Academic literature on the topic 'Dynamic and Interactive geometry'

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Journal articles on the topic "Dynamic and Interactive geometry"

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Ponchio, F., and K. Hormann. "Interactive Rendering of Dynamic Geometry." IEEE Transactions on Visualization and Computer Graphics 14, no. 4 (2008): 914–25. http://dx.doi.org/10.1109/tvcg.2008.35.

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Jasutė, Eglė, and Valentina Dagienė. "Interaktyviojo geometrijos vizualizavimo modelis naudojant dinaminės geometrijos paradigmą." Informacijos mokslai 56 (January 1, 2011): 31–41. http://dx.doi.org/10.15388/im.2011.0.3153.

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Straipsnyje analizuojama interaktyviojo geometrijos vizualizavimo samprata, atskleidžiamos dinaminės geometrijos konstravimo problemos. Pateikiami interaktyviojo vizualizavimo dinaminėje geometrijoje didaktiniai principai: bendrieji, skirti visai veiklos sričiai, ir specialieji, skirti interaktyviam vaizdui. Apibūdinami interaktyviojo vizualizavimo dinaminėje geometrijoje konstravimo principai: geometriniam brėžiniui ir interaktyviam vaizdui. Straipsnyje pateikiamas interaktyviojo vizualizavimo modelis naudojant dinaminės geometrijos paradigmą. Aprašomas modelio taikymo pavyzdys vizualizuojant
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Battista, Michael T. "Learning Geometry in a Dynamic Computer Environment." Teaching Children Mathematics 8, no. 6 (2002): 333–39. http://dx.doi.org/10.5951/tcm.8.6.0333.

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NCTM's Principles and Standards for School Mathematics suggests that interactive geometry software can be used to enhance student learning (2000). This article shows how using such software can foster the development of students' understanding and reasoning about two-dimensional shapes. The article first describes basic principles that underlie high-quality geometry instruction, then gives examples that illustrate how appropriate use of dynamic software can enhance students' geometric reasoning.
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Embse, Charles Vonder, and Arne Engebretsen. "Technology Tips: Using Interactive-Geometry Software for Right-Angle Trigonometry." Mathematics Teacher 89, no. 7 (1996): 602–5. http://dx.doi.org/10.5951/mt.89.7.0602.

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A student's first contact with right-angle trigonometry is usually a diagram like figure 1, showing a right triangle with the vertices labeled A, B, and C; the sides labeled appropliately a, b, and c; and the ratios using the adjacent side, opposite side, and hypotenuse displayed. Students compute the ratios for several, at most, numerical examples that show the trigonometric ratios for different angles. But what if students could actually explore this and other trigonometlic relationships in a straightforward, dynamic, and accurate way? Instead of doing a few static examples, what if students
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Moyer, Todd O. "Non-Geometry Mathematics and The Geometer's Sketchpad." Mathematics Teacher 99, no. 7 (2006): 490–95. http://dx.doi.org/10.5951/mt.99.7.0490.

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The Geometer's Sketchpad (GSP) is a well-known interactive geometry software package. Its usefulness in geometry instruction has been well researched (Choi-Koh 1999; Dixon 1997; Groman 1996; Lester 1996; Moyer 2003; Weaver and Quinn 1999). Finzer and Jackiw (1998) recommend the use of GSP as the dynamic manipulative for geometric concepts. GSP allows students to construct a figure, to perform measurements of lengths and angles, and then to “click and drag” any part or parts of that figure to look for change.
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Bagher, Mahdi Mohammad, Cyril Soler, Kartic Subr, Laurent Belcour, and Nicolas Holzschuch. "Interactive Rendering of Acquired Materials on Dynamic Geometry Using Frequency Analysis." IEEE Transactions on Visualization and Computer Graphics 19, no. 5 (2013): 749–61. http://dx.doi.org/10.1109/tvcg.2012.298.

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Medeiros, Margarete Farias, Debora Valletta, Elizete Maria Possamai Ribeiro, Katelyn Luzia Dos Santos Daboit, and Evandro Bitencourt Magagnin. "A Atenção Voluntária na Construção de Conceitos Trigonométricos em Ambientes de Geometria Dinâmica." Revista Brasileira de Informática na Educação 25, no. 01 (2017): 77. http://dx.doi.org/10.5753/rbie.2017.25.01.77.

