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Journal articles on the topic 'Euler diagram'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Flower, J., A. Fish, and J. Howse. "Euler diagram generation." Journal of Visual Languages & Computing 19, no. 6 (2008): 675–94. http://dx.doi.org/10.1016/j.jvlc.2008.01.004.

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2

Stapleton, Gem, Judith Masthoff, Jean Flower, Andrew Fish, and Jane Southern. "Automated Theorem Proving in Euler Diagram Systems." Journal of Automated Reasoning 39, no. 4 (2007): 431–70. http://dx.doi.org/10.1007/s10817-007-9069-y.

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3

Kharazishvili, Alexander, and Tengiz Tetunashvili. "On Some Combinatorial Problems Concerning Geometrical Realizations of Finite and Infinite Families of Sets." gmj 15, no. 4 (2008): 665–75. http://dx.doi.org/10.1515/gmj.2008.665.

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Abstract A version of the precise definition of Euler–Venn diagram for a given family of subsets of a universal set is presented. Certain geometrical properties of such diagrams are discussed and close connections with purely combinatorial problems and with the theory of convex sets are indicated. In particular, some geometrical realizations of uncountable independent families of sets are considered.

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Stapleton, Gem, John Howse, and Peter Rodgers. "A graph theoretic approach to general Euler diagram drawing." Theoretical Computer Science 411, no. 1 (2010): 91–112. http://dx.doi.org/10.1016/j.tcs.2009.09.005.

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Fish, Andrew, and John Taylor. "Equivalences in Euler-based diagram systems through normal forms." LMS Journal of Computation and Mathematics 17, no. 1 (2014): 431–84. http://dx.doi.org/10.1112/s1461157014000114.

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AbstractThe form of information presented can influence its utility for the conveying of knowledge by affecting an interpreter’s ability to reason with the information. There are distinct types of representational systems (for example, symbolic versus diagrammatic logics), various sub-systems (for example, propositional versus predicate logics), and even within a single representational system there may be different means of expressing the same piece of information content. Thus, to display information, choices must be made between its different representations, depending upon many factors suc

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Cordasco, Gennaro, Rosario De Chiara, and Andrew Fish. "Efficient on-line algorithms for Euler diagram region computation." Computational Geometry 44, no. 1 (2011): 52–68. http://dx.doi.org/10.1016/j.comgeo.2010.07.003.

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Frohman, Charles, and Joanna Kania-Bartoszynska. "Dehn’s algorithm for simple diagrams." Journal of Knot Theory and Its Ramifications 24, no. 14 (2015): 1550074. http://dx.doi.org/10.1142/s0218216515500741.

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Dehn gave an algorithm for deciding if two cyclic words in the standard presentation of the fundamental group of a closed oriented surface of positive genus represent the same conjugacy class. A simple diagram on a surface is a disjoint union of simple closed curves none of which bound a disk. If [Formula: see text] is a once punctured closed surface of negative Euler characteristic, simple diagrams are classified up to isotopy by their geometric intersection numbers with the edges of an ideal triangulation of [Formula: see text]. Simple diagrams on the unpunctured surface [Formula: see text]

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KAUFMANN, RALPH M. "THE TENSOR PRODUCT IN THE THEORY OF FROBENNIUS MANIFOLDS." International Journal of Mathematics 10, no. 02 (1999): 159–206. http://dx.doi.org/10.1142/s0129167x99000070.

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We introduce the operation of forming the tensor product in the theory of analytic Frobenius manifolds. Building on the results for formal Frobenius manifolds which we extend to the additional structures of Euler fields and flat identities, we prove that the tensor product of pointed germs of Frobenius manifolds exists. Furthermore, we define the notion of a tensor product diagram of Frobenius manifolds with factorizable flat identity and prove the existence of such a diagram and hence a tensor product Frobenius manifold. These diagrams and manifolds are unique up to equivalence. Finally, we d

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Abreu, Miguel, and Leonardo Macarini. "On the Mean Euler Characteristic of Gorenstein Toric Contact Manifolds." International Mathematics Research Notices 2020, no. 14 (2018): 4465–95. http://dx.doi.org/10.1093/imrn/rny151.

