Relevant bibliographies by topics / Helicoidal surfaces

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Helicoidal surfaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Helicoidal surfaces"

1

Maria da Silva, Rosângela, and Keti Tenenblat. "Helicoidal Minimal Surfaces in a Finsler Space of Randers Type." Canadian Mathematical Bulletin 57, no. 4 (December 1, 2014): 765–79. http://dx.doi.org/10.4153/cmb-2013-047-7.

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AbstractWe consider the Finsler space obtained by perturbing the Euclidean metric of ℝ3 by a rotation. It is the open region of ℝ3 bounded by a cylinder with a Randers metric. Using the Busemann–Hausdorff volume form, we obtain the differential equation that characterizes the helicoidal minimal surfaces in . We prove that the helicoid is a minimal surface in only if the axis of the helicoid is the axis of the cylinder. Moreover, we prove that, in the Randers space , the only minimal surfaces in the Bonnet family with fixed axis Ox̄3 are the catenoids and the helicoids.
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JI, FENGHUI, and YOUNG HO KIM. "HELICOIDAL CDPC-SURFACES IN MINKOWSKI 3-SPACE." International Journal of Geometric Methods in Modern Physics 07, no. 06 (September 2010): 979–88. http://dx.doi.org/10.1142/s021988781000466x.

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In this paper, we discuss the local existence and the construction of helicoidal CDPC-surfaces, i.e. the helicoidal surfaces with constant difference of the principal curvatures, in Minkowski 3-space [Formula: see text]. In general, there exist helicoidal surfaces with conjugate complex principal curvatures, which have no counterparts in R3. We prove this is still true for helicoidal CDPC-surfaces but not true for rotation surfaces in [Formula: see text].
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3

YOON, DAE WON, DONG-SOO KIM, YOUNG HO KIM, and JAE WON LEE. "HELICOIDAL SURFACES WITH PRESCRIBED CURVATURES IN Nil3." International Journal of Mathematics 24, no. 14 (December 2013): 1350107. http://dx.doi.org/10.1142/s0129167x13501073.

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In the present paper, we study helicoidal surfaces in the 3-dimensional Heisenberg group Nil3. Also, we construct helicoidal surfaces in Nil3 with prescribed Gaussian curvature or mean curvature given by smooth functions. As the results, we classify helicoidal surfaces with constant Gaussian curvature or constant mean curvature.
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4

Roussos, Ioannis M. "The helicoidal surfaces as Bonnet surfaces." Tohoku Mathematical Journal 40, no. 3 (1988): 485–90. http://dx.doi.org/10.2748/tmj/1178227989.

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Pleşu, Gheorghe. "Grapho-Analytical Determination of the Profile Disc Tool for Manufacturing of Complex Helicoidal Surfaces." Advanced Materials Research 837 (November 2013): 164–69. http://dx.doi.org/10.4028/www.scientific.net/amr.837.164.

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Helicoidal surfaces correspond to a cathegory of widely spread surfacesin the technical field. From the point of view of the manufacturing of helicoidal surfaces through the moving of a profile around the helix, the two elements defining such a surface can be distinguished: the profile and the helix. The numerical determination of the profile of the disc type tool drawn on an analytical method with a large number of points [1- (the number reaches even 1500 in some cases) implies a great effort so that the technician can verify the correctness of results, even in the present case when there is the possibility of the numerical determination through the resolution of the inverse problem of the frontal profile of the complex helicoidal surface. In order to facilitate this work and to give the possibility of introducing some new profiles in the projection system, some methods of grapho-analytical determination have been conceived to process the profiles of the complex helicoidal surfaces, as well as the profiles of the helicoidal surfaces for a given tool profile. This paper presents the graphic-analytical determination of the disc tool profile designed to dress the complex helicoidal surfaces. The methods referred to by using the possibilities provided by the programming environment AutoCAD and its development languages allow to determin numerically the profile of the disc-cutter with a high precision, above the precision level required in practice.
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Krivoshapko, S. N. "Geometry and Strength of General Helicoidal Shells." Applied Mechanics Reviews 52, no. 5 (May 1, 1999): 161–75. http://dx.doi.org/10.1115/1.3098932.

