Relevant bibliographies by topics / Ruled surface geometry

Contents

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

Academic literature on the topic 'Ruled surface geometry'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 February 2022

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Journal articles on the topic "Ruled surface geometry"

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Сальков, Николай, and Nikolay Sal'kov. "General Principles for Formation of Ruled Surfaces. Part 3." Geometry & Graphics 7, no. 2 (2019): 13–27. http://dx.doi.org/10.12737/article_5d2c170ab37810.30821713.

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We continue to consider the formation of ruled surfaces with a single method of their formation. In the first and second parts have been introduced more than forty options for specifying surfaces. These formations with the help of guide lines and surfaces are considered in a new aspect – as formation in science and production of all of ruled surfaces. In this paper, we consider new options for specifying ruled surfaces. Generalized the task for torso surface. If in textbooks on descriptive geometry torso surface is given as 1∞ straight lines, tangent to the spatial line, the proposed version o
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Li, Shutian, and Q. J. Ge. "Rational Be´zier Line-Symmetric Motions." Journal of Mechanical Design 127, no. 2 (2005): 222–26. http://dx.doi.org/10.1115/1.1798251.

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This paper brings together line geometry, kinematic geometry of line-symmetric motions, and computer aided geometric design to develop a method for geometric design of rational Be´zier line-symmetric motions. By taking advantage of the kinematic geometry of a line-symmetric motion, the problem of synthesizing a rational Be´zier line-symmetric motion is reduced to that of designing a rational Be´zier ruled surface. In this way, a recently developed de Casteljau algorithm for line-geometric design of ruled surfaces can be applied. An example is presented in which the Bennet motion is represented
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McCarthy, J. M. "On the Scalar and Dual Formulations of the Curvature Theory of Line Trajectories." Journal of Mechanisms, Transmissions, and Automation in Design 109, no. 1 (1987): 101–6. http://dx.doi.org/10.1115/1.3258772.

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The curvature theory of ruled surfaces has been studied in two different ways. The scalar formulation proceeds by defining a seqeunce of ruled surfaces associated with the trajectory ruled surface. The relative positions of these surfaces and their distribution parameters characterize the local properties of the original ruled surface. The other formulation uses dual vector algebra to transform the differential geometry of ruled surfaces into that of spherical curves. In each theory functions are obtained which characterize the shape of the ruled surface. This paper unites these formulations b
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Kaya, Onur, and Mehmet Önder. "Generalized normal ruled surface of a curve in the Euclidean 3-space." Acta Universitatis Sapientiae, Mathematica 13, no. 1 (2021): 217–38. http://dx.doi.org/10.2478/ausm-2021-0013.

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Abstract In this study, we define the generalized normal ruled surface of a curve in the Euclidean 3-space E3. We study the geometry of such surfaces by calculating the Gaussian and mean curvatures to determine when the surface is flat or minimal (equivalently, helicoid). We examine the conditions for the curves lying on this surface to be asymptotic curves, geodesics or lines of curvature. Finally, we obtain the Frenet vectors of generalized normal ruled surface and get some relations with helices and slant ruled surfaces and we give some examples for the obtained results.
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Karacan, Murat Kemal, Nural Yuksel, and Hasibe Ikiz. "On ruled surface in 3-dimensional almost contact metric manifold." International Journal of Geometric Methods in Modern Physics 14, no. 05 (2017): 1750076. http://dx.doi.org/10.1142/s0219887817500761.

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In this paper, we study ruled surface in 3-dimensional almost contact metric manifolds by using surface theory defined by Gök [Surfaces theory in contact geometry, PhD thesis (2010)]. We also studied the theory of curves using cross product defined by Camcı. In this study, we obtain the distribution parameters of the ruled surface and then some results and theorems are presented with special cases. Moreover, some relationships among asymptotic curve and striction line of the base curve of the ruled surface have been found.
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Wang, Xin Rong, and Xiao Hai Li. "The Research about Machining Technique of the Parts with Complex Curved Surfaces by WEDM." Advanced Materials Research 291-294 (July 2011): 373–76. http://dx.doi.org/10.4028/www.scientific.net/amr.291-294.373.