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Abstract We prove that the mean Euler characteristic of a Gorenstein toric contact manifold, that is, a good toric contact manifold with zero 1st Chern class, is equal to half the normalized volume of the corresponding toric diagram and give some applications. A particularly interesting one, obtained using a result of Batyrev and Dais, is the following: twice the mean Euler characteristic of a Gorenstein toric contact manifold is equal to the Euler characteristic of any crepant toric symplectic filling, that is, any toric symplectic filling with zero 1st Chern class.

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Theinchai, Ratchata, Siriwan Chankan, and Weera Yukunthorn. "Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam." International Journal of Mathematics and Mathematical Sciences 2016 (2016): 1–5. http://dx.doi.org/10.1155/2016/5052194.

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We investigate semianalytical solutions of Euler-Bernoulli beam equation by using Laplace transform and Adomian decomposition method (LADM). The deformation of a uniform flexible cantilever beam is formulated to initial value problems. We separate the problems into 2 cases: integer order for small deformation and fractional order for large deformation. The numerical results show the approximated solutions of deflection curve, moment diagram, and shear diagram of the presented method.

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11

Liping Li, Tao He, and Jiaqi Wu. "Automatic Test Generation from UML Statechart Diagram Based on Euler circuit." International Journal of Digital Content Technology and its Applications 6, no. 19 (2012): 129–36. http://dx.doi.org/10.4156/jdcta.vol6.issue19.17.

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12

Luz, Saturnino, and Masood Masoodian. "A comparison of linear and mosaic diagrams for set visualization." Information Visualization 18, no. 3 (2018): 297–310. http://dx.doi.org/10.1177/1473871618754343.

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Linear diagrams have been shown to compare favourably to better known forms of set visualization, such as Venn and Euler diagrams, in supporting non-interactive assessment of set relationships. Recent studies that compared several variants of linear diagrams have demonstrated that users perform best at tasks involving identification of intersections, disjointness and subsets when using a horizontally drawn linear diagram with thin lines representing sets and employing vertical lines as guide lines. The essential visual task the user needs to perform in order to interpret this kind of diagram i

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13

Mironova, Yu. "Generalized Euler-Venn Diagrams for Fuzzy Sets." Geometry & Graphics 7, no. 4 (2020): 34–43. http://dx.doi.org/10.12737/2308-4898-2020-34-43.

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The fuzzy set concept is often used in solution of problems in which the initial data is difficult or impossible to represent in the form of specific numbers or sets. Geo-information objects are distinguished by their uncertainty, their characteristics are often vague and have some error. Therefore, in the study of such objects is introduced the concept of "fuzziness" — fuzzy sets, fuzzy logic, linguistic variables, etc. The fuzzy set concept is given in the form of membership function. An ordinary set is a special case of a fuzzy one. If we consider a fuzzy object on the map, for example, a l

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Oh, Solgil, Sujin Yoo, Yuri Kim, Jisoo Song, and Seongbin Park. "Implementation of a System That Helps Novice Users Work with Linked Data." Electronics 10, no. 11 (2021): 1237. http://dx.doi.org/10.3390/electronics10111237.

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On the Semantic Web, resources are connected to each other by the IRI. As the basic unit is comprised of linked data, machines can use semantic data and reason their relations without additional intervention on the Semantic Web. However, it is necessary for users who first encounter the Semantic Web to understand its underlying structure and some grammatical rules. This study suggests linking data sets of the Semantic Web through the Euler diagram, which does not require any prior knowledge. We performed a user study with our relationship-building system and verified that users could better un

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Kimpton, Anthony. "Upset diagrams for examining whether parking maximums influence modal choice and car holdings." Environment and Planning A: Economy and Space 52, no. 6 (2019): 1023–26. http://dx.doi.org/10.1177/0308518x19890871.

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Venn and Euler diagrams can provide researchers and practitioners with a quick visual summary of information that is relevant for evaluating policy, but given that the potential number of intersections grows exponentially relative to sets of information (2 n – 1), diagrams featuring more than three sets of information are typically difficult to interpret from a two-dimensional medium (i.e. reports or articles). In contrast, upset diagrams arrange sets and intersections on a matrix. Thus, the potential number of intersections grows linearly, and further information (e.g. histograms and boxplots

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16

Cheng, Yixuan, Qiong Zhang, Pan Jiang, Kaidi Zhang, and Wei Wei. "Investigation of Plume Offset Characteristics in Bubble Columns by Euler–Euler Simulation." Processes 8, no. 7 (2020): 795. http://dx.doi.org/10.3390/pr8070795.

