Relevant bibliographies by topics / Ellipsoids of revolution

Academic literature on the topic 'Ellipsoids of revolution'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Contents

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Ellipsoids of revolution.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Ellipsoids of revolution"

1

Rigby, Maurice. "Hard ellipsoids of revolution." Molecular Physics 66, no. 6 (April 20, 1989): 1261–68. http://dx.doi.org/10.1080/00268978900100851.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Vyshnepolsky, V. I., N. S. Kadykova, and D. S. Peh. "Geometric modeling and study of properties of surfaces equidistant to two spheres." Journal of Physics: Conference Series 2182, no. 1 (March 1, 2022): 012013. http://dx.doi.org/10.1088/1742-6596/2182/1/012013.

Full text
Abstract:
Abstract The paper considers the geometric locus of points equidistant to two spheres of different diameters. If these spheres are concentric, the sought multitude constitutes a single surface – a sphere of diameter equal to arithmetic mean of the diameters of the given spheres. In other cases the geometric locus of points equidistant to two spheres of different diameters constitutes two surfaces. In case the spheres intersect, are tangent or distant to each other, the first of these surfaces is a two-sheet hyperboloid of revolution that degenerates into a plane in case the spheres are equal. In case the spheres intersect, the second of the surfaces is an ellipsoid of revolution that degenerates into a straight line if the spheres are tangent to each other. In the case of distant spheres, the second of the surfaces is a two-sheet hyperboloid of revolution. In case the spheres contain one another, the sough geometric locus constitutes two co-axial co-focused ellipsoids of revolution. The equations defining the mentioned surfaces are presented. The regularities in shape and location of these surfaces were studied; the formulas for the major and the minor axes of the ellipsoids and the vertices of the two-sheet hyperboloids of revolution were derived.
APA, Harvard, Vancouver, ISO, and other styles
3

Frenkel, Daan, Bela M. Mulder, and John P. Mctague. "Phase Diagram of Hard Ellipsoids of Revolution." Molecular Crystals and Liquid Crystals 123, no. 1 (February 1985): 119–28. http://dx.doi.org/10.1080/00268948508074770.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Müller, J. J., and H. Schrauber. "The inertia-equivalent ellipsoid: a link between atomic structure and low-resolution models of small globular proteins determined by small-angle X-ray scattering." Journal of Applied Crystallography 25, no. 2 (April 1, 1992): 181–91. http://dx.doi.org/10.1107/s0021889891011421.

Full text
Abstract:
Low-resolution three-parameter models of the shape of a biopolymer in solution can be determined by a new indirect method from small-angle X-ray scattering without contrast-variation experiments. The basic low-resolution model employed is a triaxial ellipsoid – the inertia-equivalent ellipsoid (IEE). The IEE is related to the tensor of inertia of a body and the eigenvalues and eigenvectors of this tensor can be calculated directly from the atomic coordinates and from the homogeneous solvent-excluded body of a molecule. The IEE defines a mean molecular surface (like the sea level on earth) which models the molecular shape adequately if the IEE volume is not more than 30% larger than the dry volume of the molecule. Approximately 10 to 15% of the solvent-excluded volume is outside the ellipsoid; the radii of gyration of the IEE and of the homogeneous molecular body are identical. The largest diameter of the IEE is about 5 to 15% (~0.2–0.8 nm) smaller than the maximum dimension of globular molecules with molecular masses smaller than 65000 daltons. From the scattering curve of a molecule in solution the IEE can be determined by a calibration procedure. 29 proteins of known crystal structure have been used as a random sample. Systematic differences between the axes of the IEE, calculated directly from the structure, and the axes of the scattering-equivalent ellipsoids of revolution, estimated from the scattering curve of the molecule in solution, are used to derive correction factors for the axial dimensions. Distortions of model dimensions of 20 to 40% (up to 1 nm), caused by misinterpretation of scattering contributions from electron density fluctuations within the molecule, are reduced to a quarter by applying these correction factors to the axes of the scattering-equivalent ellipsoids of revolution. In a computer experiment the axes of the inertia-equivalent ellipsoids have been determined for a further nine proteins with the same accuracy. The automated estimation of the IEE from the scattering curve of a molecule in solution is realized by the Fortran77 program AUTOIEE.
APA, Harvard, Vancouver, ISO, and other styles
5

Vyshnyepolskiy, Vladimir, E. Zavarihina, and D. Peh. "Geometric Locations of Points Equally Distance from Two Given Geometric Figures. Part 4: Geometric Locations of Points Equally Remote from Two Spheres." Geometry & Graphics 9, no. 3 (December 9, 2021): 12–29. http://dx.doi.org/10.12737/2308-4898-2021-9-3-12-29.