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In this paper, analyze the motion rules of multiple-spindle linkage motion in machining complex ruled curved surfaces by WEDM. Sum up the motion parameters and motion types in machining various complex surfaces by WEDM. According to the basic principles of the forming of ruled surface in spatial analytic geometry, establish five-spindle linkage motion cutting system. Prove the correctness of the mathematics models by means of computer simulating. In turn, verify the correctness of the computer simulating by machining simple parts. Therefore, give the theoretical base for the application in pro
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Ulucan, Neslihan, and Mahmut Akyigit. "Offset Ruled Surface in Euclidean Space with Density." Analele Universitatii "Ovidius" Constanta - Seria Matematica 29, no. 1 (2021): 219–33. http://dx.doi.org/10.2478/auom-2021-0015.

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Abstract In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied. In addition, the relationships between the mean curvature and mean curvature with density, and the Gaussian curvature and the Gaussian curvature with density of the offset ruled surfaces in E 3 with density e z and e − x 2− y 2 are given.
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Cui, Lei, Jian S. Dai, and Chung-Ching Lee. "Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229, no. 5 (2014): 957–64. http://dx.doi.org/10.1177/0954406214541430.

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This paper applies Euclidean invariants from differential geometry to kinematic properties of the ruled surfaces generated by the coupler link and the constraint-screw axes. Starting from investigating the assembly configuration, the work reveals two cycle phases of the coupler link when the input link finishes a full rotation. This leads to analysis of the motion ruled surface generated by the directrix along the coupler link, where Euclidean invariants are obtained and singularities are identified. This work further presents the constraint ruled surface that is generated by the constraint sc
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G�rsoy, Osman. "On the integral invariants of a closed ruled surface." Journal of Geometry 39, no. 1-2 (1990): 80–91. http://dx.doi.org/10.1007/bf01222141.

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Chen, Xiao An, and Li Ming Tang. "An Accurate Modeling Method of the Plane Enveloping Hourglass Worm." Applied Mechanics and Materials 86 (August 2011): 637–40. http://dx.doi.org/10.4028/www.scientific.net/amm.86.637.

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This paper proposes a new method for creating the accurate 3D geometry model of the plane enveloping hourglass worm efficiently. The working tooth surfaces of the worm are enveloped by the mother plane surfaces. And according to the gear engagement theory, the equations of the surfaces enveloped are established. By combination with engineering practice, the geometrical features of the surface enveloped are analyzed, and one of its features is that it is a ruled surface consisted of countless straight lines which are contact lines. For ∑(u, Φ1), which represents the surface enveloped, let the v
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Dissertations / Theses on the topic "Ruled surface geometry"

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Derenthal, Ulrich. "Geometry of universal torsors." Doctoral thesis, [S.l.] : [s.n.], 2006. http://webdoc.sub.gwdg.de/diss/2006/derenthal.

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Ramirez, Steven John. "Geodesics of ruled surfaces." CSUSB ScholarWorks, 2001. https://scholarworks.lib.csusb.edu/etd-project/2020.

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Khattab, Ashraf. "Flecnodal and LIE-curves of ruled surfaces." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2005. http://nbn-resolving.de/urn:nbn:de:swb:14-1133965882370-89507.

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If we consider ruled surfaces of the projective 3-space as a one parameter family of lines, then they appear in the well-known KLEIN-model of lines in the projective 3-space as curves of a hyperquadric in the projective 5-space. The osculating spaces of such a curve are represented in the projective 3-space by spaces of linear complexes. Those points of a generator e of the ruled surface, in which the tangent bundles are in the same time complex line bundles in the accompanying osculating line complex of the ruled surface along e, are called the LIE-points of e. The LIE-points fulfil two (real
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Beltiukov, Ilia. "Budoucnost brněnského výstaviště." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2019. http://www.nusl.cz/ntk/nusl-402989.

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The architectural project of Exhibition Hall is located in a part of Brno-Pisárky, in northern area of BVV. The objective of the land-use planning and architectural proposal was to integrate the Hall in proximity to the second entry of BVV. The pavilion is situated on the primary northen axe, which perpendiculary join the pedestrian bridge. The binding foot-bridge is used for path between the entry of BVV and the western entry into the exhibition section. Surrounding the building is situated green park. There are open areas for pedestrian, tree-hemmed paths and relaxation spots around the enti
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LEITE, Elaine Altino Freire. "Superfícies Regradas de Bonnet." Universidade Federal de Goiás, 2011. http://repositorio.bc.ufg.br/tede/handle/tde/1937.