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Based on low-cost and easy to enlarge, the bubble column device has been widely concerned in chemical industry. This paper focuses on bubble plumes in laboratory-scale three-dimensional rectangular air-water columns. Static behavior has been investigated in many experiments and simulations, and our present investigations consider the dynamic behavior of bubble plume offset in three dimensions. The investigations are conducted with a set of closure models by the Euler–Euler approach, and subsequently, literature data for rectangular bubble columns are analyzed for comparison purposes. Moreover,

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17

SAEKI, OSAMU, and YASUSHI TAKEDA. "SURFACE LINKS AND THEIR GENERIC PLANAR PROJECTIONS." Journal of Knot Theory and Its Ramifications 18, no. 01 (2009): 41–66. http://dx.doi.org/10.1142/s0218216509006847.

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We often study surface links in 4-space by using their projections into 3-space, or their broken surface diagrams. It is well-known that a broken surface diagram recovers the given surface link. In this paper, we study surface links in 4-space by using their generic projections into the plane. These projections have fold points and cusps as their singularities in general. We consider the question whether such a generic planar projection can recover the given surface link. We introduce the notion of banded braids, and show that a generic planar projection together with banded braids associated

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18

TRALDI, LORENZO. "A BRACKET POLYNOMIAL FOR GRAPHS, II: LINKS, EULER CIRCUITS AND MARKED GRAPHS." Journal of Knot Theory and Its Ramifications 19, no. 04 (2010): 547–86. http://dx.doi.org/10.1142/s0218216510007978.

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Let D be an oriented classical or virtual link diagram with directed universe [Formula: see text]. Let C denote a set of directed Euler circuits, one in each connected component of U. There is then an associated looped interlacement graph [Formula: see text] whose construction involves very little geometric information about the way D is drawn in the plane; consequently [Formula: see text] is different from other combinatorial structures associated with classical link diagrams, like the checkerboard graph, which can be difficult to extend to arbitrary virtual links. [Formula: see text] is dete

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TRALDI, LORENZO. "A BRACKET POLYNOMIAL FOR GRAPHS, IV: UNDIRECTED EULER CIRCUITS, GRAPH-LINKS AND MULTIPLY MARKED GRAPHS." Journal of Knot Theory and Its Ramifications 20, no. 08 (2011): 1093–128. http://dx.doi.org/10.1142/s0218216511009157.

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In earlier work we introduced the graph bracket polynomial of graphs with marked vertices, motivated by the fact that the Kauffman bracket of a link diagram D is determined by a looped, marked version of the interlacement graph associated to a directed Euler system of the universe graph of D. Here we extend the graph bracket to graphs whose vertices may carry different kinds of marks, and we show how multiply marked graphs encode interlacement with respect to arbitrary (undirected) Euler systems. The extended machinery brings together the earlier version and the graph-links of Ilyutko and Mant

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20

Ignatchenko, Vladimir, Alexandr Ignatchenko, Ankit Sinha, Paul C. Boutros, and Thomas Kislinger. "VennDIS: A JavaFX-based Venn and Euler diagram software to generate publication quality figures." PROTEOMICS 15, no. 7 (2015): 1239–44. http://dx.doi.org/10.1002/pmic.201400320.

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21

DANCER, E. N., and S. P. HASTINGS. "On the global bifurcation diagram for the one-dimensional Ginzburg–Landau model of superconductivity." European Journal of Applied Mathematics 11, no. 3 (2000): 271–91. http://dx.doi.org/10.1017/s0956792599004088.

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Some new global results are given about solutions to the boundary value problem for the Euler–Lagrange equations for the Ginzburg–Landau model of a one-dimensional superconductor. The main advance is a proof that in some parameter range there is a branch of asymmetric solutions connecting the branch of symmetric solutions to the normal state. Also, simplified proofs are presented for some local bifurcation results of Bolley and Helffer. These proofs require no detailed asymptotics for solution of the linear equations. Finally, an error in Odeh's work on this problem is discussed.