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This article presents the results of the project, obtained through didactic sequences applications. The objective was to investigate the voluntary attention span of students when subjected to Dynamic Geometry Environment (GDE) in the exploration of trigonometric concepts. To carry out the didactic sequences was used GeoGebra software, a free Dynamic Geometry Environment software that allows the identification of algebraic and geometric concepts simultaneously in an interactive interface and simples. The methodology used, regarding the approach of the problem, was defined as qualitative, regard
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Amghar, B., and M. Daoud. "Quantum state manifold and geometric, dynamic and topological phases for an interacting two-spin system." International Journal of Geometric Methods in Modern Physics 17, no. 02 (2020): 2050030. http://dx.doi.org/10.1142/s0219887820500309.

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We consider a two-spin system of [Formula: see text] Heisenberg type submitted to an external magnetic field. Using the associated [Formula: see text] geometry, we investigate the dynamics of the system. We explicitly give the corresponding Fubini–Study metric. We show that for arbitrary pure initial states, the dynamics occurs on a torus. We compute the geometric phase, the dynamic phase and the topological phase. We investigate the interplay between the torus geometry and the entanglement of the two spins. In this respect, we provide a detailed analysis of the geometric phase, the dynamics v
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Jasute, Egle, and Valentina Dagiene. "Towards Digital Competencies in Mathematics Education." International Journal of Digital Literacy and Digital Competence 3, no. 2 (2012): 1–19. http://dx.doi.org/10.4018/jdldc.2012040101.

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Technological innovation has influenced learning, and teachers have suggested different ways of use for digital equipment, to improve learning and to achieve better outcomes from their students. Today’s youth has grown up with digital technology and has lived immersed in environments populated by computers, video games, digital music players, video cameras, cell phones, and thousands of other toys and tools of the digital age. It is for this reason that the authors are persuaded that education in the 21st century should be directed to use digital resources as well as digital ways of teaching i
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Bautista Niño, Carlos Rene. "Development of the communicative process in teaching and learning geometry through interactive mathematics software." Revista de Investigação e Divulgação em Educação Matemática 3, no. 1 (2019): 73–95. http://dx.doi.org/10.34019/2594-4673.2019.v3.27816.

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This qualitative approach research project, aims to strengthen the communication process in teaching and learning of mathematics, through resolution of geometric problems in an interactive mathematics software environment in 4th and 5th grade students of the escuela rural La Chacara, in the municipality of Santa Bárbara (Santander). Who excels at communicating, can also interpret and express situations in regard of mathematical contexts in a determined and specific language. These communicative abilities in the solution of a mathematical problem are cognitively related actions that imply verba
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Dissertations / Theses on the topic "Dynamic and Interactive geometry"

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Chan, Yip-cheung, and 陳葉祥. "Experimental-theoretical interplay in dynamic geometry environments." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2009. http://hub.hku.hk/bib/B41633921.

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Jasutė, Egle. "Interactive visualization model for the constructionist teaching and learning of geometry." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2014. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2014~D_20141209_111855-74602.

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Teaching of mathematics is one of the most complicated and demanding disciplines in a curriculum. The aim of a teacher is not only to communicate knowledge but also to engage the students, motivate them and involve in active learning process by encouraging them to construct their knowledge and competencies. Dynamic geometry systems based on the principle of constructionist learning enable to effectively involve students into the activity by constructing their mathematical knowledge and competencies. However, teachers of mathematics find it difficult to employ the systems since the technical sk
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Frazee, Leah M. "The Interaction of Geometric and Spatial Reasoning: Student Learning of 2D Isometries in a Special Dynamic Geometry Environment." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1531862080144028.

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Nascimento, Eimard Gomes Antunes do. "AvaliaÃÃo do software geogebra como instrumento psicopedagÃgico de ensino em geometria." Universidade Federal do CearÃ, 2012. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=7492.

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CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>O estudo tem por objetivo avaliar o software livre Geogebra para o ensino aprendizagem de geometria, como uma ferramenta psicopedagÃgica, com destaque aos recursos que facilitam a integraÃÃo e uso do programa com os conteÃdos curriculares, professores e alunos. O software pode ser aplicado desde as sÃries inicias do ensino fundamental, em estudos universitÃrios e em cursos a distÃncia via internet. O Geogebra à um software sobre matemÃtica dinÃmica, gratuito e de multi-plataforma para todos os nÃveis de ensino, que combina geometri
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Doulgerakis, Emmanouil. "Influence of Switches and Crossings on Wheel Wear of a Freight Vehicle." Thesis, KTH, Spårfordon, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-134704.

