Academic literature on the topic 'Bodies of constant width'

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Journal articles on the topic "Bodies of constant width"

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Lassak, Marek, and Michał Musielak. "Spherical bodies of constant width." Aequationes mathematicae 92, no. 4 (2018): 627–40. http://dx.doi.org/10.1007/s00010-018-0558-3.

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Howard, Ralph. "Convex bodies of constant width and constant brightness." Advances in Mathematics 204, no. 1 (2006): 241–61. http://dx.doi.org/10.1016/j.aim.2005.05.015.

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Bazylevych, L. E., and M. M. Zarichnyi. "On convex bodies of constant width." Topology and its Applications 153, no. 11 (2006): 1699–704. http://dx.doi.org/10.1016/j.topol.2004.08.025.

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Jin, HaiLin, and Qi Guo. "Asymmetry of Convex Bodies of Constant Width." Discrete & Computational Geometry 47, no. 2 (2011): 415–23. http://dx.doi.org/10.1007/s00454-011-9370-8.

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Antonyan, Sergey A., Natalia Jonard-Pérez, and Saúl Juárez-Ordóñez. "Hyperspaces of convex bodies of constant width." Topology and its Applications 196 (December 2015): 347–61. http://dx.doi.org/10.1016/j.topol.2014.05.027.

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Lachand-Robert†, Thomas, and Édouard Oudet. "Bodies of constant width in arbitrary dimension." Mathematische Nachrichten 280, no. 7 (2007): 740–50. http://dx.doi.org/10.1002/mana.200510512.

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Zalgaller, V. A. "Geodesic diameter of bodies of constant width." Journal of Mathematical Sciences 161, no. 3 (2009): 373–74. http://dx.doi.org/10.1007/s10958-009-9561-5.

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Howard, Ralph, and Daniel Hug. "Nakajima's Problem: Convex Bodies of Constant Width and Constant Brightness." Mathematika 54, no. 1-2 (2007): 15–24. http://dx.doi.org/10.1112/s0025579300000164.

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Zhou, Xinyue, and Hailin Jin. "Critical Chords of Convex Bodies of Constant Width." Wuhan University Journal of Natural Sciences 23, no. 6 (2018): 461–64. http://dx.doi.org/10.1007/s11859-018-1348-4.

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Bárány, Imre, and Rolf Schneider. "Typical curvature behaviour of bodies of constant width." Advances in Mathematics 272 (February 2015): 308–29. http://dx.doi.org/10.1016/j.aim.2014.10.025.

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Dissertations / Theses on the topic "Bodies of constant width"

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Averkov, Gennadiy. "Metrical Properties of Convex Bodies in Minkowski Spaces." Doctoral thesis, Universitätsbibliothek Chemnitz, 2004. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200401537.

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The objective of this dissertation is the application of Minkowskian cross-section measures (i.e., section and projection measures in finite-dimensional linear normed spaces over the real field) to various topics of geometric convexity in Minkowski spaces, such as bodies of constant Minkowskian width, Minkowskian geometry of simplices, geometric inequalities and the corresponding optimization problems for convex bodies. First we examine one-dimensional Minkowskian cross-section measures deriving (in a unified manner) various properties of these measures. Some of these properties are extensions
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González, Merino Bernardo. "Los radios sucesivos de un cuerpo convexo = Successive radii of convex bodies." Doctoral thesis, Universidad de Murcia, 2013. http://hdl.handle.net/10803/116860.

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La Tesis Doctoral está dedicada al estudio de ciertas propiedades de los radios sucesivos de los cuerpos convexos (funcionales definidos a partir de circunradios e inradios de proyecciones o secciones del cuerpo). Comenzamos estableciendo las nociones básicas necesarias para el desarrollo de los contenidos. A continuación calculamos los radios sucesivos de familias particulares de conjuntos (p-bolas, anchura constante, cuerpos tangenciales), y estudiamos la conexión existente entre estos funcionales y los números de Gelfand y Kolmogorov. En el tercer capítulo consideramos el problema de Pukhov
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Ghevaert, Cedric. "Recombinant anti-bodies with a modified non-destructive constant region for the treatment of fetomaternal alloimmune thrombocytopenia." Thesis, Open University, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.489916.