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22

KADIVAR, ERFAN, and SHAHRAM AHMADI DARANI. "WETTING AND PREWETTING PHENOMENA IN NEMATIC LIQUID CRYSTAL DISK-LIKE DROPLET." Surface Review and Letters 26, no. 04 (2019): 1850171. http://dx.doi.org/10.1142/s0218625x18501718.

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We present a theoretical investigation of wetting and prewetting phenomena in a nematic-disk like droplet under a concentric anchoring configuration. Our theoretical model is based on Landau–de Gennes free energy together with a quadratic surface energy. By using the Maxwell construction, we numerically solve the Euler–Lagrange differential equation. The occurrence of boundary layer transition is summarized in the phase diagram scanned by temperature and surface potential. We find that prewetting phenomenon disappear below a critical droplet size and critical temperature.

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23

Dowlin, Nathan. "The knot Floer cube of resolutions and the composition product." Journal of Knot Theory and Its Ramifications 29, no. 03 (2020): 2050006. http://dx.doi.org/10.1142/s0218216520500066.

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We examine the relationship between the oriented cube of resolutions for knot Floer homology and HOMFLY-PT homology. By using a filtration induced by additional basepoints on the Heegaard diagram for a knot [Formula: see text], we see that the filtered complex decomposes as a direct sum of HOMFLY-PT complexes of various subdiagrams. Applying Jaeger’s composition product formula for knot polynomials, we deduce that the graded Euler characteristic of this direct sum is the HOMFLY-PT polynomial of [Formula: see text].

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24

Bhatnagar, R. M. "Recoil motion theorem." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 219, no. 2 (2005): 173–76. http://dx.doi.org/10.1243/146441905x10032.

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The recoil system of a gun system is essentially a critically damped system to absorb the recoil force. Light weight and optimum bulk of an artillery gun system can be achieved if the recoil force and recoil length of the gun system are simultaneously minimized. This can be achieved if the perimeter of the recoil travel diagram is minimum. The theorem presented and proved in this short note seeks to elucidate this principle. The proof of the theorem has been developed by using the metric tensor approach to derive the equation of geodesics using the Euler or Lagrange equation in Riemann space.

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25

Ran, Jie, Yuqin Li, and Changchun Wang. "Chaos and Complexity Analysis of a Discrete Permanent-Magnet Synchronous Motor System." Complexity 2018 (December 2, 2018): 1–8. http://dx.doi.org/10.1155/2018/7961214.

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In this paper, a spectral entropy algorithm has been used successfully for complexity measure of a discrete permanent-magnet synchronous motor (PMSM) system. Firstly, the discrete PMSM system is achieved using the forward Euler scheme. Secondly, by adopting the bifurcation diagram, phase portraits, 0-1 test, and largest Lyapunov exponent, the chaotic dynamics of the discrete PMSM system are analyzed. The complexity of the discrete PMSM system is discussed by employing the spectral entropy algorithm. It shows that the spectral entropy complexity analysis is an efficient tool to study chaotic dy

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26

Mehditabar, Aref, Saeid Ansari Sadrabadi, Raffaele Sepe, Enrico Armentani, Jason Walker, and Roberto Citarella. "Influences of Material Variations of Functionally Graded Pipe on the Bree Diagram." Applied Sciences 10, no. 8 (2020): 2936. http://dx.doi.org/10.3390/app10082936.

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The present research is concerned with the elastic–plastic responses of functionally graded material (FGM) pipe, undergoing two types of loading conditions. For the first case, the FGM is subjected to sustained internal pressure combined with a cyclic bending moment whereas, in the second case, sustained internal pressure is applied simultaneously with a cyclic through-thickness temperature gradient. The properties of the studied FGM are considered to be variable through shell thickness according to a power-law function. Two different designs of the FGM pipe are adopted in the present research

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Qian, Youhua, and Wenjing Meng. "Mixed-Mode Oscillation in a Class of Delayed Feedback System and Multistability Dynamic Response." Complexity 2020 (February 6, 2020): 1–18. http://dx.doi.org/10.1155/2020/4871068.