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The geometry of helical surfaces has been well studied. Several available methods of strength analysis of helicoidal shells give one a choice in solving one-dimensional or two-dimensional problems. The basic problems considered in this review article, which contains 181 references, include geometrical research, approximation and bending of helical surfaces, static analysis of helicoidal shells by analytic and numerical methods, the vibrations of pre-twisted cantilevered plates, helical tubular shells, the generation of helical surfaces by mated surface of revolution, and the application of the helicoidal constructions.
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Karunakaran, K. P., and S. G. Dhande. "Computer aided design of cutters for helicoidal surfaces." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 212, no. 5 (May 1, 1998): 373–82. http://dx.doi.org/10.1243/0954405981515978.

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The design of cutters is an important consideration for the manufacture of helicoidal surfaces such as extruder screw surfaces. These surfaces are produced mostly by milling processes using form cutters of end mill type, side mill type or disc type, such as side-and-face mill or grinding wheel. The methodology proposed in the paper addresses the problem of the design of cutters for the machining of helicoidal surfaces. Using the proposed methodology, the characteristic profile(s) of the cutter can be determined from the given cross-sectional profile and lead of a helicoidal surface. By sweeping this characteristic profile along an appropriate path or around an axis, the geometry of the specific form cutter can be obtained. Such a geometry could be a turning tool, an end mill, a side mill, a side-and-face mill or a grinding wheel, depending on the process adopted for manufacture. The proposed methodology can also be used to determine the geometry of the helicoidal surface that will be obtained by using a given cutter. In the paper, the procedure to obtain the geometry of the cutters for machining extruder screws is explained with illustrations.
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Jacob, Michael. "Saddle, Tower and Helicoidal Surfaces." Journal de Physique II 7, no. 7 (July 1997): 1035–44. http://dx.doi.org/10.1051/jp2:1997169.

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Ferrer, Leonor, and Francisco Martín. "Minimal surfaces with helicoidal ends." Mathematische Zeitschrift 250, no. 4 (April 15, 2005): 807–39. http://dx.doi.org/10.1007/s00209-005-0777-x.

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Волков, А. Г., Т. А. Ноговицына, А. А. Повзнер, and Т. М. Нуретдинов. "Магнитный фазовый переход в MnSi на основе LSDA+U +SO-расчетов электронной структуры и спин-флуктуационной теории." Физика твердого тела 60, no. 10 (2018): 1882. http://dx.doi.org/10.21883/ftt.2018.10.46512.105.

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AbstractSpin states appearing near the magnetic phase transition in helicoidal ferromagnet MnSi are studied on the basis of the spin-fluctuation theory and the LSDA + U + SO calculations of the electronic structure. The temperature dependence of the uniform magnetic susceptibility is calculated near the magnetic phase transition temperature, and the result agrees well with the experiment. Spin correlators corresponding to various solutions of the equation of magnetic state are determined in the region of the magnetic phase transition expanded in temperature. It is shown that, in this region, a helicoidal short-range order appears in the form of the superposition of left and right spin spirals with stochastic weight coefficients. It is shown that the magnetic susceptibility divergences on the helicoid wave vector at the temperature of disappearance of local magnetization and during the transition to the paramagnetic state.
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Dissertations / Theses on the topic "Helicoidal surfaces"

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SOUZA, Danillo Flugge de. "Superfícies Helicoidais no espaço Euclidiano e de Minkowski." Universidade Federal de Goiás, 2012. http://repositorio.bc.ufg.br/tede/handle/tde/1958.

