmitry, Erik Lundberg, and Hermann Render. "Dirichlet’s Problem with Entire Data Posed on an Ellipsoidal Cylinder." Potential Analysis 46, no. 1 (2016): 55–62. http://dx.doi.org/10.1007/s11118-016-9568-8.

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33

Bang, Jeaheang, and Seok-Bae Yun. "Stationary solutions for the ellipsoidal BGK model in a slab." Journal of Differential Equations 261, no. 10 (2016): 5803–28. http://dx.doi.org/10.1016/j.jde.2016.08.022.

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34

Park, Sa Jun, and Seok-Bae Yun. "Cauchy problem for the ellipsoidal BGK model for polyatomic particles." Journal of Differential Equations 266, no. 11 (2019): 7678–708. http://dx.doi.org/10.1016/j.jde.2018.12.013.

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35

Jacobsen, Petra A., Devra Becker, Daniel P. Govier, Steven G. Krantz, and Alex Kane. "Ellipsoid Analysis of Calvarial Shape." Cleft Palate-Craniofacial Journal 46, no. 5 (2009): 487–93. http://dx.doi.org/10.1597/06-194.1.

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Purpose: The purpose of this research was to develop a novel quantitative method of describing calvarial shape by using ellipsoid geometry. The pilot application of Ellipsoid Analysis was to compare calvarial form among individuals with untreated unilateral coronal synostosis, metopic synostosis, and sagittal synostosis and normal subjects. Methods: The frontal, parietal, and occipital bones of 10 preoperative patients for each of the four study groups were bilaterally segmented into six regions using three-dimensional skull reconstructions generated by ANALYZE™ imaging software from high-reso
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36

Lee, Doo-Sung. "Flow around a Triaxial Ellipsoid in a Long Circular Tube." Zeitschrift für Naturforschung A 66, no. 8-9 (2011): 481–88. http://dx.doi.org/10.5560/zna.2011-0011.

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Abstract This paper deals with the three-dimensional analysis of viscous fluid flow in a long circular cylinder containing an ellipsoidal obstacle. The center of the ellipsoid coincides with that of the cylinder, and the flow is confined to the space between the ellipsoid and the cylinder when the fluid velocity at the large distance from the ellipsoid is uniform. The equations of the classical theory of fluid dynamics are solved in terms of an unknown function which is then shown to be the solution of a boundary integro-differential equation. A numerical solution of the integro-differential e
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37

Erbil, H. Y., G. McHale, S. M. Rowan, and M. I. Newton. "Analysis of evaporating droplets using ellipsoidal cap geometry." Journal of Adhesion Science and Technology 13, no. 12 (1999): 1375–91. http://dx.doi.org/10.1163/156856199x00532.

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38

Wang, Defeng, Lin Shi, Daniel S. Yeung, Eric C. C. Tsang, and Pheng Ann Heng. "Ellipsoidal support vector clustering for functional MRI analysis." Pattern Recognition 40, no. 10 (2007): 2685–95. http://dx.doi.org/10.1016/j.patcog.2007.01.017.

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39

Chao, Y. J., and M. A. Sutton. "Stress analysis of ellipsoidal shell with radial nozzle." International Journal of Pressure Vessels and Piping 21, no. 2 (1985): 89–108. http://dx.doi.org/10.1016/0308-0161(85)90042-0.

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40

Seeger, Alberto, and Mounir Torki. "Inscribed and circumscribed ellipsoidal cones: volume ratio analysis." Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 59, no. 4 (2018): 717–37. http://dx.doi.org/10.1007/s13366-018-0387-5.

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41

Uddin, Md Wahhaj. "Large deformation analysis of ellipsoidal head pressure vessels." Computers & Structures 23, no. 4 (1986): 487–95. http://dx.doi.org/10.1016/0045-7949(86)90092-1.

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42

Zhang, Feng, Kailiang Luo, Weihao Zhai, Shiwang Tan, and Yameng Wang. "Non-probabilistic parameter sensitivity analysis for structures based on ellipsoidal model." Advances in Mechanical Engineering 10, no. 8 (2018): 168781401878236. http://dx.doi.org/10.1177/1687814018782362.

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Sensitivity analysis plays a crucial role in identifying the structure important parameters. In this article, a new non-probabilistic parameter sensitivity analysis method is proposed according to the ellipsoidal model. Meanwhile, an analytical solution of non-probabilistic parameter sensitivity analysis method based on the ellipsoidal model is derived for linear performance function, as well as an approximately analytical solution is obtained for nonlinear performance function using the first-order Taylor expansion to linearize the functions in design point. Finally, the proposed method is il
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43

Skopinsky, V. N., and N. A. Berkov. "Stress Analysis of Ellipsoidal Shell With Nozzle Under Internal Pressure Loading." Journal of Pressure Vessel Technology 116, no. 4 (1994): 431–36. http://dx.doi.org/10.1115/1.2929612.

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This paper presents the numerical procedure for the stress analysis of the intersecting shells consisting of an ellipsoidal shell and nozzle. Thin shell theory and finite element method are used. The developed special-purpose computer program SAIS is employed for elastic stress analysis of the model joints of the ellipsoidal shell with nozzle. The parametric study of the joints under internal pressure loading was performed. The results are presented in graphical form. Nondimensional geometric parameters are considered to analyze the effects of changing these parameters on the maximum effective
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44

David Mayunga, Selassie. "Determination and Analysis of Height Differences between Orthometric and Ellipsoidal Heights for Engineering Applications." International Journal of Science and Research (IJSR) 12, no. 8 (2023): 1653–61. http://dx.doi.org/10.21275/sr23815133647.

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45

Yang, Yu-chuan, Hui-ge Xing, Xing-guo Yang, and Jia-wen Zhou. "Determining the Critical Slip Surface of Three-Dimensional Soil Slopes from the Stress Fields Solved Using the Finite Element Method." Mathematical Problems in Engineering 2016 (2016): 1–11. http://dx.doi.org/10.1155/2016/7895615.

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The slope stability problem is an important issue for the safety of human beings and structures. The stability analysis of the three-dimensional (3D) slope is essential to prevent landslides, but the most important and difficult problem is how to determine the 3D critical slip surface with the minimum factor of safety in earth slopes. Basing on the slope stress field with the finite element method, a stability analysis method is proposed to determine the critical slip surface and the corresponding safety factor of 3D soil slopes. Spherical and ellipsoidal slip surfaces are considered through t
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46

Yuan, Quan, Hai Bo Ma, Tian Qi Liu, Hai Yan Zhu, and Cheng Rui Zhang. "Stress Analysis of the Biopresthetic Heart Valve with Different Thickness." Advanced Materials Research 466-467 (February 2012): 1256–60. http://dx.doi.org/10.4028/www.scientific.net/amr.466-467.1256.

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The stress with different shapes under the same load is analysed and the thickness of the leaflets 0.2mm and 0.4mm is compared by us. We creat the spherical, paraboloidal and ellipsoidal curved surfaces in accordance with geometrical features. The experimental results of the finite element analysis show that stress distribution of the same bioprosthetic heart valve leaflets with different thickness is different. The maximal primary stress with the thickness of 0.4mm is lower than the others.With the same thickness,the stress of the ellipsoidal valve leaflets is lower. This work is very helpful
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47

Friess, Fabian, Christian Wischke та Andreas Lendlein. "Microscopic analysis of shape-shiftable oligo(ε-caprolactone) - based particles". MRS Advances 4, № 59-60 (2019): 3199–206. http://dx.doi.org/10.1557/adv.2019.392.

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ABSTRACTSpherical particles are routinely monitored and described by hydrodynamic diameters determined, e.g., by light scattering techniques. Non-spherical particles such as prolate ellipsoids require alternative techniques to characterize particle size as well as particle shape. In this study, oligo(ε-caprolactone) (oCL) based micronetwork (MN) particles with a shape-shifting function based on their shape-memory capability were programmed from spherical to prolate ellipsoidal shape aided by incorporation and stretching in a water-soluble phantom matrix. By applying light microscopy with autom
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48

Li, Ting, Ning Mao, Haoyu Fu, Yuxin Zhang, and Li Fan. "Five New Species of the Genus Hymenogaster (Hymenogastraceae, Agaricales) from Northern China." Journal of Fungi 10, no. 4 (2024): 272. http://dx.doi.org/10.3390/jof10040272.

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In this study, five new species from China, Hymenogaster latisporus, H. minisporus, H. papilliformis, H. perisporius, and H. variabilis, are described and illustrated based on morphological and molecular evidence. Hymenogaster latisporus was distinguished from other species of the genus by the subglobose, broad ellipsoidal, ovoid basidiospores (average = 13.7 μm × 11.6 μm) with sparse verrucose and ridge-like ornamentation (1–1.2 μm high); H. minisporus by the ellipsoidal to broadly ellipsoidal and small basidiospores (average = 11.7 μm × 9.5 μm); H. papilliformis was characterized by the whit
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49

Zhang, De Yuan, Li Ming Yuan, Yong Gang Xu, and Jun Cai. "A Three-Dimensional Numerical Analysis on the Effective Permittivity of Composites Including Ellipsoids." Applied Mechanics and Materials 483 (December 2013): 23–27. http://dx.doi.org/10.4028/www.scientific.net/amm.483.23.

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To investigate the effective permittivity of composites composed of ellipsoidal inclusions, three-dimension numerical models for ellipsoidal inclusions distributed randomly are built with the finite-element modeling software Comsol Multiphysics. After calculating the effective permittivity for different cases and comparing the results with analytical results from the Maxwell-Garnett mixing rule, we find that the finite-element method has an advantage in detecting details of the interaction among inclusions, which have some impacts on the effective permittivity and could not be accurately taken
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Luo, Zheng Zhi, Jing Zeng, and Jin Peng Yu. "Influences of Blank Holding Force on Stamping of Large Ellipsoidal Heads Based on Simulation." Applied Mechanics and Materials 217-219 (November 2012): 2097–100. http://dx.doi.org/10.4028/www.scientific.net/amm.217-219.2097.

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Ellipsoidal heads is a important composition of railways tank car. Sheet stamping process is a common method used for manufacturing ellipsoidal heads. An accurate and efficient finite element model was developed for analysis and prediction of ellipsoidal heads forming quality, with different degrees of reduction deformation at different binder forces considered, and self-adaptive mesh were adopted to improve computational efficiency and quality. And the results of simulation was validated by experimental results. Based on this finite element model, the distributions of stress, strain and wall
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