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In this paper, a class of two-parameter mixed-mode oscillation with time delay under the action of amplitude modulation is studied. The investigation is from four aspects. Firstly, a parametric equation is considered as a slow variable. By the time-history diagram and phase diagram, we can find that the system generates a cluster discovery image. Secondly, the Euler method is used to discrete the system and obtain the discrete equation. Thirdly, the dynamic characteristics of the system at different time scales are discussed when the ratio of the natural frequency and the excitation frequency

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Yu, Runqing, Diandian Zhang, Li Chen, and Haichun Yan. "Non-dimensional pressure–impulse diagrams for blast-loaded reinforced concrete beam columns referred to different failure modes." Advances in Structural Engineering 21, no. 14 (2018): 2114–29. http://dx.doi.org/10.1177/1369433218768085.

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The pressure–impulse diagram is commonly used to assess the damage level of structural components under explosion. Non-dimensional pressure–impulse diagrams referred to different failure modes was obtained using a new methodology in this article. Nine non-dimensional key parameters were first proposed on basis of the Euler beam theory. Considering the shear failure, an elastic–plastic method to calculate the dynamic response of reinforced concrete beam columns was then proposed for different failure modes. Three failure categories, for example, bending failure, shear failure, and combined shea

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29

Ning, Jianguo, Xinpeng Yuan, Tianbao Ma, and Jian Li. "Parallel Pseudo Arc-Length Moving Mesh Schemes for Multidimensional Detonation." Scientific Programming 2017 (2017): 1–17. http://dx.doi.org/10.1155/2017/5896940.

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We have discussed the multidimensional parallel computation for pseudo arc-length moving mesh schemes, and the schemes can be used to capture the strong discontinuity for multidimensional detonations. Different from the traditional Euler numerical schemes, the problems of parallel schemes for pseudo arc-length moving mesh schemes include diagonal processor communications and mesh point communications, which are illustrated by the schematic diagram and key pseudocodes. Finally, the numerical examples are given to show that the pseudo arc-length moving mesh schemes are second-order convergent an

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30

Luo, W. J., and R. J. Yang. "Flow Bifurcation and Transition in a Gap Between Two-Rotating Spheres." Journal of Mechanics 20, no. 2 (2004): 95–105. http://dx.doi.org/10.1017/s1727719100003312.

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AbstractThis study investigates the flow bifurcation and transition between stable states in the gap between two concentric rotating spheres. A continuation method is used together with linear stability analysis to investigate the bifurcation structure of the discretized governing equations and to determine the stability of the calculated states. The constructed bifurcation diagram is used to illustrate the restricted range of Reynolds number within which each equilibrium state exists. The diagram also identifies the permissible transitions between these states and indicates their terminative

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Qian, Y. H., and D. M. Yan. "Fast–Slow Dynamics Analysis of a Coupled Duffing System with Periodic Excitation." International Journal of Bifurcation and Chaos 28, no. 12 (2018): 1850148. http://dx.doi.org/10.1142/s0218127418501481.

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In this paper, a two-degree-of-freedom nonlinear coupled Duffing equation with an external excitation and two external excitations are studied. For the coupled Duffing system with periodic excitation, the system shows the dynamic behavior on different time scales when the excitation frequency and the inherent frequency of the system are different. Firstly, we discretize the system by using the Euler method, and the discrete equation is obtained. Secondly, the two external excitations are considered as slow variables that are transformed into a slow variable by the Moivre formula, which divides

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32

Onsorynezhad, Saeed, Amin Abedini, and Fengxia Wang. "Parametric optimization of a frequency-up-conversion piezoelectric harvester via discontinuous analysis." Journal of Vibration and Control 26, no. 15-16 (2020): 1241–52. http://dx.doi.org/10.1177/1077546319894797.

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In this study, the dynamical and electrical behaviors of an impact-based frequency-up-conversion energy harvester were studied based on discontinuous dynamics theory. This analytical study enables us to better understand the response of an impact-based frequency-up-conversion energy harvester as system parameters change, hence, guiding us to design a high-efficiency energy harvester via optimizing the values of the critical parameters of the system. For a given base excitation, the optimum gap to maximize the output power was obtained. The energy harvester consists of a sinusoidal vibrating pi

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Fossa, John Andrew. "Aspectos da Lógica de Leonhard Euler/Aspects of Leonhard Euler´s Logic." Pensando - Revista de Filosofia 6, no. 12 (2015): 214. http://dx.doi.org/10.26694/pensando.v6i12.3182.