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Made available in DSpace on 2014-07-29T16:02:21Z (GMT). No. of bitstreams: 1 Superficies helicoidais.pdf: 906474 bytes, checksum: 1d89336393ea70fe9a7948ddebe670f9 (MD5) Previous issue date: 2012-05-31
In this work, based in [2] and [6] we studies helicoidal surfaces of the Euclidean space and Minkowski space R31 with prescribed Gaussian or mean curvature given by smooth functions. In the Minkowski space we consider three especial kinds of helicoidal surfaces, corresponding to the space-like, time-like or light-like axes of revolution and show some geometric meanings of the helicoidal surfaces of the space-like type. We also define certain solinoid (tubular) surfaces around a hyperbolic helix in R31and we study some of their geometric properties.
Neste trabalho, baseado nos artigos [2] e [6] estudamos superfícies helicoidais no Espaço Euclidiano e no Espaço de Minkowski R31 com curvatura média ou Gaussiana dada por funções diferenciáveis. No Espaço de Minkowski R31 , consideramos três tipos especiais de superfícies helicoidais, correspondendo aos eixos de revolução space-like, time-like ou light-like e apresentamos alguns significados geométricos de superfícies helicoidais do tipo space-like. Também definimos superfícies (tubulares) solenóides em torno de uma hélice hiperbólica em R31 e estudamos algumas de suas propriedades geométricas.
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Okano, Valdir. "Campos Ressonantes Helicoidais em Tokamaks." Universidade de São Paulo, 1990. http://www.teses.usp.br/teses/disponiveis/43/43131/tde-20052014-135521/.

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Obtivemos mapas de Poincaré das linhas de força do campo magnético resultante da superposição linear do campo magnético de um plasma toroidal em equilíbrio com o campo magnético de correntes helicoidais externas. Devido a falta de simetria do campo magnético não podemos definir uma expressão analítica que descreva os mapas; estes foram, então, obtidos pela integração numérica da equação das linhas de força dVET.lxVET.B = 0. Nos mapas de Poincaré aparecem as ilhas magnéticas principais e as ilhas magnéticas secundárias. As ilhas magnéticas secundárias surgem devido a geometria toroidal. Sobre uma mesma superfície ressonante, as ilhas não tem tamanhos iguais.
Poincaré maps of magnetic field lines of a toroidal helical system were made. The magnetic field is a linear superposition of the magnetic fields produced by a toroidal plasma in equilibrium and by external helical currents. We do not have an analytical expression for the Poincaré maps since the magnetic field do not have symmetry. In order to obtain the maps, the equation dl x B = O is numerically integrated. In the Poincaré maps, the principal and the secondary magnetic islands were observed. The islands do not have equal widths in the same resonant surface.
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Monteiro, Luiz Henrique Alves. "Superfícies magnéticas de campos helicoidais toroidais em tokamaks." Universidade de São Paulo, 1990. http://www.teses.usp.br/teses/disponiveis/43/43131/tde-22052014-142315/.

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Propõe-se analisar teoricamente a instabilidade disruptora que ocorre em plasmas confinados em Tokamaks, investigando-se a influencia de campos helicoidais ressonantes em seu equilíbrio. Para isso, considerou-se a superposição do campo magnético do plasma em equilíbrio MHD estático com o campo associado às ressonâncias, levando-se em conta a geometria toroidal do Tokamak. Devido a falta de simetria, as linhas do campo magnético total resultante desta superposição devem formar superfícies magnéticas apenas em algumas regiões do plasma. Usando o método da media, foram obtidas (analiticamente) funções de superfícies aproximadas que contem, em torno das regiões de ressonância do plasma, as linhas deste campo magnético total. Verificou-se que estas superfícies aproximadas têm estruturas de ilhas magnéticas.
It is proposed to analyse theoretically the disruptive instability that occurs in confined plasmas in Tokamaks, through investigation of the influence of resonant helical fields on their equilibrium. With this aim, a superposition of the magnetic field of the plasma in static MHD equilibrium with the field associated with the resonances is considered, taking into account the toroidal geometry of the tokamak. Due to the lack of symmetry, the lines of the total magnetic field resulting from this superposition must form magnetic surfaces only around some regions of the plasma. Using the averaging method, functions of approximate magnetic surfaces are obtained (analitically) around the regions of resonances of the plasma (they contain the lines of this total magnetic field). It was verified that these approximate surfaces have structures of magnetic islands.
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Yucel, Burak. "Performance Prediction Of Horizontal Axis Wind Turbines Using Vortex Theory." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605715/index.pdf.