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Alloimmunisation against paternal human platelet antigen (HPA) can result in fetomaternal alloimmune thrombocytopenia (FMAIT) and intracranial haemorrhage (ICH) in the fetus, both in the antenatal and perinatal period. Analysis of 200 confirmed cases of FMAIT, showed that HPA-1a antibodies accounted for 75% of all cases and ICHs, with long-term neurological disabilities in 72%. Clinical data showed that antenatal treatment of alloimmunised pregnancies with intrauterine transfusions (lUT) carried a 15% risk of intrauterine death (lUD) and that postnatal treatment with HPA-1a negative platelet w
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Spirova, Margarita. "Discrete Geometry in Normed Spaces." Doctoral thesis, Universitätsbibliothek Chemnitz, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-62896.

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This work refers to ball-intersections bodies as well as covering, packing, and kissing problems related to balls and spheres in normed spaces. A quick introduction to these topics and an overview of our results is given in Section 1.1 of Chapter 1. The needed background knowledge is collected in Section 1.2, also in Chapter 1. In Chapter 2 we define ball-intersection bodies and investigate special classes of them: ball-hulls, ball-intersections, equilateral ball-polyhedra, complete bodies and bodies of constant width. Thus, relations between the ball-hull and the ball-intersection of a set ar
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Ofosu, Willie Kenneth. "Analysis of uniform and stepped coplanar strips structures including constant width slot antennas." Thesis, University of Essex, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.241201.

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Dey, Abhishek. "VARIABILITY AND LOCATION OF MOVEMENT ENDPOINT DISTRIBUTIONS: THE INFLUENCE OF INSTRUCTIONS FOR MOVEMENT SPEED AND ACCURACY." Cleveland State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=csu1463074085.

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Qassim, K. A. S. "Optimisation of focal plane arrays for microwave imaging : printed Yagi, dielectric rod and constant width slot antennas are investigated and optimised for close stacking in focal plane arrays intended for microwave imaging." Thesis, University of Bradford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.320761.

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Sim, Luke. "Explicit Perceptual Estimation of Movement Variability." Cleveland State University / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=csu1560332998736569.

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"Stereological estimation of the distribution of spherical bodies with constant radius." Chinese University of Hong Kong, 1995. http://library.cuhk.edu.hk/record=b5888564.

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by Fung Siu-kwong.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1995.<br>Includes bibliographical references (leaves 61-62).<br>Chapter 1 --- Introduction --- p.1<br>Chapter 2 --- Independently distributed spheres with constant radius --- p.5<br>Chapter 2.1 --- The method of moment estimator of R --- p.6<br>Chapter 2.2 --- Maximum likelihood estimator of R --- p.7<br>Chapter 2.3 --- Mean squared errors of the estimators of R --- p.7<br>Chapter 2.4 --- Confidence interval of R .。 --- p.14<br>Chapter 3 --- Dependently distributed spheres with the constant radius --- p.17<br>Chapt
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FENG, SHENG-JIA, and 馮勝嘉. "Water waves induced by gradually width-varied channel for constant depth." Thesis, 1990. http://ndltd.ncl.edu.tw/handle/45090327146590863045.

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Books on the topic "Bodies of constant width"

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Martini, Horst, Luis Montejano, and Déborah Oliveros. Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7.

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Gjergji, Iside. Sociologia della tortura. Edizioni Ca' Foscari, 2019. http://dx.doi.org/10.30687/978-88-6969-391-5.

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This work addresses torture with the ambition to strengthen a properly sociological approach to it by bringing to the fore the social history of the tortured, also through the fundamental contribution of the political economy. This category is not utilised in an abstract way, it is brought into the picture through the social history of the bodies of those tortured. These bodies are not considered mere biological bodies subjugated by ‘power’, but rather bodies with a voice, bodies capable of revealing their social standing. Placing the bodies’ class at the centre of the analysis allows us to fu
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Martini, Horst, Luis Montejano, and Déborah Oliveros. Bodies of Constant Width: An Introduction to Convex Geometry with Applications. Springer, 2019.

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Green, Monica. Caring for Gendered Bodies. Edited by Judith Bennett and Ruth Karras. Oxford University Press, 2013. http://dx.doi.org/10.1093/oxfordhb/9780199582174.013.003.