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Investigamos a lógica de Leonhard Euler com ênfase no papel dos “diagramas de Euler”. Concluímos que os referidos diagramas constituem um instrumento intuitivo, embora não sistemático, para determinar validade na silogística tradicional, isto é, a silogística munida de implicações conversacionais (importância existencial). Nisto, contrastam-se com os diagramas de Venn que constituem um instrumento sistemático, porém menos intuitivo, para determinar validade numa silogística mais voltada para os fundamentos da matemática moderna.Abstract: We investigate the logic of Leonhard Euler, giving empha

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34

Fiedler, Thomas. "Triple points of unknotting discs and the Arf invariant of knots." Mathematical Proceedings of the Cambridge Philosophical Society 116, no. 1 (1994): 119–29. http://dx.doi.org/10.1017/s0305004100072418.

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AbstractAn unknotting disc is the ‘trace’ in ℝ4 of a homotopy of a diagram of a knot in ℝ3, which shrinks the diagram to a point. In this paper we study unknotting discs which have as singularities only ordinary triple points. It turns out that the Arf invariant of the knot is determined by the number of triple points in which all three branches of the disc intersect pairwise with the same index. We call such a triple point coherent. This interpretation of the Arf invariant has a surprising consequence:Let S ⊂ ℝ4 be a taut immersed sphere which has as singularities only ordinary triple points.

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Cardei, Petru, Raluca Sfiru, and Vergil Muraru. "A mathematical model for the accumulation of fatigue in bars subjected to lateral vibrations." E3S Web of Conferences 112 (2019): 03002. http://dx.doi.org/10.1051/e3sconf/201911203002.

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The article presents a mathematical model for the phenomenon of fatigue accumulation in the slender bar subjected to lateral bending. The model is based on the Euler-Bernoulli type bar, a bi-linear elastic-plastic model and, for simulation of fatigue, a system of equations describing the decrease resistance parameters of the material: the ultimate strain and stress. In the article is exposes the bar response to two types of dynamic loads, as well as a fatigue test simulating process using the proposed model, which results in the Wöhler diagram of the material for the bending vibrations. The co

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Posmetev, Valeriy, Vadim Nikonov, Viktor Posmetev, and Vladimir Zelikov. "COMPUTER SIMULATION RESULTS OF FUNCTIONING OF THE PNEUMATIC SUBSYSTEM OF RECOVERABLE HYDRAULIC DRIVE OF A FOREST TRUCK WITH A SEMI-TRAILER." Forestry Engineering Journal 10, no. 1 (2020): 233–43. http://dx.doi.org/10.34220/issn.2222-7962/2020.1/17.

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The relevance of developing new devices for accumulation and conversion of compressed air energy in a regenerative hydraulic drive of a timber truck with a semitrailer has been substantiated. The layout of recuperative mechanisms on a timber tractor with a semitrailer and the diagram of a recuperative hydraulic drive with subsystems for accumulating and converting compressed air energy are presented. A simplified diagram of a pneumatic energy-saving system for studying the functioning of the subsystems of accumulation and energy conversion of compressed air is presented. A mathematical model h

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Au, David W., Susan E. Smith, and Christina Show. "New abbreviated calculation for measuring intrinsic rebound potential in exploited fish populations — example for sharks." Canadian Journal of Fisheries and Aquatic Sciences 72, no. 5 (2015): 767–73. http://dx.doi.org/10.1139/cjfas-2014-0360.

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Intrinsic rebound potential, the demographic measure of a fish population’s productivity that sustains a given mortality, relates to a species’ resiliency and can be useful for understanding and evaluating the status of exploited populations, especially those poorly monitored and of low productivity, like many shark populations. The rebound potential is derived from the Euler–Lotka equation and, with the dynamics kept simple, is easily calculated for a given total mortality, needing only a species’ age at maturity and its natural mortality (M). Its value can be quickly read from an isopleth di

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38

Gil, Francisco, and Andrés Vivas. "Solution to the Anti-aircraft Fire Control Problem on a Naval Platform Using the Direct Geometric Model." Ciencia y tecnología de buques 8, no. 16 (2015): 43. http://dx.doi.org/10.25043/19098642.110.