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Made available in DSpace on 2014-07-29T16:02:17Z (GMT). No. of bitstreams: 1 dissertacao elaine.pdf: 373939 bytes, checksum: b28fbe329bf631f44f6ca1941e9060b5 (MD5) Previous issue date: 2011-03-31<br>In this work we show that a Surface is a Bonnet Surface if, and only if A-net, presenting in Soyuçok s work [6]. Using this result we study the Bonnet Ruled Surfaces, based in Kanbay s work [1].<br>Neste trabalho, mostraremos que uma superfície é de Bonnet se, e somente se for uma Anet, apresentado no trabalho Soyuçok [6]. Usando este resultado estudamos as Superfícies Regradas de Bonnet, baseado
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Flinn, Darrin Heinz. "Modeling bubble-particle interactions in flotation using hydrophobic solid surfaces." Diss., This resource online, 1996. http://scholar.lib.vt.edu/theses/available/etd-06062008-154507/.

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Wu, Feng-Chi, and 吳豐吉. "Geometry Design of Variable Pitch Lead Screw Transmission Mechanisms with Ruled-Revolution-Surface Meshing Elements." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/34921465399162104250.

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Nevins, Thomas A. "Moduli spaces of framed sheaves on ruled surfaces /." 2000. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9965126.

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Books on the topic "Ruled surface geometry"

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Xu, Zhiping. Continuous deformation of a developable surface. University of Texas at Arlington, Dept. of Mathematics, 1996.

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Projective differential geometry of curves and ruled surfaces. B. G. Teubner, 1991.

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Book chapters on the topic "Ruled surface geometry"

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Guth, Larry. "Ruled Surface Theory and Incidence Geometry." In A Journey Through Discrete Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-44479-6_18.

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Loh, Paul, Yuhan Hou, Chun Tung Tse, Jiaqi Mo, and David Leggett. "Freeform Volumetric Fabrication Using Actuated Robotic Hot Wire Cutter." In Proceedings of the 2020 DigitalFUTURES. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4400-6_26.

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AbstractThis paper discusses the design, fabrication and operational workflow of a novel hot-wire cutter used as an end effector for a robotic arm. Typically, hot wire cutters used a linear cutting element which results in ruled surfaces geometry. While several researchers have examined the use of hot wire cutter with cooperative robotic arms to create non-ruled surface geometry, this research explores the use of an actuated hot wire cutter manoeuver by a single robotic arm to produce similar form. The paper outlines the machine making process and its workflow resulting in a 1:1 scale prototype. The paper concludes by examining how the novel tool can be applied to an urban stage design. The research set up a fabrication procedure that has the potential to be deployed as an on-site fabrication methodology.
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Sato, Eiichi, and Heinz Spindler. "On the structure of 4 folds with a hyperplane section which is a ℙ1 bundle over a ruled surface." In Complex Analysis and Algebraic Geometry. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0077001.

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Snygg, John. "*Ruled Surfaces Continued." In A New Approach to Differential Geometry using Clifford's Geometric Algebra. Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-8283-5_9.

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Artal Bartolo, Enrique, José Ignacio Cogolludo-Agustín, and Jorge Martín-Morales. "Coverings of Rational Ruled Normal Surfaces." In Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96827-8_13.

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Ge, Q. J., and B. Ravani. "Geometric Design of Rational Bézier Line Congruences and Ruled Surfaces Using Line Geometry." In Geometric Modelling. Springer Vienna, 1998. http://dx.doi.org/10.1007/978-3-7091-6444-0_9.

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Xavier, João Pedro, and Eliana Manuel Pinho. "On the Biais Passé." In Advances in Media, Entertainment, and the Arts. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-5225-0029-2.ch015.

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Among the famous dynamic string models conceived by Théodore Olivier (1793-1853) as a primary didactic tool to teach Descriptive Geometry, there are some that were strictly related to classic problems of stereotomy. This is the case of the biais passé, which was both a clear illustration of a special warped ruled surface and an example of how constructors dealt with the problem of building a skew arch, solving structural and practical stone cutting demands. The representation of the biais passé in Olivier's model achieved a perfect correspondence to its épure with Monge's Descriptive Geometry. This follow from the long development of representational tools, since the 13th century sketch of an oblique passage, as well as the improvement of constructive procedures for skew arches. Paradoxically, when Olivier presented his string model, the importance of the biais passé was already declining. Meanwhile other ruled surfaces were appropriated by architecture, some of which acquiring, beyond their inherent structural efficiency, a relevant aesthetic value.
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Fallavollita, Federico. "Representation and Experimentation." In Advances in Media, Entertainment, and the Arts. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-5225-0029-2.ch010.