Full text
Abstract:
The article deals with the geometric locations of points equidistant from two spheres. In all variants of the mutual position of the spheres, the geometric places of the points are two surfaces. When the centers of the spheres coincide with the locus of points equidistant from the spheres, there will be spheres equal to the half-sum and half-difference of the diameters of the original spheres. In three variants of the relative position of the initial spheres, one of the two surfaces of the geometric places of the points is a two-sheet hyperboloid of revolution. It is obtained when: 1) the spheres intersect, 2) the spheres touch, 3) the outer surfaces of the spheres are removed from each other. In the case of equal spheres, a two-sheeted hyperboloid of revolution degenerates into a two-sheeted plane, more precisely, it is a second-order degenerate surface with a second infinitely distant branch. The spheres intersect - the second locus of the points will be the ellipsoid of revolution. Spheres touch - the second locus of points - an ellipsoid of revolution, degenerated into a straight line, more precisely into a zero-quadric of the second order - a cylindrical surface with zero radius. The outer surfaces of the spheres are distant from each other - the second locus of points will be a two-sheet hyperboloid of revolution. The small sphere is located inside the large one - two coaxial confocal ellipsoids of revolution. In all variants of the mutual position of spheres of the same diameters, the common geometrical place of equidistant points is a plane (degenerate surface of the second order) passing through the middle of the segment perpendicular to it, connecting the centers of the original spheres. The second locus of points equidistant from two spheres of the same diameter can be either an ellipsoid of revolution (if the original spheres intersect), or a straight (cylindrical surface with zero radius) connecting the centers of the original spheres when the original spheres touch each other, or a two-sheet hyperboloid of revolution (if continue to increase the distance between the centers of the original spheres).
APA, Harvard, Vancouver, ISO, and other styles
6

Daghighi, Shahrzad, Mohammad Rouhi, Giovanni Zucco, and Paul M. Weaver. "Bend-free design of ellipsoids of revolution using variable stiffness composites." Composite Structures 233 (February 2020): 111630. http://dx.doi.org/10.1016/j.compstruct.2019.111630.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Daghighi, Shahrzad, Giovanni Zucco, Mohammad Rouhi, and Paul M. Weaver. "Bend-free design of super ellipsoids of revolution composite pressure vessels." Composite Structures 245 (August 2020): 112283. http://dx.doi.org/10.1016/j.compstruct.2020.112283.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Yi, Y. B., and A. M. Sastry. "Analytical approximation of the percolation threshold for overlapping ellipsoids of revolution." Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 460, no. 2048 (August 8, 2004): 2353–80. http://dx.doi.org/10.1098/rspa.2004.1279.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Bautista-Carbajal, Gustavo, Arturo Moncho-Jordá, and Gerardo Odriozola. "Further details on the phase diagram of hard ellipsoids of revolution." Journal of Chemical Physics 138, no. 6 (February 14, 2013): 064501. http://dx.doi.org/10.1063/1.4789957.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Ozerin, A. N., D. I. Svergun, V. V. Volkov, A. I. Kuklin, V. I. Gordelyi, A. Kh Islamov, L. A. Ozerina, and D. S. Zavorotnyuk. "The spatial structure of dendritic macromolecules." Journal of Applied Crystallography 38, no. 6 (November 12, 2005): 996–1003. http://dx.doi.org/10.1107/s0021889805032115.