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Turnouts (Switches &amp; Crossings) are important components in railway networks, as they provide the necessary flexibility for train operations by allowing trains to change among the tracks. But the turnout’s geometry with discontinuity in rail profiles and lack of transition curve causes additional wear both on track and on vehicle. The main goal of this MSc thesis is to investigate the influence of turnouts on wheel wear of a freight vehicle. This will be obtained by simulations in the commercial MBS software GENSYS. The wheel-rail contact is modelled according to Hertz’s theory and Kalker’
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NASCIMENTO, Eimard Gomes Antunes. "Avaliação do software geogebra como instrumento psicopedagógico de ensino em geometria." http://www.teses.ufc.br, 2012. http://www.repositorio.ufc.br/handle/riufc/3081.

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NASCIMENTO, Eimard Gomes Antunes . Avaliação do software geogebra como instrumento psicopedagógico de ensino em geometria. 2012.113f. Dissertação (Mestrado em Educação) – Universidade Federal do Ceará, Faculdade de Educação, Programa de Pós-Graduação em Educação Brasileira, Fortaleza-CE, 2012.<br>Submitted by Maria Josineide Góis (josineide@ufc.br) on 2012-07-06T12:04:55Z No. of bitstreams: 1 2012_Dis_EGANascimento.pdf: 1109485 bytes, checksum: 2166a7f6639ae4cd68fe3dc82b971e3a (MD5)<br>Approved for entry into archive by Maria Josineide Góis(josineide@ufc.br) on 2012-07-09T12:44:46Z (GMT) No. o
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Winroth, Harald. "Dynamic projective geometry." Doctoral thesis, Stockholm : Tekniska högsk, 1999. http://www.lib.kth.se/abs99/winr0324.pdf.

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Blom, Kristopher James. "Dynamic, interactive virtual environments." Göttingen Sierke, 2009. http://d-nb.info/992932998/04.

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Reach, Andrew McCaleb. "Smooth Interactive Visualization." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/78848.

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Information visualization is a powerful tool for understanding large datasets. However, many commonly-used techniques in information visualization are not C^1 smooth, i.e. when represented as a function, they are either discontinuous or have a discontinuous first derivative. For example, histograms are a non-smooth visualization of density. Not only are histograms non-smooth visually, but they are also non-smooth over their parameter space, as they change abruptly in response to smooth change of bin width or bin offset. For large data visualization, histograms are commonly used in place of
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Chan, Yip-cheung. "Experimental-theoretical interplay in dynamic geometry environments." Click to view the E-thesis via HKUTO, 2009. http://sunzi.lib.hku.hk/hkuto/record/B41633921.

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Books on the topic "Dynamic and Interactive geometry"

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Fejér, Paul Haralyi. Dynamic geometry. P.H. Fejér, 1995.

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Korn, Granino Arthur. Interactive dynamic system simulation. McGraw-Hill, 1989.

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Interactive dynamic-system simulation. 2nd ed. CRC Press, 2011.

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Baulac, Yves. The interactive geometry notebook. Brooks/Cole, 1992.

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Javascript: [create dynamic interactive web pages]. Computer Step, 2003.

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Tanton, James. Geometry: An interactive journey to mastery. Teaching Co., 2014.

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Cook, Dianne, and Deborah F. Swayne. Interactive and Dynamic Graphics for Data Analysis. Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-71762-3.

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Pagenkopf, Eric L. Dynamic stall analysis utilizing interactive computer graphics. Naval Postgraduate School, 1988.

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Embse, Charles Vonder. Cabri Jr: Interactive geometry activities and investigations. Texas Instruments, 2004.

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Towards dynamic randomized algorithms in computational geometry. Springer-Verlag, 1993.

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Book chapters on the topic "Dynamic and Interactive geometry"

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Botana, Francisco. "Interactive versus Symbolic Approaches to Plane Loci Generation in Dynamic Geometry Environments." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-46080-2_22.

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Zhang, Li, and Manish Parashar. "A Dynamic Geometry-Based Shared Space Interaction Framework for Parallel Scientific Applications." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-30474-6_24.

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Barklage, Alexander, and Rolf Radespiel. "Interaction of Wake and Propulsive Jet Flow of a Generic Space Launcher." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53847-7_8.