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Given the comparatively slow pace of human evolution, the body, as a biological entity, may be taken more or less as a historical constant during the past 1500 years. But every interaction with that body was mediated by culture, and thus gender analysis is a driving force in the expanding field of the history of health. This essay looks at how changing expectations of gender and knowledge shaped medical and surgical interventions in three circumstances: pregnancy; childbirth emergencies; and the care of intersexed persons. The field of the history of health is still rapidly expanding, and the
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Deruelle, Nathalie, and Jean-Philippe Uzan. Conservation laws. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0007.

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This chapter defines the conserved quantities associated with an isolated dynamical system, that is, the quantities which remain constant during the motion of the system. The law of momentum conservation follows directly from Newton’s third law. The superposition principle for forces allows Newton’s law of motion for a body Pa acted on by other bodies Pa′ in an inertial Cartesian frame S. The law of angular momentum conservation holds if the forces acting on the elements of the system depend only on the separation of the elements. Finally, the conservation of total energy requires in addition
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Oliver, Jennifer H. Shipwreck in French Renaissance Writing. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198831709.001.0001.

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In the sixteenth century, a period of proliferating transatlantic travel and exploration, and, latterly, religious civil wars in France, the ship is freighted with political and religious, as well as poetic, significance; symbolism that reaches its height when ships – both real and symbolic – are threatened with disaster. The Direful Spectacle argues that, in the French Renaissance, shipwreck functions not only as an emblem or motif within writing, but as a part, or the whole, of a narrative, in which the dynamics of spectatorship and of co-operation are of constant concern. The possibility of
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Mann, Peter. Virtual Work & d’Alembert’s Principle. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0013.

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This chapter discusses virtual work, returning to the Newtonian framework to derive the central Lagrange equation, using d’Alembert’s principle. It starts off with a discussion of generalised force, applied force and constraint force. Holonomic constraints and non-holonomic constraint equations are then investigated. The corresponding principles of Gauss (Gauss’s least constraint) and Jourdain are also documented and compared to d’Alembert’s approach before being generalised into the Mangeron–Deleanu principle. Kane’s equations are derived from Jourdain’s principle. The chapter closes with a d
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Young, Emma. Motherhood. Edinburgh University Press, 2018. http://dx.doi.org/10.3366/edinburgh/9781474427739.003.0003.

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This chapter commences by contextualising the politics of motherhood in light of the feminist writings of Shulamith Firestone, Adrienne Rich and Julia Kristeva. The literary analysis focuses on the control of women’s bodies and societal expectations in the work of Roberts and how the critique of motherhood apparent in these narratives reflects a tendency of much second-wave feminist thought. The second section considers the writings of Simpson and how she invokes the narrative brevity of the short story to heighten the sense of spatial constraint the female protagonist’s, who are mothers, expe
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Aziz, Qasim, and James K. Ruffle. The neurobiology of gut feelings. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198811930.003.0005.

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“It’s a gut feeling.” Indeed, how and why do we get “gut feelings?” After the brain, the gut is the second most innervated bodily organ, diffusely interconnected with gastrointestinal afferent neurons. Whilst sensory neurons from the gut ascend by means of the spinal cord and vagal nerve to subcortical and higher cortical areas of the brain, caudally descending motor efferents from brain to gut seek to modulate gastrointestinal function. Such is the construct of the “brain–gut axis,” a bi-directional body nexus permitting constant information transfer between both brain and gut so as to provid
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Kennefick, Daniel. Three and a Half Principles: The Origins of Modern Relativity Theory. Edited by Jed Z. Buchwald and Robert Fox. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199696253.013.27.

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This article explores the origins of modern relativity theory. In his 1905 paper On the Electrodynamics of Moving Bodies, Albert Einstein directly addressed one of the largest issues of the time. Electrodynamics aims to describe the motion of charged particles (usually thought of as electrons), whose interaction through the electromagnetic field, as described by Maxwell’s equations, affects their respective motions. The problem was so complex because the electromagnetic field theory was not an action-at-a-distance theory. This article begins with an overview of the principle of relativity and
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Book chapters on the topic "Bodies of constant width"

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Martini, Horst, Luis Montejano, and Déborah Oliveros. "Figures of Constant Width." In Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7_4.