Full text
Abstract:
A low-resolutionab initioshape determination was performed from small-angle neutron and X-ray scattering (SANS and SAXS) curves from solutions of polycarbosilane dendrimers with the three-functional and the four-functional branching centre of the fourth, fifth, sixth, seventh and eighth generations. In all cases, anisometric dendrimer shapes were obtained. The overall shapes of the dendrimers with the three- and four-functional branching centres were oblate ellipsoids of revolution and triaxial ellipsoids, respectively. The restored bead models revealed a pronounced heterogeneity within the dendrimer structure. The density deficit was observed in the central part and close to the periphery of the dendrimers. The fraction of the overall volume of the dendrimers available for solvent penetration was about 0.2–0.3. These results may help in the design of new practical applications of dendrimer macromolecules.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Ellipsoids of revolution"

1

Somero, John Ryan. "Computational Simulations of a Non-body of Revolution Ellipsoidal Model Utilizing RANS." Thesis, Virginia Tech, 2010. http://hdl.handle.net/10919/36135.

Full text
Abstract:
The ability of Reynolds Averaged Navier Stokes (RANS) models to predict the characteristics of a non-Body of Revolution (non-BOR) Ellipsoidal model is studied to establish the feasibility of utilizing RANS as a non-BOR concept design tool. Data unable to be obtained experimentally, such as streamwise and spanwise pressure gradients and yaw turn boundary layer characteristics, are also established. A range of conditions are studied including ahead, pitched up, steady 10 and 15 degree yaw turns, and unsteady 10 and 15 degree yaw turns. Simulation results show good agreement for ahead and pitched forces and moments. Straight ahead skin friction values also showed good agreement, providing even improved agreement over an LES model which utilized wall functions. Yaw turn conditions also showed good agreement for roll angles up to 10 degrees. Steady maneuvering forces and moments showed good agreement up to 10 degrees roll and separation calculations also showed good agreement up to 10 degrees roll. Unsteady maneuvering characteristics showed mixed results, with the normal force and pitching moment trends generally agreeing with experimental data, whereas the unsteady rolling moment did not tend to follow experimental trends. Two primary conditions, the change in curvature between the mid-body and elliptical ends and the accuracy of modeling of 3D flows with RANS, are discussed as sources of discrepancies between the experimental data and steady simulations greater than 10 degrees roll and unsteady rolling simulations.
Master of Science
APA, Harvard, Vancouver, ISO, and other styles
2

DeMoss, Joshua Andrew. "Drag Measurements on an Ellipsoidal Body." Thesis, Virginia Tech, 2007. http://hdl.handle.net/10919/34908.

Full text
Abstract:
A drag study was conducted on an oblate ellipsoid body in the Virginia Tech Stability Wind Tunnel. Two-dimensional wake surveys were taken with a seven-hole probe and an integral momentum method was applied to the results to calculate the drag on the body. Several different model configurations were tested; these included the model oriented at a 0° and 10° angle of attack with respect to the oncoming flow. For both angles, the model was tested with and without flow trip strips. At the 0° angle of attack orientation, data were taken at a speed of 44 m/s. Data with the model at a 10° angle of attack were taken at 44 m/s and 16 m/s. The high speed flow corresponded to a length-based Reynolds number of about 4.3 million; the low speed flow gave a Reynolds number of about 1.6 million. The results indicated that the length-squared drag coefficients ranged from around 0.0026 for the 0° angle of attack test cases and 0.0035 for the 10° angle of attack test cases. The 10° angle of attack cases had higher drag due to the increase in the frontal profile area of the model and the addition of induced drag. The flow trip strips appeared to have a tiny effect on the drag; a slight increase in drag coefficient was seen by their application but it was not outside of the uncertainty in the calculation. At the lower speed, uncertainties in the calculation were so high that the drag results could not be considered with much confidence, but the drag coefficient did decrease from the higher Reynolds number cases. Uncertainty in the drag calculations derived primarily from spatial fluctuations of the mean velocity and total pressure in the wake profile; uncertainty was estimated to be about 16% or less for the 44 m/s test cases.
Master of Science
APA, Harvard, Vancouver, ISO, and other styles
3

Naidoo, Pranava. "Stresses in egg-shaped sludge digesters in the form of ellipsoidal shells of revolution." Master's thesis, Faculty of Engineering and the Built Environment, 2019. http://hdl.handle.net/11427/30871.