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Abstract This work investigates the interaction of the afterbody flow with the propulsive jet flow on a generic space launcher equipped with two alternative nozzle concepts and different afterbody geometries. The flow phenomena are characterized by experimental measurements and numerical URANS and LES simulations. Investigations concern a configuration with a conventional truncated ideal contour nozzle and a configuration with an unconventional dual-bell nozzle. In order to attenuate the dynamic loads on the nozzle fairing, passive flow control devices at the base of the launcher main body are investigated on the configuration with TIC nozzle. The nozzle Reynolds number and the afterbody geometry are varied for the configuration with dual-bell nozzle. The results for integrated nozzles show a shift of the nozzle pressure ratio for transition from sea-level to altitude mode to significant lower levels. The afterbody geometry is varied including a reattaching and non-reattaching outer flow on the nozzle fairing. Investigations are performed at supersonic outer flow conditions with a Mach number of $$Ma_\infty =3$$. It turns out, that a reattachment of the outer flow on the nozzle fairing leads to an unstable nozzle operation.
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Pålsson, Björn A. "A Parameterized Turnout Model for Simulation of Dynamic Vehicle-Turnout Interaction with an Application to Crossing Geometry Assessment." In Lecture Notes in Mechanical Engineering. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38077-9_41.

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Ayesh, Aladdin. "Interactive Sites." In Essential Dynamic HTML fast. Springer London, 2000. http://dx.doi.org/10.1007/978-1-4471-0363-9_5.

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Richter-Gebert, Jürgen, and Ulrich H. Kortenkamp. "Interactive Geometry with Cinderella." In The Cinderella.2 Manual. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-540-34926-6_4.

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Gergelitsová, Šárka, and Tomáš Holan. "Spatial Orientation and 3D Geometry." In Interactive Collaborative Learning. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50340-0_25.

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Carlson, Jerry S., and Karl Heinz Wiedl. "The Dynamic Assessment of Intelligence." In Interactive Assessment. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4612-4392-2_6.

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Parlar, Mahmut. "Dynamic Programming." In Interactive Operations Research with Maple. Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1356-7_6.

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Symanzik, Jürgen. "Interactive and Dynamic Graphics." In Handbook of Computational Statistics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21551-3_12.

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Conference papers on the topic "Dynamic and Interactive geometry"

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Li, Qian, Yuanyuan Liu, Hong Xu, Lei Ren, and Cuixia Ma. "An Intelligent Interactive Pen-based Whiteboard for Dynamic Geometry Teaching." In 2007 First IEEE International Symposium on Information Technologies and Applications in Education. IEEE, 2007. http://dx.doi.org/10.1109/isitae.2007.4409312.

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Fernandes, Hilaire, Stephane Ducasse, and Thibault Carron. "DR. GEO II: Adding Interactivity Planes in Interactive Dynamic Geometry." In Fifth International Conference on Creating, Connecting and Collaborating through Computing (C5 '07). IEEE, 2007. http://dx.doi.org/10.1109/c5.2007.12.

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Bagher, Mahdi M., Cyril Soler, Kartic Subr, Laurent Belcour, and Nicolas Holzschuch. "Interactive rendering of acquired materials on dynamic geometry using bandwidth prediction." In the ACM SIGGRAPH Symposium. ACM Press, 2012. http://dx.doi.org/10.1145/2159616.2159637.

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Betti, R., V. N. Goncharov, R. L. McCrory, and C. P. Verdon. "Feedthrough and dynamic stabilization in convergent geometry." In LASER INTERACTION AND RELATED PLASMA PHENOMENA. ASCE, 1997. http://dx.doi.org/10.1063/1.53551.

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Markechova, Iveta, Hana Stupalova, and Dominika Jurovata. "Physics & geometry: An unique optics for introductory dynamical systems knowledge." In 2012 15th International Conference on Interactive Collaborative Learning (ICL). IEEE, 2012. http://dx.doi.org/10.1109/icl.2012.6402205.

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Todd, Philip H. "A Constructive Variational Geometry Based Mechanism Design Software Package." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0306.

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Abstract This paper describes the design and implementation of a variational geometry based mechanism design and analysis software package. A new, constructive approach to variational geometry allows positions and their derivatives to be computed using closed form expressions rather than an iterative procedure. This facilitates an interactive kinematics model. Statics and dynamics capabilities are added by means of the principle of least work and d’Alambert’s principle. Examples are presented which highlight the flexibility and ease of use of the system.
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Zou, Shangyan, and Ossama Abdelkhalik. "Numerical Wave Tank Simulation of a Variable Geometry Wave Energy Converter." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18802.