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This paper describes the use of the synthetic method through digital generative algorithms in the study of geometry. In particular, this paper describes the construction of a ruled surface that rests on three skew lines in the method of mathematical representation. This study is part of a bigger picture that has as its goal the renewal of the study of geometry according to the synthetic method, in other words through the use of drawing in the virtual laboratory. The drawing in this sense is a logical tool to understand the geometry in space. The possibility of constructing algorithms to generate and control geometric shape allows having a greater control on both the final form and, above all, on the generative process of form itself. This is particularly important for those who have a synthetic approach in the study of geometry. It refers to the ability to view the entire creative process of the shape and the ability to alter some parameters to improve the result. The representation of the algorithms allows having both an overview and a detailed view of the entire creative process.
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Jolivet, Jean-Pierre. "Surface Chemistry and Physicochemistry of Oxides." In Metal Oxide Nanostructures Chemistry. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190928117.003.0008.

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Oxide particles resulting from precipitation have at least one dimension less than a few nanometers. Therefore, as their specific area (surface-to-mass ratio) may reach several hundred square meters per gram, the behavior of these particles is closely related to their surface physical-chemical characteristics. Thus, the dispersion state of particles in solution is dependent on attractive and repulsive forces between surfaces. The balance control of these forces limits the aggregation of particles and promotes the formation of sols or gels, or, contrariwise, flocculates the particles and separates them from a suspension. The divison state of solids resulting from precipitation is ruled by forces that exert themselves onto the surface (interfacial—or surface—tension). They determine the extent of the surface area and, therefore, the particle size. Adsorption of ions or molecules within the dispersion depends on forces exerting between soluble species and the surface. These forces may be due to electrostatic charges on the surface. They may also be due to the ability of the surface cations to be coordinated by soluble species and/or the ability of surface oxygenated groups to coordinate cations from solution. The attachment of various species on the surface of oxide particles plays a major role in various fields—for instance, the transport of matter in natural or industrial waters, catalysis and corrosion phenomena, formation of stable and homogeneous dispersions. It is somewhat difficult to characterize the surface of nanometer-sized objects from structural as well as chemical standpoints. The geometry of such small particles is not easily defined with precision, and the surface often includes defects such as steps, truncations, and stacking faults. These sites are difficult to recognize but exhibit largely variable chemical reactivities. In addition, the study of the oxide– solution interface is complicated because few of its physical quantities are experimentally accessible. These quantities are treated as fitting parameters in more or less complex modelings. The current state of the art, however, allows suit­able interpretation of experimental data.
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I. Goray, Leonid. "Diffraction Grating Groove Metrology Using AFM & STM." In Atomic Force Microscopy - Basic Principles to Advanced Applications [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.97257.

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AFM &amp; STM metrology has been around for a long time, and especially intense since it has been awarded by the Nobel Prize in Physics in 1986. Since then, many AFM &amp; STM groove profile measurements on surface relief diffraction gratings have been presented. However, a wide review of the results of the use of AFM &amp; STM methods for groove metrology of various surface relief gratings has not really been undertaken. The following problems are discussed in this chapter: the cantilever tip deconvolution, geometry, and radius; groove shapes and abrupt groove slopes; roughness; PSD functions; etc. Also, the author demonstrates comparisons with other widely-used metrology techniques and examples of AFM &amp; STM data of bulk, coated, and multilayer-coated ruled, or holographic, or lithographic gratings having realistic groove profiles. These gratings were chosen because high quality efficiency data exists, in particular, for space gratings or/and X-ray gratings characterized by synchrotron radiation sources; and their groove profiles, together with random nanoroughness, were measured by AFM or STM to be included in rigorous efficiency and scattered light intensity calculus. In the present chapter, both the earlier published results and the recent, non-published yet results are described and discussed.
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Conference papers on the topic "Ruled surface geometry"

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Ge, Q. J., and Donglai Kang. "Geometric Design of Smooth Composite Ruled Surface Strips Using Dual Spherical Geometry." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0086.

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Abstract This paper deals with geometric construction of smooth composite ruled surface strips. Oriented lines that constitute the rulings of the ruled surfaces are represented by unit vectors with three components over the ring of dual numbers. The problem of designing a smooth ruled surface is studied as that of designing a one-real-parametric curve on the unit dual sphere. Geometric conditions for piecing two ruled surfaces smoothly are developed using differential geometry of curves on the dual sphere. A coordinate-frame invariant method for line segmentation is also presented. Finally, a
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Zhou, Yayun, Jörg Schulze, and Stefan Schäffler. "Blade geometry design with kinematic ruled surface approximation." In the 2010 ACM Symposium. ACM Press, 2010. http://dx.doi.org/10.1145/1774088.1774357.