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iv Performance prediction of HAWTs is important because it gives an idea about the power production of a HAWT in out of design conditions without making any experiments. Since the experiments of fluid mechanics are difficult to afford, developing some models is very beneficial. There are some models developed about this subject using miscellaneous methods. In this study, one can find &ldquo
Vortex Theory&rdquo
among one of these theories. Some basic 3D aerodynamics was discussed in order to make the reader to understand the main subject of this study. Just after that, performance prediction of constant speed, stall controlled HAWTs was discussed. In order to understand the closeness of this theory to experiments, as a sample, NREL &ldquo
Combined Experiment Rotor&rdquo
was considered. Performances obtained by AEROPOWER, written in Visual Basic 6.0 and Excel combination, and experimental results were compared for different wind velocities. Acceptable results were obtained for wind speeds not much different than the design wind speed. For relatively lower wind speeds, due to &ldquo
turbulence&rdquo
, and for relatively higher wind speeds, due to &ldquo
stall&rdquo
, the program did not give good results. In the first case it has not given any numerical result. Power curves were obtained by only changing the settling angle, and only changing the rotor angular speed using AEROPOWER. It was seen that, both settling angle and rotor rpm values influence the turbine power output significantly.
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Marachli, Alaa. "Sur la stabilité de certaines surfaces minimales sous le flot de courbure moyenne nulle dans l'espace de Minkowski." Thesis, Paris Est, 2019. http://www.theses.fr/2019PESC0034.

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Cette thèse porte sur la question de stabilité de certaines surfaces minimales évoluant sous le flot de courbure moyenne nulle dans l'espace de Minkowski. Cette problématique conduit à l'étude d'un système d'équations qui s'avère d'être hyperbolique sous la condition que les surfaces en question restent de type temps.Le travail qu'on présente ici se compose de deux parties. La première partie est liée à la formation de singularités en temps fini pour des surfaces asymptotiques au cône de Simons à l'infini et la seconde partie est consacrée à la stabilité de l'hélicoïde.Dans la première partie de cette thèse, on montre en collaboration avec Hajer Bahouri et Galina Perelman par une approche constructive l'existence d'une famille de surfaces évoluant par le flot de courbure moyenne nulle dans l'espace de Minkowski qui explose lorsque t tend vers 0 vers une surface qui se comporte comme le cône de Simons à l'infini. Ce problème revient à étudier les phénomènes d'explosion pour une équation d'ondes quasi linéaire du second ordre.L'objectif de la seconde partie est d’étudier la stabilité de l'hélicoïde soumise à des perturbations radiales normales. En fait, l'hélicoïde est linéairement instable d'indice 1 et c'est pourquoi on ne peut s'attendre à un résultat de stabilité pour des perturbations arbitraires. Nous montrons dans cette partie que cette instabilité est la seule obstruction pour la stabilité non linéaire globale de l'hélicoïde. Plus précisément, en se plaçant dans le cadre des perturbations radiales normales, on a démontré l'existence d'une variété de codimension 1 constituée de données initiales générant des solutions globales convergeant vers l'hélicoïde à l'infini
This thesis focuses on the stability of some minimal surfaces under the vanishing mean curvature flow in Minkowski space. This issue amounts to investigate a system which turns out to be hyperbolic as long as the involved surfaces are time-like surfaces.The work presented here includes two parts. The first part in joint work with Hajer Bahouri and Galina Perelman is dedicated to the issue of singularity formation in finite time for surfaces asymptotic to the Simons cone at infinity and the second part is devoted to the study of the stability of the helicoid.In the first part of this thesis, we prove by a constructive approach the existence of a family of surfaces which evolve by the vanishing mean curvature flow in Minkowski space and which as t tends to~0 blow up towards a surface which behaves like the Simons cone at infinity. This issue amounts to investigate the singularity formation for a second order quasilinear wave equation.The aim of the second part is to investigate the stability of the helicoid under normal radial perturbations. Actually, the helicoid is linearly unstable of index 1, and that is why we cannot expect to have stability for arbitrary perturbations. In this part, we establish that this instability is the only obstruction to the global nonlinear stability for the helicoid. More precisely, in the framework of normal radial perturbations, we prove the existence of a codimension one set of small initial data generating global solutions converging to the helicoid at infinity
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Zhang, Wuyang. "Isotropic-Helicoidal Transition of Semiflexible Polymers Confined to a Spherical Surface." Thesis, 2008. http://hdl.handle.net/10012/4185.