Full text
Abstract:
Anaerobic sludge digesters of the squat cylindrical shape have inherent flaws which drive up maintenance costs, limits its ability to maintain optimum environmental conditions and is not shaped for efficient mixing. The egg-shaped sludge digester is an effective solution to these flaws. However, the analysis of these structures are complex and design guides are not readily available to designers of anaerobic sludge digesters. In previous studies, various shells of revolution were considered as egg-shaped sludge digester geometries. In terms of stress behaviour, these studies found the geometries to be suitable to act as egg-shaped sludge digesters. This thesis extends the list of geometries explored and considers the stress behaviour in an ellipsoid of revolution. First, only the membrane stress distributions were considered by varying a parameter e (the major axis radius over the minor axis radius) of the ellipsoidal shell. To conduct the study, closed form solutions for the meridional and hoop stresses were derived. The stress distributions of the varying ellipsoidal geometries were then compared and analysed. Additionally, the parametric study considered structural efficiency of the shell. Following this, in order to judge the effectiveness of the geometry, it was compared to findings of previous studies on different geometries. The study compared the geometries on the bases of volume, smoothness and maximum hoop stresses. It was found that the ellipsoidal geometry faired extremely well against the other geometries in the volume and maximum hoop stress criteria. Due to the limitations of the membrane theory of shells to predict bending stresses at supports and other discontinuities, a finite element study was conducted to achieve a complete shell stress distribution. Special attention was paid to bending at the support region where large meridional stress peaks occur as well as bending stresses seen at the apexes. Following this, various support conditions were tested to gather a full understanding of how this affects the total stress distribution in the shell. Finally based on findings of the study a design guide for egg-shaped digesters of ellipsoidal geometry was given.
APA, Harvard, Vancouver, ISO, and other styles
4

DeMoss, Joshua Andrew. "Skin Friction and Cross-flow Separation on an Ellipsoidal Body During Constant Yaw Turns and a Pitch-up Maneuver with Roll Oscillation." Diss., Virginia Tech, 2010. http://hdl.handle.net/10919/29063.

Full text
Abstract:
The skin friction and cross-flow separation location on a non-body-of-revolution (non-BOR) ellipsoidal model performing constant-yaw turns and a pitch-up maneuver, each with roll oscillation were studied for the first time. The detailed, low uncertainty, flow topology data provide an extensive experimental database on the flow over non-BOR hull shapes that does not exist anywhere else in the world and serves as a crucial tool for computational validation. The ellipsoidal model was mounted on a roll oscillation machine in the Virginia Tech Stability Wind Tunnel slotted wall test section. Hot-film sensors with constant temperature anemometers provided skin friction magnitudes on the body's surface for thirty-three steady flow model orientations and three unsteady maneuvers at a constant Reynolds number of 2.5 million. Cross-flow separation locations on the model were determined from span-wise minima in the skin friction magnitude for both the steady orientations and unsteady maneuvers. Steady hot-film data were obtained over roll angles between ±25° in 5° increments with the model mounted at 10° and 15° yaw and at 7° pitch with respect to the flow. The roll oscillation machine was used to create a near sinusoidal unsteady roll motion between ±26° at a rate of 3 Hz, which corresponded to a non-dimensional roll period of 5.4. Unsteady data were obtained with the ellipsoidal model mounted at 10° and 15° yaw and at 7° pitch during the rolling maneuver. Cross-flow separation was found to dominate the leeside flow of the model for all orientations. For the yaw cases, the separation location moved progressively more windward and inboard as the flow traveled downstream. Increasing the model roll or yaw angle increased the adverse pressure gradient on the leeward side, creating stronger cross-flow separation that began further upstream and migrated further windward on the model surface. For the pitch flow case, the cross-flow separation remained straight as the flow moved axially downstream. The strongest pitch cross-flow separation was observed at the most negative roll angle and dissipated, moving further downstream and inboard as the modelâ s roll angle was increased. The unsteady flow maneuvers exhibited the same flow topology observed in the quasi-steady conditions. However, the unsteady skin friction and separation locations lagged their quasi-steady counterparts at equivalent roll angles during the oscillation cycle. A first order time lag model and sinusoidal fit to the separation location data quantified the time lags that were observed.
Ph. D.
APA, Harvard, Vancouver, ISO, and other styles
5

Безуглий, Михайло Олександрович. "Еліпсоїдальні рефлектори для фотометрії біологічних середовищ." Thesis, КПІ ім. Ігоря Сікорського, 2020. https://ela.kpi.ua/handle/123456789/31490.