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Cui, Lei, Jian S. Dai, and Chung-Ching Lee. "Motion and Constraint Ruled Surfaces of the Schatz Linkage." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28883.

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This paper investigates the motion and constraint ruled surfaces of the Schatz linkage by examining their geometric characteristics based on screw system analysis. The paper starts by revealing two assembly configurations in accordance with previous literature and examines the cycle phases of the coupler link. This leads to analysis of the motion ruled surface generated by the directrix along the coupler link with Euclidean invariants. The paper further investigates the screw system and its corresponding reciprocal screw and generates the constraint ruled surface in studying its geometry. The
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Li, Shutian, and Q. J. Ge. "Rational Bézier Line-Symmetric Motions." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8654.

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Abstract This paper brings together line geometry, kinematic geometry of line-symmetric motions, and computer aided geometric design to develop a method for geometric design of rational Bézier line-symmetric motions. By taking advantage of the kinematic geometry of a line-symmetric motion, the problem of synthesizing a rational Bézier line-symmetric motion is reduced to that of designing a rational Bézier ruled surface. In this way, a recently developed de Casteljau algorithm for line-geometric design of ruled surfaces can be applied. An example is presented in which the Bennet motion is repre
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Hildebrandt, A., T. Ceyrowsky, J. Klausmann, and K. A. Metz. "On the Correlation Between Span-Wise Inducer Incidence and Impeller Diffusion for Ruled Surface and Barreled Sweep-Bow Impeller Design at IGV-Off-Design." In ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gt2021-59555.

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Abstract In the present paper, three centrifugal stages of high volume flow coefficient are compared to each-other regarding their aerodynamic performance in design point and off-design point conditions at different speed and IGV-setting angle: two stages with full-blade design (no splitter blades) have been numerically designed with different design geometry methodology. One geometry is based on a classical ruling surface design with a linear leading edge, the second geometry based on a fully-3d surface including a blade bow at the trailing edge and a barreled sweep at the leading edge. Accor
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Wang, Wei, and Delun Wang. "Curvature Theory of the Envelop Curve / Surface for a Line in Planar Motion and a Plane in Spatial Motion." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28125.

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The curvature theories for the envelop curve of a line in planar motion and the envelop ruled surface of a plane in spatial motion are extensively researched in the differential geometry language. A line-envelop curve in planar motion is firstly derived by means of the adjoint approach. The higher order curvature theory of the envelop curve reveals a unified form in the infinitesimal and finitely separated positions for a line in planar motion. And then, a plane in spatial motion traces the envelop surface, which is a developable surface and whose invariants are concisely derived. The geodesic
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Ji, Min, T. Q. Dang, and Michael J. Cave. "Fully Three-Dimensional Viscous Semi-Inverse Method for Subsonic Mixed-Flow and Radial Impeller Design." In ASME Turbo Expo 2009: Power for Land, Sea, and Air. ASMEDC, 2009. http://dx.doi.org/10.1115/gt2009-59679.

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A new semi-inverse design method for turbomachinery blading is proposed in this paper. Built on a time-marching Reynolds-Averaged Navier-Stokes solver, the proposed design method takes pressure loading, blade tangential thickness, blade stacking line, and flow path contour as prescribed quantities and computes the corresponding three-dimensional blade camber surface. In order to have the option of imposing geometrical constraints on the designed blade shapes, a new algorithm is developed to solve the camber surface at specified spanwise grid-lines, after which the blade geometry is constructed
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DILLEN, FRANKI, and WOLFGANG KÜHNEL. "Curvature of ruled surfaces and groups of Lorentzian motions." In Geometry and Topology of Submanifolds IX. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789812817976_0014.

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Kmet’ová, Mária, Tibor Kmet’, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Line Geometry in CAGD Ruled Surfaces and Topological Properties of Related Line Congruencies." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241432.

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Gurunathan, B., and S. G. Dhande. "A Computer Aided Geometric Method for Development of Conical Convolutes." In ASME 1987 Design Technology Conferences. American Society of Mechanical Engineers, 1987. http://dx.doi.org/10.1115/detc1987-0047.

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Abstract Convolutes are single curved, ruled surfaces formed by moving a plane tangent to two curves called the directrices. Conical convolutes are one form of convolutes. If atleast one of the two planar directrices is a super-ellipse, then the surface is called a super-conical convolute. Necessary mathematical expressions for the geometrical details as well as the development of the super-conical convolute surface are given in this paper. Also a suitable algorithm for the development of the surface is given. An illustrative case study is presented.
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