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A semiflexible polymer confined to a spherical surface is used as a basic model for understanding DNA conformation in restricted space. By means of Monte Carlo simulation for a bead-rod chain generated on a spherical surface, we find an ordered helicoidal phase at sufficiently high surface density and determine the critical density of the isotropic-helicoidal phase transition for various persistence lengths. We verify that the excluded volume effect is the key factor to cause the helicoidal state. In addition to Monte Carlo simulations, we utilize the model of wormlike chain with Onsager's excluded volume interaction and examine the Landau expansion of the free energy involving both the orientational and spatial order parameters. We also analytically figure out the critical density and transition gap for various ratios of persistence lengths of the polymer chain and the radius of spherical surface. The results from both simulation and analysis are consistent with each other.
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Schmies, Markus [Verfasser]. "Computational methods for Riemann surfaces and helicoids with handles / vorgelegt von Markus Schmies." 2005. http://d-nb.info/976663104/34.

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Ram, Mohan Devang S. "An Introduction to Minimal Surfaces." Thesis, 2014. http://etd.iisc.ernet.in/handle/2005/2890.

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In the first chapter of this report, our aim is to introduce harmonic maps between Riemann surfaces using the Energy integral of a map. Once we have the desired prerequisites, we move on to show how to continuously deform a given map to a harmonic map (i.e., find a harmonic map in its homotopy class). We follow J¨urgen Jost’s approach using classical potential theory techniques. Subsequently, we analyze the additional conditions needed to ensure a certain uniqueness property of harmonic maps within a given homotopy class. In conclusion, we look at a couple of applications of what we have shown thus far and we find a neat proof of a slightly weaker version of Hurwitz’s Automorphism Theorem. In the second chapter, we introduce the concept of minimal surfaces. After exploring a few examples, we mathematically formulate Plateau’s problem regarding the existence of a soap film spanning each closed, simple wire frame and discuss a solution. In conclusion, a partial result (due to Rad´o) regarding the uniqueness of such a soap film is discussed.
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Book chapters on the topic "Helicoidal surfaces"

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Banyai, K., and I. Dudas. "Automatized Geometrical Qualification of Helicoidal Surfaces." In Proceedings of the Thirty-First International Matador Conference, 333–37. London: Macmillan Education UK, 1995. http://dx.doi.org/10.1007/978-1-349-13796-1_50.

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Meeks, William, and Joaquín Pérez. "Uniqueness of the helicoid I: proper case." In A Survey on Classical Minimal Surface Theory, 91–94. Providence, Rhode Island: American Mathematical Society, 2012. http://dx.doi.org/10.1090/ulect/060/08.

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"Helicoidal surfaces." In Translations of Mathematical Monographs, 53–61. Providence, Rhode Island: American Mathematical Society, 2003. http://dx.doi.org/10.1090/mmono/221/04.

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Dudás, Illés. "Manufacturing geometry for constant pitch helicoidal surfaces." In The Theory and Practice of Worm Gear Drives, 33–123. Elsevier, 2004. http://dx.doi.org/10.1016/b978-190399661-4/50006-x.

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Dudás, Illés. "Manufacture of helicoidal surfaces in modern intelligent integrated systems." In The Theory and Practice of Worm Gear Drives, 222–59. Elsevier, 2004. http://dx.doi.org/10.1016/b978-190399661-4/50010-1.

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"Other Surfaces with Negative Curvature: Catenoid and Helicoid." In Crocheting Adventures with Hyperbolic Planes, 120–29. A K Peters/CRC Press, 2009. http://dx.doi.org/10.1201/b10669-15.

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Conference papers on the topic "Helicoidal surfaces"

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Guo, Yangkuan, Lianqing Zhu, Mingli Dong, Qingshan Chen, Lishuang Liu, and Hongling Zou. "Error assessment of helicoidal surfaces." In Fourth International Symposium on Precision Mechanical Measurements, edited by Yetai Fei, Kuang-Chao Fan, and Rongsheng Lu. SPIE, 2008. http://dx.doi.org/10.1117/12.819764.