Full text
Abstract:
У роботі вирішено комплекс задач, що дозволило вирішити важливу науково-прикладну проблему розробки методу побудови і застосування еліпсоїдальних рефлекторів в системах реєстрації та аналізу розсіяного оптичного випромінювання, а також апробації нових конструктивних, функціональних та медико-біологічних рішень. Це дало змогу теоретично та експериментально обґрунтувати метод і апаратні засоби застосування еліпсоїдальних рефлекторів для фотометрії світлорозсіяння біологічними середовищами при виявленні їх оптичних властивостей та ідентифікації фізичного та фізіологічного стану. Запропоновано фундаментальну основу вирішення вказаної проблеми завдяки вперше розробленого механізму рей-трейсингу, що взаємо пов’язує параметри джерела випромінювання, біологічного середовища, еліпсоїдального дзеркала та матричного приймача випромінювання в інформаційно-вимірювальній системі біомедичного фотометру з еліпсоїдальними рефлекторами, і який дозволяє вирішувати пряму та інверсну задачі поширення оптичного випромінювання методом статистичного моделювання Монте-Карло.
The thesis is devoted to the solution of the important scientifically applied problem of development the construction and application method of ellipsoidal reflectors in the registration and analysis systems of scattered optical radiation, as well as approbation of new structural, functional and biomedical solutions. This made it possible to theoretically and experimentally substantiate the method and hardware of the use the ellipsoidal reflectors for photometry of light scattering by biological media in the detection of their optical properties and identification of physical and physiological state. A fundamental basis for solving this problem is the first-time developed mechanism of ray-tracing, which colligate the parameters of the radiation source, biological media, ellipsoidal reflector and matrix photodetector in the information-measuring system of biomedical photometer, which allows to solve the direct and inverse problems of light propagation by the Monte Carlo statistical simulation. The main content of the thesis is outlined in eight chapters, which present and substantiate the goal and results of the work. The first chapter presents the results of analytical review and literary search, which reveal the tasks raised in the doctorate thesis. In particular, the methods of biophotonics that are most commonly used in the study of different biological media are given. The features of optical radiation propagation in biological media are analyzed, as well as the basic principles of the transfer radiative theory, which mathematically and analytically interpret this process. Typical photometric tools used for the study of biological media, boundary conditions of their use, and functional limitations are analyzed. The second chapter is devoted to the development a method of investigation the biological media optical properties. Structural schemes of basic photometers with ellipsoidal reflectors and features of their functioning are presented. The mathematical apparatus for calculating the ray tracing in a reflector with an internal ellipsoidal reflecting surface is presented, and the main types of ray trajectories are considered. The algorithm of the proposed mechanism of ray tracing and the features of its software are presented. The results of aberration analysis of ellipsoidal reflector are shown. The third chapter is devoted to the development of Monte Carlo models of light propagation in the information-measuring system of biomedical photometer with ellipsoidal reflectors. The features of the input data formation and the basic simulation algorithm are substantiated, as well as the boundary conditions of simulation. The analytical models of software adaptation of radiation source parameters, the receiving system, as well as the boundaries and scattering-absorption properties of the biological media that underlie the simulation are presented. The principles of determination the optical coefficients, algorithm and grounds of software implementation of Monte Carlo simulation in the system "radiation source + biological media + measuring tool" are presented. In the fourth chapter proposed the features of designing photometers with ellipsoidal reflectors by improving the standard equipment for microscopy, as well as in the construction of individual prototypes. Schemes of zone analysis at processing of photometric images obtained by photometry by ellipsoidal reflectors are considered. Mathematical and analytical aspects of solving the inverse problem of the radiative transfer theory by methods of Kubelka-Munk and inverse Monte-Carlo in the context the work of biomedical photometers with ellipsoidal reflectors operating in reflected and also in reflected and transmitted light are presented. The interrelation of photometric images and optical properties of the investigated biological media is considered. In the fifth chapter discusses the technological principles of ellipsoidal reflectors production and control. The materials choice of ellipsoid for different methods of shaping the aspherical surface is substantiated. The principles of production of metallic mirror ellipsoids of revolution using vertical-boring technology, as well as 3D printing technology from plastic are formulated. Practical aspects of applying a mirror coating to the inner ellipsoidal surface from plastic are determined. The analytical model and technical stages the shape control of the ellipsoidal surface are presented and photometric comparison of the functioning of reflectors produced by different technologies is made. The sixth chapter is devoted to the analysis of the effects of light scattering in the system "radiation source + biological media + measuring tool" for different profiles of energy distribution in the laser beam and their effect on the relative illuminance distribution of photometric image at zone analysis for different layers of human skin. The influence the parameters of ellipsoidal reflectors on the boundary geometric properties of optical radiation in the forward and backscattered light is considered. The influence the diameter and power of the incident beam at the tasks of Raman spectroscopy by ellipsoidal reflectors is also substantiated. In the seventh chapter features of application the photometry by ellipsoidal reflectors for creation and improvement tools of biological and medical diagnostics and control are shown. The influence of the scattering anisotropy factor on the illuminance of photometric images and the possibility of biomedical goniophotometry were evaluated. A measurement system for angular photometry in backscattered light was developed and investigated. Based on the model experiment, the prospects of using a photometer with ellipsoidal reflectors to control the optical clearing of human skin were evaluated. A prototype optical non-invasive glucometer with ellipsoidal reflectors was created and its functional features were investigated. The eighth chapter discusses the prospects of applying the mirror ellipsoids of revolution method for various problems in optical biomedical diagnostics.
В работе решен комплекс задач, позволивший решить важную научно-прикладную проблему разработки метода построения и применения эллипсоидальных рефлекторов в системах регистрации и анализа рассеянного оптического излучения, а также апробации новых конструктивных, функциональных и медико-биологических решений. Это позволило теоретически и экспериментально обосновать метод и аппаратные средства применения эллипсоидальные рефлекторов для фотометрии светорассеяния биологическими средами при обнаружении их оптических свойств и идентификации физического и физиологического состояния. Предложено фундаментальную основу решения указанной проблемы за счет впервые разработанного механизма рей-трейсинга, что взаимно связывает параметры источника излучения, биологической среды, эллипсоидального зеркала и матричного приемника излучения в информационно-измерительной системе биомедицинского фотометра с эллипсоидальными рефлекторами, и который позволяет решать прямую и инверсную задачи распространения оптического излучения методом статистического моделирования Монте-Карло.
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Ellipsoids of revolution"