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Abstract This paper presents a high-fidelity numerical wave tank simulation for Variable Geometry Wave Energy Converters (VG-WECs). Typically, wave energy converters require reactive power to optimize the energy conversion, which significantly jeopardizes the economic index of the system. The proposed VGWECs allows comprehensive shape-changing not only in response to ocean climate but also to reduce the reactive power requirements on the power take-off (PTO) unit. This design aims at eliminating reactive power with minimal impact on optimality in terms of energy production. To investigate the
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Ka¨rna¨, Tuomo, Kari Kolari, Peter Jochmann, et al. "Tests on Dynamic Ice-Structure Interaction." In ASME 2003 22nd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2003. http://dx.doi.org/10.1115/omae2003-37397.

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This paper addresses the problem of ice induced vibration of offshore structures. Compliant structures having vertical ice walls may suffer from very severe vibrations. Several theories have been proposed to predict these vibrations. However, physical details of this phenomenon are not fully understood. Conical structures are deemed to be less sensitive to vibrations. Recent full-scale measurements made in the Bohai Bay indicate that also these structures my experience excessive vibrations caused by ice. Indentation tests were done at the ARCTEC laboratory at the Hamburg Ship Model Basin, Hamb
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Shorr, Michael J., and Steven Y. Liang. "Dynamic Stability Analysis for Multi-Flute End Milling." 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/detc1995-0586.

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Abstract This research discusses the methodology of developing a symbolic closed form solution that describes the dynamic stability of multi-flute end milling. A solution of this nature facilitates machine tool design, machining parameter planning, process monitoring, diagnostics, and control. This study establishes a compliance feedback model that describes the dynamic behavior of regenerative chatter for multi-flute tool-work interaction. The model formulates the machining dynamics based upon the interconnecting relationship of the tool geometry convolution and the machining system complianc
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Shabliy, L. S., and A. V. Cherniaev. "Optimization of Compressor Blade Geometry for Efficiency and Pressure Ratio Under Strength Constraint." In ASME 2014 Gas Turbine India Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gtindia2014-8132.

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The article describes an example of design optimizing of gas turbine compressor blade row with coupled simulation (coupled gas dynamics and strength) using technology of fluid-structure-interaction simulation by ANSYS tools. Geometry model, gas-dynamic model, finite element model and optimization technology used in work are described in detail. Optimized design parameters obtained showed improvements of 8% in efficiency and 7% in pressure ratio over the baseline compressor without decrease in safety factor.
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Reports on the topic "Dynamic and Interactive geometry"

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Emsley, Howard T. I3G VIRGO Interactive Graphics for Geometry Generation and Visual Interactive Rapid Grid Generation. User's Manual. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada226117.

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Buttrey, Samuel E., and Gordon H. Bradley. Dynamic, Interactive Statistical Research Papers on the Web. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada338703.

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Moon, Hyungsik Roger, and Martin Weidner. Dynamic linear panel regression models with interactive fixed effects. IFS, 2013. http://dx.doi.org/10.1920/wp.cem.2013.6313.

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Moon, Hyungsik Roger, and Martin Weidner. Dynamic linear panel regression models with interactive fixed effects. IFS, 2014. http://dx.doi.org/10.1920/wp.cem.2014.4714.

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Emsley, Howard T. I3G VIRGO The Interactive Graphics for Geometry Generation Program and the Visual Interactive Rapid Grid Generation Program (User's Manual). Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada238837.

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Saniee, Iraj, and Onuttom Narayan. Geometry of Dynamic Large Networks: A Scaling and Renormalization Group Approach. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada595914.

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Moon, Hyungsik Roger, Nayoung Lee, and Martin Weidner. Analysis of interactive fixed effects dynamic linear panel regression with measurement error. Institute for Fiscal Studies, 2011. http://dx.doi.org/10.1920/wp.cem.2011.3711.

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Rockmore, Daniel. Dynamic Information Networks: Geometry, Topology and Statistical Learning for the Articulation of Structure. Defense Technical Information Center, 2015. http://dx.doi.org/10.21236/ada624183.

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Garagic, Denis. Fast Interactive Integrated Modeling and Strategy Design (FASTIMS) - The Dynamic Pathways Agent-Based Model. Defense Technical Information Center, 2008. http://dx.doi.org/10.21236/ada485336.

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Bianchi, Marcus, Sumanjeet Kaur, and Nelson James. 2019 Workshop on Fundamental Needs for Dynamic and Interactive Thermal Storage Solutions for Buildings. Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1665781.

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