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Zhu, Lianqing, Zhaoyao Shi, Mingli Dong, Qingshan Chen, and Yangkuan Guo. "A uniform model for the evaluation of deviations from helicoidal surfaces." In Third International Symposium on Precision Mechanical Measurements. SPIE, 2006. http://dx.doi.org/10.1117/12.716350.

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Yan, Yafei, Lianqing Zhu, Mingli Dong, Qingshan Chen, and Zhaoyao Shi. "The separation and assessment methods of the helix feature line of helicoidal surfaces." In Sixth International Symposium on Instrumentation and Control Technology: Signal Analysis, Measurement Theory, Photo-Electronic technology, and Artificial Intelligence, edited by Jiancheng Fang and Zhongyu Wang. SPIE, 2006. http://dx.doi.org/10.1117/12.717229.

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Meng Hao, Zhu Lianqing, and Chen Qingshan. "Method of separation for characterized curve errors of helicoidal surfaces based on dynamic GM(1,1) and least-squares." In International Conference on Advanced Technology of Design and Manufacture (ATDM 2010). IET, 2010. http://dx.doi.org/10.1049/cp.2010.1288.

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Rui Zhang, Linna Zhang, and Xutang Wu. "Research on digital design method of worm helicoidal surface." In 2011 Second International Conference on Mechanic Automation and Control Engineering (MACE). IEEE, 2011. http://dx.doi.org/10.1109/mace.2011.5987960.

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Chen, Qingpeng, Yangkuan Guo, Lianqing Zhu, and Hongling Zou. "Study on parameters fitting of Archimedes helicoid surface." In Sixth International Symposium on Precision Engineering Measurements and Instrumentation. SPIE, 2010. http://dx.doi.org/10.1117/12.885819.

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Figliolini, Giorgio, Hellmuth Stachel, and Jorge Angeles. "The Role of the Orthogonal Helicoid in the Generation of the Tooth Flanks of Involute-Gear Pairs With Skew Axes." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34932.

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Camus’ concept of Auxiliary Surface (AS) is extended to the case of involute gears with skew axes. In the case at hand, we show that the AS is an orthogonal helicoid whose axis a) lies in the cylindroid and b) is normal to the instant screw axis of one gear with respect to its meshing counterpart; in general, the helicoid axis is skew with respect to the latter. According to the spatial version of Camus’ Theorem, any line attached to the AS, in particular any generator g of AS itself, can be chosen to generate a pair of conjugate flanks with line contact. While the pair of conjugate flanks is geometrically feasible, as they always share a line of contact and the tangent plane at each point of this line, there are poses where the flanks even have a common Disteli axis. Then there is a G2-contact at the striction point and the two surfaces penetrate each other. The outcome is that the surfaces are not realizable as tooth flanks. Nevertheless, this is a fundamental step towards the synthesis of the flanks of involute gears with skew axes.
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Guo, Yangkuan, Lianqing Zhu, and Qingpeng Chen. "The study on the sampling method of the helicoid surface." In Fourth International Seminar on Modern Cutting and Measuring Engineering, edited by Jiezhi Xin, Lianqing Zhu, and Zhongyu Wang. SPIE, 2010. http://dx.doi.org/10.1117/12.888549.

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Chunxia Lu, Qicheng Lao, Qiang Zhu, and Jianhua Wang. "Notice of Retraction: 3D probe radius compensation in measurement of characterized curves of complex helicoidal surface." In 2010 2nd International Conference on Mechanical and Electronics Engineering (ICMEE 2010). IEEE, 2010. http://dx.doi.org/10.1109/icmee.2010.5558472.

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Wang, Shuqiang, Jinmeng Qiao, Dan Sun, and Bilal Akram. "Research on High Pressure Die Bulging to Helicoid Surface of Metal Helical Stator." In Proceedings of the 2019 International Conference on Modeling, Simulation and Big Data Analysis (MSBDA 2019). Paris, France: Atlantis Press, 2019. http://dx.doi.org/10.2991/msbda-19.2019.53.

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