1

Heitz, Siegfried. "Surface Coordinates on Ellipsoids of Revolution." In Coordinates in Geodesy, 99–165. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-73939-2_4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Grafarend, Erik W., Rey-Jer You, and Rainer Syffus. "Ellipsoid-of-Revolution to Tangential Plane." In Map Projections, 255–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36494-5_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Grafarend, Erik W., Rey-Jer You, and Rainer Syffus. "“Ellipsoid-of-Revolution to Cylinder”: Polar Aspect." In Map Projections, 347–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36494-5_14.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Grafarend, Erik W., Rey-Jer You, and Rainer Syffus. "“Ellipsoid-of-Revolution to Cylinder”: Transverse Aspect." In Map Projections, 361–413. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36494-5_15.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Grafarend, Erik W., Rey-Jer You, and Rainer Syffus. "“Ellipsoid-of-Revolution to Cylinder”: Oblique Aspect." In Map Projections, 415–35. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36494-5_16.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Grafarend, Erik W., Rey-Jer You, and Rainer Syffus. "“Ellipsoid-of-Revolution to Cone”: Polar Aspect." In Map Projections, 465–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36494-5_19.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Grafarend, Erik W., Rey-Jer You, and Rainer Syffus. "Ellipsoid-of-Revolution to Sphere and from Sphere to Plane." In Map Projections, 293–310. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36494-5_9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Caillau, Jean-Baptiste, and Clément W. Royer. "On the injectivity and nonfocal domains of the ellipsoid of revolution." In Geometric Control Theory and Sub-Riemannian Geometry, 73–85. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02132-4_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