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To find the kinematic model in applications different from robotics, the free-body diagram and coordinateconversion using Euler angles is frequently used. In robotics the Khalil-Kleinfinger (1986) method is used(and others), which allows coordinate conversions over several joints. In this paper a new application ofthis method to solve the fire control problem of a naval anti aircraft gun is proposed. To demonstrate theapplication a virtual model is built using Virtual Reality Modeling Language (VRML) and controlledby Matlab Simulink®. From the direct geometric model the solution of the problem

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Araghizadeh, MS, MH Djavareshkian, and J. Rezaeepazhand. "Simulating aeroelastic response of a self-sustained oscillating rigid airfoil using a boundary oscillation method." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 234, no. 11 (2020): 1811–24. http://dx.doi.org/10.1177/0954410020919622.

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The present study presents a new nonlinear unsteady aerodynamic model to investigate the aeroelastic behavior of a self-sustained oscillating rigid airfoil. Here the unsteady Euler equations are considered simulating inviscid compressible transonic flow over an oscillating airfoil. In regard to providing boundedness criteria, a high-order technique based on a normalized variable diagram scheme has been presented. Since using dynamic mesh for simulating flow over a dynamic airfoil is too complex and requires many computational efforts, the current paper proposes a nonorthogonal and static mesh

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Rezaei DA, Hojjat, Mahmoud Kadkhodaei, and Hassan Nahvi. "Analysis of nonlinear free vibration and damping of a clamped–clamped beam with embedded prestrained shape memory alloy wires." Journal of Intelligent Material Systems and Structures 23, no. 10 (2012): 1107–17. http://dx.doi.org/10.1177/1045389x12441509.

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Nonlinear free vibration and damping of a clamped–clamped composite beam containing shape memory alloy wires with different prestrains embedded in the midsurface are investigated. The constitutive relations of shape memory alloy are considered in the large deflection response of the elastic Euler–Bernoulli beam, and Hamilton’s principle is used to derive differential equation of the beam motion with extensible midplane. Considering midplane stretching due to tension in the shape memory alloy wires provides an ability to model damping in a nonlinear analysis although there is no distinct dampin

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Akers, Benjamin F., David M. Ambrose, and J. Douglas Wright. "Gravity perturbed Crapper waves." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2161 (2014): 20130526. http://dx.doi.org/10.1098/rspa.2013.0526.

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Crapper waves are a family of exact periodic travelling wave solutions of the free-surface irrotational incompressible Euler equations; these are pure capillary waves, meaning that surface tension is accounted for, but gravity is neglected. For certain parameter values, Crapper waves are known to have multi-valued height. Using the implicit function theorem, we prove that any of the Crapper waves can be perturbed by the effect of gravity, yielding the existence of gravity–capillary waves nearby to the Crapper waves. This result implies the existence of travelling gravity–capillary waves with m

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CAO, HONGJUN, CAIXIA WANG, and MIGUEL A. F. SANJUÁN. "EFFECT OF STEP SIZE ON BIFURCATIONS AND CHAOS OF A MAP-BASED BVP OSCILLATOR." International Journal of Bifurcation and Chaos 20, no. 06 (2010): 1789–95. http://dx.doi.org/10.1142/s0218127410026836.

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The continuous Bonhoeffer–van der Pol (BVP for short) oscillator is transformed into a map-based BVP model by using the forward Euler scheme. At first, the bifurcations and chaos of the map-based BVP model are investigated when the step size varies as a bifurcation parameter. By using the fast-slow decomposition technique, a two-parameter bifurcation diagram is obtained to give insight into the effect of the step size on bifurcations and chaos of the map-based BVP model. The investigation shows that the period-doubling bifurcation is dependent on the step size, while the saddle-node bifurcatio

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Yuhuan, Zhang, Ren Yongsheng, Tian jishuang, and Ma jingmin. "Chatter stability of the constrained layer damping composite boring bar in cutting process." Journal of Vibration and Control 25, no. 16 (2019): 2204–14. http://dx.doi.org/10.1177/1077546319852240.

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Traditional boring bars are generally made up of isotropic metallic materials and exhibit extremely poor chatter suppression ability. For enhancing the chatter stability, using anisotropic composite materials in the preparation of boring bars proves to be an effective method so as to enhance the boring bar’s natural frequency and damping. Additionally, the addition of constrained layer damping (CLD) technology on the composite boring bar can further improve the damping performance. This study aims to develop a theoretical analysis model for the prediction of the chatter stability of the CLD co

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Binder, Moritz, Alexandre Gaspar Maia, Ryan M. Carr, et al. "Distal Enhancer Elements in ASXL1-Mutant Chronic Myelomonocytic Leukemia." Blood 134, Supplement_1 (2019): 2981. http://dx.doi.org/10.1182/blood-2019-124917.

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Introduction: Additional Sex Combs-Like 1 (ASXL1) is a chromatin modifier frequently affected by truncating mutations in myeloid malignancies. These mutations are associated with poor survival outcomes and increased rates of acute leukemic transformation. In chronic myelomonocytic leukemia (CMML), ASXL1 mutations are thought to affect transcriptional activity mainly by modifying histone marks, however additional epigenomic mechanisms have not been fully explored. We interrogated the epigenome of patients with ASXL1-mutant (MT) and -wildtype (WT) CMML using a multiomics approach to define cis-r

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Edwards, A. W. F. "Euler Diagrams and Venn Diagrams." Mathematical Intelligencer 28, no. 3 (2006): 3. http://dx.doi.org/10.1007/bf02986874.

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Riche, N. H., and T. Dwyer. "Untangling Euler Diagrams." IEEE Transactions on Visualization and Computer Graphics 16, no. 6 (2010): 1090–99. http://dx.doi.org/10.1109/tvcg.2010.210.

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Adorno, Tiago C., Dmitry M. Gitman, and Anatoly E. Shabad. "Saturation of Energy Levels of the Hydrogen Atom in Strong Magnetic Field." Universe 6, no. 11 (2020): 204. http://dx.doi.org/10.3390/universe6110204.

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We demonstrate that the finiteness of the limiting values of the lower energy levels of a hydrogen atom under an unrestricted growth of the magnetic field, into which this atom is embedded, is achieved already when the vacuum polarization (VP) is calculated in the magnetic field within the approximation of the local action of Euler–Heisenberg. We find that the mechanism for this saturation is different from the one acting, when VP is calculated via the Feynman diagram in the Furry picture. We study the effective potential that appears when the adiabatic (diagonal) approximation is exploited fo

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Moradian, Hossein, Mohammad Hossein Abbasi, and Hamed Moradi. "Adaptive sliding mode control of regenerative chatter and stability improvement in boring manufacturing process with model uncertainties." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 6 (2019): 1171–81. http://dx.doi.org/10.1177/0954406219889994.

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In the machining processes, vibration suppression is crucial in order to achieve the high precision as well as high-quality surface and increase of the material removal rate. In this paper, an adaptive sliding mode control approach is presented to supress the chattering phenomenon in the boring process in the presence of model uncertainties and unmodeled dynamics. The boring bar is modeled as a cantilever Euler–Bernoulli beam, which is actuated by a piezo-actuator located at the bar's end. As a more realistic model, the cutting tool is modeled as an added mass at the bar's end. In order to der

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Chiang, Hsiao-Wei D., and R. E. Kielb. "An Analysis System for Blade Forced Response." Journal of Turbomachinery 115, no. 4 (1993): 762–70. http://dx.doi.org/10.1115/1.2929314.

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A frequent cause of turbomachinery blade failure is excessive resonant response. The most common excitation source is the nonuniform flow field generated by inlet distortion, wakes and/or pressure disturbances from adjacent blade rows. The standard method for dealing with this problem is to avoid resonant conditions using a Campbell diagram. Unfortunately, it is impossible to avoid all resonant conditions. Therefore, judgments based on past experience are used to determine the acceptability of the blade design. A new analysis system has been developed to predict blade forced response. The syst

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Abdurakhmonov, Amirshokh Kh. "Numerical analysis of stability of an axially-compressed i-beam rod subjected to constrained torsion." Stroitel stvo nauka i obrazovanie [Construction Science and Education], no. 4 (December 30, 2020): 11–27. http://dx.doi.org/10.22227/2305-5502.2020.4.2.

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Introduction. Today thin-walled structures are widely used in the construction industry. The analysis of their rigidity, strength and stability is a relevant task which is of particular practical interest. The article addresses a method for the numerical analysis of stability of an axially-compressed i-beam rod subjected to the axial force and the bimoment. An axially compressed i-beam rod is the subject of the study. Materials and methods. Femap with NX Nastran were chosen as the analysis toolkit. Axially compressed cantilever steel rods having i-beam profiles and different flexibility values

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