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Martini, Horst, Luis Montejano, and Déborah Oliveros. "Concepts Related to Constant Width." In Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7_17.

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Martini, Horst, Luis Montejano, and Déborah Oliveros. "Bodies of Constant Width in Analysis." In Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7_13.

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Martini, Horst, Luis Montejano, and Déborah Oliveros. "Bodies of Constant Width in Topology." In Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7_16.

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Martini, Horst, Luis Montejano, and Déborah Oliveros. "Sections of Bodies of Constant Width." In Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7_9.

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Martini, Horst, Luis Montejano, and Déborah Oliveros. "Introduction." In Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7_1.

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Martini, Horst, Luis Montejano, and Déborah Oliveros. "Bodies of Constant Width in Minkowski Spaces." In Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7_10.

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Martini, Horst, Luis Montejano, and Déborah Oliveros. "Bodies of Constant Width in Differential Geometry." In Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7_11.

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Martini, Horst, Luis Montejano, and Déborah Oliveros. "Mixed Volumes." In Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7_12.

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Martini, Horst, Luis Montejano, and Déborah Oliveros. "Geometric Inequalities." In Bodies of Constant Width. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03868-7_14.

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Conference papers on the topic "Bodies of constant width"

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Garci´a-Vallejo, D., J. L. Escalona, J. Mayo, J. Domi´nguez, and A. A´lvarez. "Describing Rigid-Flexible Multibody Systems Using Natural and Absolute Nodal Coordinates." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48328.

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This paper deals with the dynamic description of interconnected rigid and flexible bodies. The absolute nodal coordinate formulation is used to describe the motion of flexible bodies and natural coordinates are used to describe the motion of the rigid bodies. The absolute nodal coordinate formulation is a non-incremental finite element procedure specially suitable for the dynamic analysis of flexible bodies exhibiting rigid body motion and large deformations. Nodal coordinates, that include global position vectors and global slopes, are all defined in a global inertial coordinate system. The a
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Izadi, Mohammad J. "CFD Solution of a Two-Canopy Parachute in a Top-to-Top Formation With a Vent of Air From One of Its Canopy." In ASME 2008 Fluids Engineering Division Summer Meeting collocated with the Heat Transfer, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/fedsm2008-55174.

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A CFD study of a 3 Dimensional flow field around two bodies (Two Canopies of a Parachutes) as two bluff bodies in an incompressible fluid (Air) is modeled here. Formations of these two bodies are top-to-top (One on the top of the other) with respect to the center of each other. One canopy with a constant cross sectional area with a vent of air at its apex, and the other with a variable cross sectional area with no vent is studied here. Vertical distances of these two bodies are varied form zero to half, equal, double and triple radius of the body with a vent on it. The flow condition is consid
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Izadi, Mohammad J. "Numerical Effect of Airflow From a Lower Canopy (Bluff Body) Into an Upper Canopy in Steady and Turbulent Condition." In ASME 2008 Fluids Engineering Division Summer Meeting collocated with the Heat Transfer, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/fedsm2008-55074.

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In this paper, a 3-D flow field around two bluff bodies in an incompressible fluid is modeled [1]. Formations of these two bodies are top to top (One on the top of the other) with respect to the center of each other. The lower on has a constant cross sectional area with a vent of air at its apex and the upper one has a variable cross sectional area with no vent on it. The vertical distances between the bluff bodies, the cross sectional area, and also the vent ratio of bluff bodies are varied here. Vertical distances of these two bodies are varied form zero to half, equal, double and triple the
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Zavalishchin, Dmitry. "Features of optimal control problem moving bodies with variable geometry in a viscous medium with non-constant density." In THERMOPHYSICAL BASIS OF ENERGY TECHNOLOGIES (TBET 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0041699.

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Belibassakis, K. A., Th P. Gerostathis, K. V. Kostas, et al. "A BEM-Isogeometric Method With Application to the Wavemaking Resistance Problem of Ships at Constant Speed." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49159.

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In the present work IsoGeometric Analysis (IGA), initially proposed by Hughes et al (2005), is applied to the solution of the boundary integral equation associated with the Neumann-Kelvin (NK) problem and the calculation of the wave resistance of ships, following the formulation by Brard (1972) and Baar &amp; Price (1988). As opposed to low-order panel methods, where the body is represented by a large number of quadrilateral panels and the velocity potential is assumed to be piecewise constant (or approximated by low degree polynomials) on each panel, the isogeometric concept is based on explo
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Rusyak, I. G., V. A. Tenenev, and S. A. Korolev. "Numerical research of resistance of environment to accelerated motion of bodies with various forms in channel of constant section." In INTERNATIONAL CONFERENCE ON THE METHODS OF AEROPHYSICAL RESEARCH (ICMAR 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0051760.

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Davies, Michael, and Joseph Saverin. "Implementation of Adaptive Gaussian Quadrature for Improved Accuracy of Boundary Element Methods Applied to Three Dimensional Geometries." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-91499.

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Abstract An adaptive Gaussian quadrature method for characterizing flow over three dimensional bodies via a boundary element method using isoparametric quadrilateral elements with non-constant source and dipole strengths has been developed and tested. This method is compared to state-of-the-art methods: flat elements with constant strengths, flat elements with bilinear strengths, and twisted elements with constant dipole strengths. As such, an overview of current boundary element methods is provided. The method developed here for twisted elements with non-constant source and dipole strengths i
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Mirehei, S. M., A. T. Franco, S. L. M. Junqueira, and J. L. Lage. "Periodic Horizontal Heating of Enclosed Disconnected Solid Bodies Saturated With a Fluid." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-38984.

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In the present study, the ensuing natural convection phenomenon inside a heated enclosure filled with disconnected, discrete solid blocks, and under time-periodic heating in the horizontal direction is investigated numerically. This configuration is akin to several practical engineering applications, such as in the food (baking) industry, metal parts (heat treating) industry, and containerization (storage and transportation) of discrete solid goods. Because of the relative large size of the solid bodies placed inside the enclosure, a porous medium approach is not appropriate in the present cas
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Ziegler, Pascal, Alexander Humer, Astrid Pechstein, and Johannes Gerstmayr. "Generalized Component Mode Synthesis for the Spatial Motion of Flexible Bodies With Large Rotations About One Axis." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12106.

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By far the most common approach to describe flexible multi-body systems in industrial practice is the floating frame of reference formulation (FFRF) very often combined with the component mode synthesis (CMS) in order to reduce the number of flexible degrees of freedom. As a result of the relative formulation of the flexible deformation with respect to the reference frame, the mass matrix and the quadratic velocity vector are state-dependent, i.e. non-constant. This requires an evaluation of both the mass matrix and the quadratic velocity vector in every integration step, representing a consid
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Ku¨bler, Lars, Peter Eberhard, and Johannes Geisler. "Flexible Multibody Systems With Large Deformations Using Absolute Nodal Coordinates for Isoparametric Solid Brick Elements." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48303.

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In this paper a formulation for flexible Multibody Systems (MBS) is proposed where flexible bodies are described using absolute coordinates for isoparametric brick elements. The use of absolute coordinates allows for large deformations and provides an accurate description of rigid body motion and inertia in the case of large rotations without additional considerations. Further, constant mass matrices are obtained for isoparametric elements. Brick elements are important, e. g. if general solid bodies with low stiffness, i. e. not negligible large deformations, are part of the MBS and cannot be
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Reports on the topic "Bodies of constant width"

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Ghanipoor Machiani, Sahar, Aryan Sohrabi, and Arash Jahangiri. Impact of Regular and Narrow AV-Exclusive Lanes on Manual Driver Behavior. Mineta Transportation Institute, 2020. http://dx.doi.org/10.31979/mti.2020.1922.

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This study attempts to answer the question of how a narrow (9-ft) lane dedicated to Automated Vehicles (AVs) would affect the behavior of drivers in the adjacent lane to the right. To this end, a custom driving simulator environment was designed mimicking the Interstate 15 smart corridor in San Diego. A group of participants was assigned to drive next to the simulated 9-ft narrow lane while a control group was assigned to drive next to a regular 12-ft AV lane. Driver behavior was analyzed by measuring the mean lane position, mean speed, and mental effort (self-reported/subjective measure). In
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