"Appendix II. Demagnetization Factors for Ellipsoids of Revolution." In The Physical Principles of Magnetism. IEEE, 2009. http://dx.doi.org/10.1109/9780470546581.app2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Vermeer, Martin, and Antti Rasila. "The geometry of the ellipsoid of revolution." In Map of the World, 91–108. CRC Press, 2019. http://dx.doi.org/10.1201/9780429265990-8.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Ellipsoids of revolution"

1

Yoshinaga, Takashi, Ryoichi Hayashi, Toshikazu Hayashi, and Atsushi Tate. "Coning motion of circular cylinders blunted with ellipsoids of revolution." In Atmospheric Flight Mechanics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2000. http://dx.doi.org/10.2514/6.2000-4106.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Dastan, Alireza, and Omid Abouali. "Micro Fibers Motion in a Laminar Flow in a Microchannel." In ASME 2010 8th International Conference on Nanochannels, Microchannels, and Minichannels collocated with 3rd Joint US-European Fluids Engineering Summer Meeting. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30653.

Full text
Abstract:
In this paper the motion of micro fibers in a microchannel is studied numerically. The liquid flow regime is considered to be laminar and it is assumed that the fluid and the fibers have a one-way interaction meaning the effects of fibers on the flow are neglected. An inlet plenum of the microchannel with 15 channels considered as the physical domain. The fluid flow in the model is solved numerically by an Eulerian approach using the conventional SIMPLE algorithm. To study the motion of the micro fibers in the flow, the fibers are considered to be ellipsoids of revolution. A code is developed which uses the fluid flow results and solves the equations of ellipsoid motion in a Lagrangian reference frame. The equations of ellipsoid motion consist of three equations for the translational motion and three equations for the rotational motion. The equations are integrated numerically to find the trajectory and the orientation of the micro fibers in the microchannel.
APA, Harvard, Vancouver, ISO, and other styles
3

DAGHIGHI, SHAHRZAD, and PAUL M. WEAVER. "FAILURE PERFORMANCE OF BEND-FREE VARIABLE STIFFNESS COMPOSITE PRESSURE VESSELS." In Thirty-sixth Technical Conference. Destech Publications, Inc., 2021. http://dx.doi.org/10.12783/asc36/35889.

Full text
Abstract:
Pressure vessels are designed to store liquids and gases and have various applications spanning from chemical plants to automotive and aerospace industries. Currently, lightweight composite pressure vessels are desirable, especially in transportation industry applications because of their subsequent benefits in fuel consumption, cost and environmental issues. Using composite materials for pressure vessels along with advanced manufacturing technologies such as automated fiber placement provides excellent scope to tailor stiffness through the structural surface using fiber steering to achieve desirable structural performance. Recently, variable angle tow (VAT) technology has been used to suppress bending in super ellipsoids of revolution composite pressure vessels, resulting in minimizing the inefficient bending stresses and deformations and increasing their load-carrying capacity. It is worth noting that such geometries can provide excellent packing efficiency. These advantages make the bend-free super ellipsoids of revolution composite pressure vessels potential candidates for the next generation of pressure vessels. Therefore, their failure performance as the most important design factor should be studied carefully due to safety reasons. In this study, the maximum allowable internal pressure for VAT bend-free ellipsoidal pressure vessels, using the first-ply failure based on both Tsai-Wu and three-dimensional invariant-based failure criteria is determined. Subsequently, VAT bend-free pressure vessels’ failure performance is compared against that obtained for conventional constant stiffness composite vessels. Among structures considered, the VAT bend-free composite vessel has the best failure performance. Moreover, the predicted failure load using the three-dimensional invariant-based failure criterion for the VAT bend-free design is 34% lower than the failure load predicted by the Tsai- Wu. Finally, the effect of various material properties on the difference in predicted failure load using these criteria is assessed. Results provide physical insight useful for designers in materials selection.
APA, Harvard, Vancouver, ISO, and other styles
4

Yanzhong Yu and Wenbin Dou. "Reflection of Gaussian beams at the surface of an ellipsoid of revolution." In EM Theory (ISAPE - 2010). IEEE, 2010. http://dx.doi.org/10.1109/isape.2010.5696546.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Yu, Zongxin, Hao Liu, Xianzhou Wang, Zhiguo Zhang, and Fanchen Zhang. "Large Eddy Simulation of the Wake Behind an Ellipsoid at 45° Incidence Angle." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-61678.

Full text
Abstract:
For the well-defined bodies of revolution, the viscous flow past Prolate spheroids has fascinated scientists in fluid mechanics, marine hydrodynamics and aero-dynamical communities for decades. Previous experiment in different yaw and pitch angles of a prolate-spheroid like submarine mode suggests that the asymmetry is a feature of the high Reynolds wake of the symmetric body of revolution with incline angle. The objective of this paper is to examine the similar phenomenon — the asymmetric wake flow — in the relatively low Reynolds number. The present paper focuses on flow field with LES model for a 45° inclined 6:1 prolate spheroid. LESs of the flow and wake have been conducted at Reynolds numbers ReD = 3000, and 10000 (ReD based on the free-stream velocity U0 and the minor axes length D). The maximum grid points reaches 30 million. Results from simulation show the dominant structure of the wake to be a pair of counter-rotating vortices. Detailed observations and analyses show strong leeward side axial flow. Simulation results from LES were compared with the DNS results for ReD = 3000. The wake at ReD = 3000 and 10000 shown was complex with numerous disordered vortical structures. Strong asymmetric wake and large side-force were surprisingly observed and the asymmetry in near field and far field were analyzed and compared.
APA, Harvard, Vancouver, ISO, and other styles
6

Filkin, V. V., Svetlana P. Kotova, and M. A. Rakhmatulin. "Interaction of tightly focused laser beam with transparent dielectric particles in the shape of ellipsoid of revolution." In Saratov Fall Meeting 2001, edited by Vladimir L. Derbov, Leonid A. Melnikov, and Lev M. Babkov. SPIE, 2002. http://dx.doi.org/10.1117/12.469607.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Hadjinicolaou, Maria, Gregory Kamvyssas, and Eleftherios Protopapas. "Deriving “eigenflows” in ellipsoidal coordinate systems of revolution and in their inverted ones. A comparative study." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5044167.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Ali, Zulqarnain, Hassan Khalid, Zeeshan Riaz, and Talish Mahmood. "To develop a Source Panel Method Tool to Estimate Pressure Distribution over a 3D Non-Lifting Prolate Ellipsoid of Revolution." In 2021 International Bhurban Conference on Applied Sciences and Technologies (IBCAST). IEEE, 2021. http://dx.doi.org/10.1109/ibcast51254.2021.9393265.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

DeMoss, Joshua, and Roger Simpson. "A Study of the Boundary Layer Development, Skin Friction, and Wake on a non-Body of Revolution Ellipsoidal Model." In 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2009. http://dx.doi.org/10.2514/6.2009-1295.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Krueger, Katherine R., Wojciech Lipiński, and Jane H. Davidson. "Operational Performance of the University of Minnesota 45kWe High-Flux Solar Simulator." In ASME 2012 6th International Conference on Energy Sustainability collocated with the ASME 2012 10th International Conference on Fuel Cell Science, Engineering and Technology. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/es2012-91119.

Full text
Abstract:
This paper presents measured performance of the University of Minnesota’s 45 kWe indoor high-flux solar simulator. The simulator consists of seven radiation units, each comprised of a 6.5 kWe xenon short arc lamp coupled to a reflector in the shape of a truncated ellipsoid of revolution. Data include flux distribution at the focal plane for all seven radiation units operating in tandem and for individual radiation units. The flux distribution is measured optically by acquiring the image of radiation reflected from a Lambertian target with a CCD camera equipped with neutral density optical filters. The CCD camera output is calibrated to irradiation using a circular foil heat flux gage. It is shown that accurate calibration of the heat flux gage must account for its response to the spectral characteristics of the radiation source. The simulator delivers radiative power of approximately 9.2 kW over a 60-mm diameter circular area located in the focal plane, corresponding to an average flux of 3.2 MW m−2, with a peak flux of 7.3 MW m−2.
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Ellipsoids of revolution"

1

Elhashash, Abed. Existence, Uniqueness and Angle Computation for the Loxodrome on an Ellipsoid of Revolution. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-13-2009-75-88.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Ellipsoids of revolution' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography