Academic literature on the topic 'Kirchhoff law'

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Journal articles on the topic "Kirchhoff law"

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Ostapenko, V. V., and A. I. Pavlygin. "Linear inequalities for generalized kirchhoff law." Cybernetics and Systems Analysis 33, no. 3 (1997): 420–25. http://dx.doi.org/10.1007/bf02733076.

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Carrillo, J. A., J. Mateu, M. G. Mora, L. Rondi, L. Scardia, and J. Verdera. "The Ellipse Law: Kirchhoff Meets Dislocations." Communications in Mathematical Physics 373, no. 2 (2019): 507–24. http://dx.doi.org/10.1007/s00220-019-03368-w.

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Ostapenko, V. V., and A. I. Pavlygin. "Dynamic network flows for generalized kirchhoff law." Cybernetics and Systems Analysis 32, no. 3 (1996): 393–97. http://dx.doi.org/10.1007/bf02366502.

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Gentle, Adrian P., Arkady Kheyfets, Jonathan R. McDonald, and Warner A. Miller. "A Kirchhoff-like conservation law in Regge calculus." Classical and Quantum Gravity 26, no. 1 (2008): 015005. http://dx.doi.org/10.1088/0264-9381/26/1/015005.

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Hokstad, Ketil. "Multicomponent Kirchhoff migration." GEOPHYSICS 65, no. 3 (2000): 861–73. http://dx.doi.org/10.1190/1.1444783.

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This paper presents a method for elastic and viscoelastic imaging of multicomponent seismic data. The method is based on Claerbout’s survey‐sinking concept and the (visco)elastic Kirchhoff integral for the displacement field. Assuming a multishot and multireceiver experiment, the migration process is formulated as a wavefield reconstruction problem, using the (visco)elastic Kirchhoff integral twice. First, the receiver coordinates are downward continued. Second, the source coordinates are downward continued. The multicomponent seismic data are treated as a vector wavefield in which the data measurements may be displacement velocity or traction (pressure). The theoretical formulation is based on the viscoelastic Hooke’s law and Newton’s equation of motion as the physical model for seismic wave propagation. It is valid for linear viscoelastic media with any anisotropic symmetry. When the lowest‐order ray approximation is introduced, the migration equation takes a form similar to conventional Kirchhoff migration. To obtain the imaging equations, the downward‐continued wavefield is related to the ray‐Born approximation. Numerical results are shown from elastic imaging of synthetic and real marine walkaway vertical seismic profiling (VSP) data.
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Wang, Xinying, Olamide Timothy Tawose, Feng Yan, and Dongfang Zhao. "HDK: Toward High-Performance Deep-Learning-Based Kirchhoff Analysis." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 01 (2020): 997–1004. http://dx.doi.org/10.1609/aaai.v34i01.5448.

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The Kirchhoff law is one of the most widely used physical laws in many engineering principles, e.g., biomedical engineering, electrical engineering, and computer engineering. One challenge of applying the Kirchhoff law to real-world applications at scale lies in the high, if not prohibitive, computational cost to solve a large number of nonlinear equations. Despite recent advances in leveraging a convolutional neural network (CNN) to estimate the solutions of Kirchhoff equations, the low performance is still significantly hindering the broad adoption of CNN-based approaches. This paper proposes a high-performance deep-learning-based approach for Kirchhoff analysis, namely HDK. HDK employs two techniques to improve the performance: (i) early pruning of unqualified input candidates and (ii) parallelization of forward labelling. To retain high accuracy, HDK also applies various optimizations to the data such as randomized augmentation and dimension reduction. Collectively, the aforementioned techniques improve the analysis speed by 8× with accuracy as high as 99.6%.
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Ostapenko, Valentin V., and Georgiy S. Finin. "Modeling of Water Flow by the Generalized Kirchhoff Law." Journal of Automation and Information Sciences 31, no. 10 (1999): 66–69. http://dx.doi.org/10.1615/jautomatinfscien.v31.i10.90.

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Ries, Harald, and Wolfgang Spirkl. "A generalized Kirchhoff Law for quantum absorption and luminescence." Solar Energy Materials and Solar Cells 38, no. 1-4 (1995): 39–44. http://dx.doi.org/10.1016/0927-0248(94)00213-4.

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Lara, Vitor, and Kaled Dechoum. "Kirchhoff’s voltage law corrected for radiating circuits." Revista Brasileira de Ensino de Física 37, no. 1 (2015): 1307. http://dx.doi.org/10.1590/s1806-11173711651.

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Gama, R. M. S., and R. Pazetto S. Gama. "The Kirchhoff Transformation and the Fick’s Second Law with Concentration-dependent Diffusion Coefficient." WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER 16 (July 8, 2021): 59–67. http://dx.doi.org/10.37394/232012.2021.16.9.

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In this work it is considered the Fick’s second law in a context in which the diffusion coefficient depends on the concentration. It is employed the Kirchhoff transformation in order to simplify the mathematical structure of the Fick’s second law, giving rise to a more convenient description. In order to provide a general protocol, the diffusion coefficient will be assumed a piecewise constant function of the concentration. Exact formulas are presented for both the Kirchhoff transformation and its inverse, in such a way that there is no limit of accuracy. Some numerical examples are presented with the aid of a semi-implicit procedure associated with a finite difference approximation.
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Dissertations / Theses on the topic "Kirchhoff law"

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Bensedik, Ahmed. "Sur quelques problèmes elliptiques de type Kirchhoff et dynamique des fluides." Phd thesis, Université Jean Monnet - Saint-Etienne, 2012. http://tel.archives-ouvertes.fr/tel-00971279.

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Cette thèse est composée de deux parties indépendantes. La première est consacrée à l'étude de quelques problèmes elliptiques de type de Kirchhoff de la forme suivante : -M(ʃΩNul² dx) Δu = f(x, u) xЄΩ ; u(x) = o xЄƋΩ où Ω cRN, N ≥ 2, f une fonction de Carathéodory et M une fonction strictement positive et continue sur R+. Dans le cas où la fonction f est asymptotiquement linéaire à l'infini par rapport à l'inconnue u, on montre, en combinant une technique de troncature et la méthode variationnelle, que le problème admet au moins une solution positive quand la fonction M est non décroissante. Et si f(x, u) = |u|p-1 u + λg(x), où p >0, λ un paramètre réel et g une fonction de classe C1 et changeant de signe sur Ω, alors sous certaines hypothèses sur M, il existe deux réels positifs λ. et λ. tels que le problème admet des solutions positives si 0 < λ <λ. et n'admet pas de solutions positives si λ > λ.. Dans la deuxième partie, on étudie deux problèmes soulevés en dynamique des fluides. Le premier est une généralisation d'un modèle décrivant la propagation unidirectionnelle dispersive des ondes longues dans un milieu à deux fluides. En écrivant le problème sous la forme d'une équation de point fixe, on montre l'existence d'au moins une solution positive. On montre ensuite sa symétrie et son unicité. Le deuxième problème consiste à prouver l'existence de la vitesse, la pression et la température d'un fluide non newtonien, incompressible et non isotherme, occupant un domaine borné, en prenant en compte un terme de convection. L'originalité dans ce travail est que la viscosité du fluide ne dépend pas seulement de la vitesse mais aussi de la température et du module du tenseur des taux de déformations. En se basant sur la notion des opérateurs pseudo-monotones, le théorème de De Rham et celui de point fixe de Schauder, l'existence du triplet, (vitesse, pression, température) est démontré
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Escobar, Vargas Laura Mónica. "Specialized models for the long-term transmission network expansion planning problem /." Ilha Solteira, 2018. http://hdl.handle.net/11449/180548.

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Orientador: Rubén Augusto Romero Lázaro<br>Resumo: A análise de sistemas altamente complexos quando e analizado o problema de planejamento de expansão de redes de transmissão de longo prazo, é o foco principal deste trabalho. Os modelos e metodos propostos são aplicados ao problema de planejamento estático tradicional, que é um problema de otimização matemática classificado como NP-completo, não-linear inteiro misto. O qual envolve no investimento, variáveis operacionais contínuas e variáveis inteiras. O comportamento normal de cada sistema pode conter informação essencial para a criação de novos métodos, como os planos de corte baseados em cortes de diferença de ângulos para problemas de grande escala, o que é a base é o ponto de partida deste trabalho, derivando em desigualdades válidas é ciclos críticos. Os cortes angulares básicos reduzem o espaço de busca do problema e o tempo total de cálculo deste problema, enquanto ao método de inequações válidas que pode ser usado para fornecer limites inferiores sólidos no investimento ótimo do planejamento de transmissão, já que a diferença entre o modelo DC (modelo exato) e o modelo de transporte (modelo mais relaxado) são as restrições angulares. Os ciclos críticos têm sido desenvolvidos para melhoraralguns dos modelos tradicionais do problemas de planejamento da expansão da rede de transmissão de longo prazo. A razão por trás disso é a ausência da segunda lei de Kirchhoff, que completa a representação do sistema, mas aumenta a complexidade. Para resolver os problemas resultantes... (Resumo completo, clicar acesso eletrônico abaixo)<br>Abstract: The analysis of highly complex systems when solving the long-term transmission network expansion planning problem is the main focus of this work. The proposed improved models and methodology are applied to the traditionalstatic planning problem, which is a mathematical optimization problem classified as NP-complete and mixed-integer nonlinear problem. It involves continuousoperating variables and integer investment variables. The normal behavior of each system can be shown essential information to the creation of new methods, as the cutting-planes based in bus-angle difference cuts for large-scale problems which were the starting point of this work, deriving in valid inequalities and critic cycles. The angular cuts aim to reduce the search space of the problem and the total computation time of this NP-hard problem as for the valid inequalities methodthat can be used to provide strong lower bounds on the optimal investment of the transmissionplanning, since the difference between the DC model (exact model) and the transport model (more relaxed model) are the angular constraints. Critic cycles has been develop in order to improve some of the traditional long-term transmission network expansion planning problem models. The reason behind it is the absence of second Kirchhoff’s law which completes the representationof the system, but increase the complexity. In order to solve the resulting problems, this work uses the modeling language AMPL with the solver CPLEX. In test systems w... (Complete abstract click electronic access below)<br>Doutor
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Sampaio, Maria do Socorro Martins. "Análise não linear geométrica de cascas laminadas reforçadas com fibras." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-14032014-153137/.

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Em geral, as formulações disponíveis na literatura para a análise de cascas laminadas reforçadas com fibras substituem o meio original heterogêneo por um homogêneo equivalente, que dificulta a identificação das tensões fibra-matriz, ou requerem que a malha de elementos finitos seja disposta de modo que os nós dos elementos finitos de fibra coincidam com os nós dos elementos finitos de casca, que é uma exigência bastante restritiva e que aumenta o número de graus de liberdade do sistema de equações resultante. Neste sentido, o objetivo geral desta tese consiste em desenvolver uma formulação para a inclusão de fibras longas e curtas aleatórias nas diversas lâminas de cascas laminadas anisotrópicas com não linearidade geométrica utilizando o método dos elementos finitos sem aumentar o número de graus de liberdade do sistema de equações resultante e sem a necessidade de coincidência de nós na discretização das fibras e da matriz. Nesta formulação, o elemento finito triangular de casca laminada utilizado para discretizar a matriz possui dez nós e sete graus de liberdade por nó, sendo três translações, três componentes do vetor generalizado e a taxa de variação linear da deformação ao longo da espessura. As fibras curvas, curtas aleatórias ou longas, são introduzidas, em qualquer camada do laminado, por meio de relações cinemáticas que garantem sua aderência à matriz sem a introdução de novos graus de liberdade no sistema de equações resultante. Para discretizá-las são utilizados elementos finitos unidimensionais de ordem qualquer com três graus de liberdade por nó e que consideram consistentemente a não linearidade geométrica. Todas as grandezas envolvidas são escritas em relação à configuração inicial do corpo, caracterizando a descrição Lagrangeana total ou material do movimento. Para modelar o comportamento do material adota-se a Lei Constitutiva de Saint-Venant-Kirchhoff que relaciona de forma linear o tensor de tensões de Piolla-Kirchhoff de segunda espécie e o tensor de deformações de Green-Lagrange. O equilíbrio é encontrado a partir do Princípio da Mínima Energia Potencial Total e o sistema não linear de equações resultante é resolvido utilizando-se o procedimento iterativo de Newton-Raphson. As ações externas podem ser introduzidas ao sistema de forma total ou incremental e a contribuição das fibras para a energia do sistema é adicionada na matriz global do problema. Os exemplos numéricos testados validam e demonstram as potencialidades da formulação proposta.<br>In general, the Finite Element (FE) formulations available in the literature for the analysis of fibre reinforced laminated shells replace the original heterogeneous medium by an equivalent homogeneous one, which makes difficult the identification of fiber-matrix stress distribution, or require that the finite element mesh is arranged in a way that the fibre finite element nodes coincide with the shell finite element ones, which is a very restrictive requirement and increases the number of degrees of freedom of the resulting system of equations. In this sense, the objective of this thesis is to develop a formulation for the inclusion of long and random short fibres in any layer of FE laminated anisotropic shells developing large displacement and rotations without increasing the number of degrees of freedom and the necessity of matching nodes in the discretization of the fibre and the matrix. In this formulation, the triangular laminated shell finite element used to discretize the matrix has ten nodes and seven degrees of freedom per node, that are, three translations, three components of a generalized vector and the linear rate of strain variation along the thickness. The curved fibres, long or random short, are introduced in any layer of the laminate shell by means of kinematic relation to ensure its adherence to the matrix without introducing new degrees of freedom in the resulting system of equations. To discretize them, any order one-dimensional finite elements with three degrees of freedom per node are used. These fibres elements are consistently considered by Geometric nonlinearity. All involved variables are written with respect to the initial configuration of the body, characterizing the Total Lagrangian description. To model the behavior of the material we use the Saint-VenantKirchhoff Constitutive Law that relates linearly the second Piolla-Kirchhoff stress tensor and Green-Lagrange strain tensor. The equilibrium is achieved from the Principle of Minimum Potential Energy and the non-linear system of equations is solved by the Newton-Raphson iterative procedure. External loads may be introduced to the system by one or various steps and the contribution of fibres to the energy of the system is added to the global matrix of the problem. The numerical examples validate and demonstrate the potential of the proposed formulation.
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Vacossin, Bruno. "Interaction d'un faisceau ultrasonore avec un défaut de dimension finie dans un matériau stratifié anisotrope." Compiègne, 2008. http://www.theses.fr/2008COMP1739.

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On étudie l'interaction entre un faisceau ultrasonore borné monochromatique et une structure stratifiée plane immergée dans un fluide. La structure est composée de deux couches de matériaux élastiques anisotropes. La structure réelle comporte un défaut de collage, de longueur finie, situé sur cette interface interne. L'objectif de l'étude est de proposer une simulation numérique permettant d'apprécier dans quelle mesure l'analyse du faisceau ultrasonore restitué par la structure permet de détecter la présence du défaut. La représentation du faisceau fait appel à une superposition en ondes planes et utilise les transformées de Fourier rapides. L'approximation de Kirchhoff est introduite. On traite ensuite le défaut comme un émetteur passif. Des études numériques sont proposées afin d'apprécier dans quelles situations le défaut pourra être détecté. La génération d'ondes de Lamb peut faciliter cette détection<br>The interaction between an acoustic ultrasonic bounded beam and a multilayered structure immersed in a fluid has been studied. The structure is composed of two anisotropic elastic layers. When the structure is sound, the real structure shows a bonded finite length crack, localised on this internal interface. The aim of this study is to propose a numerical simulation in order to estimate in what extend the analysis of the ultrasonic beam restored by the structure is able to detect the presence of the crack. The representation of the beam uses plane wave decomposition and requires fast Fourier transforms. Kirchhoff’s approximation is introduced. Then the crack is treated as a passive transducer. Numeral studies are proposed in order to estimate in what circumstances crack could be detected. Lamb wave generation could improve the detection
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Books on the topic "Kirchhoff law"

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Farassat, F. The Kirchhoff formulas for moving surfaces in aeroacoustics: The subsonic and supersonic cases. National Aeronautics and Space Administration, Langley Research Center, 1996.

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Kube, Hanno, and Paul Kirchhof. Leitgedanken des Rechts: Paul Kirchhof zum 70. Geburtstag. C.F. Müller, 2013.

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Puhl, Thomas, Paul Kirchhof, Gerd Morgenthaler, and Rudolf Mellinghoff. Die Erneuerung des Verfassungsstaates: Symposion aus Anlass des 60. Geburtstages von Professor Dr. Paul Kirchhof. C.F. Müller, 2003.

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The Kirchhoff formulas for moving surfaces in aeroacoustics: The subsonic and supersonic cases. National Aeronautics and Space Administration, Langley Research Center, 1996.

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Koller, Alois. Kirchhoff's Law. New Age International (P) Ltd., 1989.

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Center, Langley Research, ed. Multipath analysis diffraction calculations. National Aeronautics and Space Administration, Langley Research Center, 1996.

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Multipath analysis diffraction calculations. National Aeronautics and Space Administration, Langley Research Center, 1996.

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Medina Hernández, Andrés. La etnografía y la cuestión nacional en Centroamérica. Una aproximación. Universidad de Ciencias y Artes de Chiapas. Centro de Estudios Superiores de México y Centroamérica, 2019. http://dx.doi.org/10.29043/cesmeca.rep.976.

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La intención de este trabajo es mostrar la importancia de la etnografía y de la historia para un mejor conocimiento de los pueblos indios, en este caso centrándonos en los del istmo centroamericano, y señalando la importancia de distinguir a los pueblos de las dos áreas comprendidas, y definidas por Paul Kirchhoff, Mesoamérica y Circuncaribe, cada una con diferentes características culturales, reflejadas en sus modos de vida, en sus tradiciones históricas y en sus reivindicaciones políticas. Este contraste entre las dos regiones culturales comprendidas se manifestó abiertamente en la lucha de los pueblos de la Costa Atlántica por la autonomía, por un lado, y en la del pueblo maya por su reconocimiento como una fuerza política nacional con sus respectivos derechos referidos a sus especificidades sociales y culturales, por el otro.
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Sherwood, Dennis, and Paul Dalby. Enthalpy and thermochemistry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198782957.003.0006.

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Definition and mathematics of enthalpy. Definition of heat capacity at constant pressure as CP = (∂H/∂T)V. Endothermic and exothermic reactions. Role of the change in enthalpy as regards the direction and spontaneity of a change in state. Enthalpy changes and phase changes. Measuring enthalpy changes by calorimetry. Hess’s law of constant heat formation. Chemical standards and standard states. Standard enthalpies of formation, ionic enthalpies and bond energies. How the change in enthalpy varies with temperature. Kirchhoff’s equations. Applications of thermochemistry to a variety of worked examples, including flames and explosions.
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Kühling, Jürgen, and Daniel Zimmer, eds. Neue Gemeinwohlherausforderungen - Konsequenzen für Wettbewerbsrecht und Regulierung. Nomos Verlagsgesellschaft mbH & Co. KG, 2020. http://dx.doi.org/10.5771/9783748904021.

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On 11 and 12 September 2018, the fourth symposium of the “Wissenschaftliche Vereinigung für das gesamte Regulierungsrecht” [“Scientific Association for the Entirety of Regulatory Law”] took place at the University of Regensburg. The topic was: “New challenges for the public good – consequences for competition law and regulation”. The basic idea of the conference concept was, on the one hand, to consider which new challenges for the public good exist in the classical network economies of the telecommunications, energy and railway regulations, and on the other hand, to focus on adjacent sectors – such as the media and communications industries – and finally go beyond the sectors considered so far. The conference was divided into the following thematic blocks: “basic papers”, “classic sectors in transition”, “new sectors in the internet age” and “new challenges beyond the sectors”. The fourth volume of the series contains the lectures given at the symposium. With contributions by Markus Ludwigs, Heike Schweitzer, Thomas Fetzer, Charlotte Kreuter-Kirchhof, Karten Otte, Karl-Eberhard Hain, Ralf Müller-Terpitz, Rupprecht Podszun, Thosten Kingreen, Julia Barth, Anna Kellner, Fabian Toros and Florian Sackmann
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Book chapters on the topic "Kirchhoff law"

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Gooch, Jan W. "Kirchhoff's Law." In Encyclopedic Dictionary of Polymers. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_6677.

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Agassi, Joseph. "Kirchhoff’s Law." In Radiation Theory and the Quantum Revolution. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-7216-4_5.

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Soardi, Paolo M. "Kirchhoff's laws." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0073996.

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Zeng, Gengsheng Lawrence, and Megan Zeng. "Kirchhoff’s Current Law (KCL)." In Electric Circuits. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-60515-5_5.

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Zeng, Gengsheng Lawrence, and Megan Zeng. "Kirchhoff’s Voltage Law (KVL)." In Electric Circuits. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-60515-5_4.

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Kłos, Andrzej. "Kirchhoff’s Laws Using Matrix T." In Mathematical Models of Electrical Network Systems. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52178-7_7.

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Glisson, Tildon H. "Circuit Elements, Circuit Diagrams, and Kirchhoff’s Laws." In Introduction to Circuit Analysis and Design. Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-9443-8_3.

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Kłos, Andrzej. "Applications of b-Dimensional Formulation of Kirchhoff’s Laws." In Mathematical Models of Electrical Network Systems. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52178-7_10.

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Kumar, Vineet. "A Viewpoint: Discrimination Between Two Equivalent Statements of Kirchhoff’s Current Law from the Ground of Precedenceness." In Lecture Notes in Electrical Engineering. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0212-1_5.

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Golden, Leslie M. "Experiment 20 Discovering the Nature of Objects in Space: Kirchhoff’s Laws of Radiation." In Laboratory Experiments in Physics for Modern Astronomy. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3311-8_20.

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Conference papers on the topic "Kirchhoff law"

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Mingesz, Robert, Zoltan Gingl, and Gergely Vadai. "Security and performance analysis of the Kirchhoff-Law-Johnson-Noise secure key exchange protocol." In 2015 International Conference on Noise and Fluctuations (ICNF). IEEE, 2015. http://dx.doi.org/10.1109/icnf.2015.7288554.

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Mingesz, Robert, Noemi Bors, Gergely Vadai, and Zoltan Gingl. "Performance and security analysis of the generalized Kirchhoff-Law-Johnson-Noise key exchange protocol." In 2017 International Conference on Noise and Fluctuations (ICNF). IEEE, 2017. http://dx.doi.org/10.1109/icnf.2017.7985976.

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Stro¨mberg, Niclas. "What Is the Optimal Shape of a Snap Ring?" In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35052.

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In this paper a non-linear elastic ring is studied by using a method for contact/impact problems. The method is developed for frictional contact, impact and rolling between a two-dimensional hyperelastic body and rigid foundations. The elastic properties of the body are defined by coupling the second Piola-Kirchhoff stress to the Green-Lagrange strain via the Kirchhoff-St. Venant law. The rigid supports are described by smooth functions. By introducing the mean value impulses, these functions are utilized to formulate new contact/impact laws. The support functions appear explicitly in the variational formulation of Signorini, and implicitly in the maximal dissipation principle of Coulomb. A feature of this approach is that no search algorithm is needed. Another feature is that the normal and tangential directions of the supports are well defined. The above constitutive assumptions together with the law of motion, which is written on velocity form, define the governing equations of the system. These are solved by a nonsmooth Newton method. The method is utilized to study the contact pressure between a snap ring and a rigid groove which has the shape of a perfect circle. It is obvious that if the snap ring also has the shape of a perfect circle, then the distribution of the contact pressure will be uneven. An even distribution of the contact pressure is preferable in order to improve function and increase lifetime. The question that is considered in this paper is how the shape of the ring should be designed in order to produce this type of contact pressure.
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Stro¨mberg, Niclas. "Topology Optimization of Non-Linear Elastic Structures by Using SLP." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86292.

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In this paper a method for topology optimization of nonlinear elastic structures is suggested. The method is developed by starting from a total Lagrangian formulation of the system. The internal force is defined by coupling the second Piola-Kirchhoff stress to the Green-Lagrange strain via the Kirchhoff-St. Venant law. The state of equilibrium is obtained by first deriving the consistency stiffness matrix and then using Newton’s method to solve the non-linear equations. The design parametrization of the internal force is obtained by adopting the SIMP approach. The minimization of compliance for a limited value of volume is considered. The optimization problem is solved by SLP. This is done by using a nested approach where the equilibrium equation is linearized and the sensitivity of the cost function is calculated by the adjoint method. In order to avoid mesh-dependency the sensitivities are filtered by Sigmund’s filter. The final LP-problem is solved by an interior point method that is available in Matlab. The implementation is done for a general design domain in 2D by using fully integrated isoparametric elements. The implementation seems to be very efficient and robust.
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5

Kong, Qiang, and Hae Chang Gea. "Sensitivity Analysis for Non-Linear Structures." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8616.

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Abstract In this paper, sensitivity analysis of total strain energy for nonlinear structures is studied. Based upon the law of energy-consistent, effective stress and strain are defined. The total strain energy is transformed in the form of the effective strain and stress. A closed-form approach for sensitivity calculation is derived. This method can also be extended to large displacement, large rotation problems using the 2nd Piola-Kirchhoff stress and Green-Lagrange stress. Numerical results from the proposed method are compared with those from finite differencing method.
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6

Yoon, Heonjun, Byeng D. Youn, and Heung S. Kim. "Analysis of Electromechanical Performance of Energy Harvesting Skin Based on the Kirchhoff Plate Theory." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-35433.

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As a compact and durable design concept, energy harvesting skin (EH skin), which consists of piezoelectric patches directly attached onto the surface of a vibrating structure as one embodiment, has been recently proposed. This study aims at developing an electromechanically-coupled analytical model of the EH skin so as to understand its electromechanical behavior and get physical insights about important design considerations. Based on the Kirchhoff plate theory, the Hamilton’s principle is used to derive the differential equations of motion. The Rayleigh-Ritz method is implemented to calculate the natural frequency and the corresponding mode shapes of the EH skin. The electrical circuit equation is derived by substituting the piezoelectric constitutive relation into Gauss’s law. Finally, the steady-state output voltage is obtained by solving the differential equations of motion and electrical circuit equation simultaneously. The results of the analytical model are verified by comparing those of the finite element analysis (FEA) in a hierarchical manner.
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7

Ebel, Henrik, Marko K. Matikainen, Vesa-Ville Hurskainen, and Aki Mikkola. "Higher-Order Plate Elements for Large Deformation Analysis in Multibody Applications." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59381.

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This study introduces higher-order three-dimensional plate elements based on the absolute nodal coordinate formulation (ANCF) for large deformation multibody applications. The introduced elements employ four to eight nodes and the St. Venant-Kirchhoff material law. A newly proposed eight-node element is carefully verified using various numerical experiments intended to discover possible locking phenomena. In the introduced plate elements, the usage of polynomial approximations of second order in all three directions is found to be advantageous in terms of numerical performance. A comparison of the proposed eight-node element to the introduced four-node higher-order plate elements reveals that the usage of in-plane slopes as nodal degrees of freedom has a negative effect on numerical convergence properties in thin-plate use-cases.
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8

Simeunovic, Goran, and Tomas Vyhlidal. "Numerical Modeling of the Moisture Transfer Through Wooden Desk and Hygro-Mechanical Coupling by Linking ANSYS and MATLAB Software." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-39492.

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Presented research is a continuation of the our previous work [1], where numerical modelling tools are applied to study relation between the moisture distribution and related stress and strain in painted wooden desks. In this paper, the very simply linear model for modelling of the stress in the wood is substituted by more complex model. Used stress model is based on St. Venant – Kirchhoff-material and stress/strain relation in the form of Hooke’s law for small strains presented in [2]. Furthermore, the previous 3D CFD model of the Chapel of the Holy Cross at Karlstejn Castle is completed by added the influence of the visitors on the indoor climate. Same as in the previous above cited work, the temperature and relative humidity distribution in the chapel is obtained by FLUENT 3D CFD model of the chapel and these results are post-processed and used as boundary condition for the calculation part, which is performed in the MATLAB. This problem is being investigated as one of the tasks of the European project Climate for Culture (http://www.climateforculture.eu/).
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Habchi, Charbel, Serge Russeil, Daniel Bougeard, et al. "Numerical Simulation of the Interaction Between Fluid Flow and Elastic Flaps Oscillations." In ASME 2013 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/fedsm2013-16352.

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Several numerical methods have been developed recently to solve problems including the interaction between viscous fluid flow and elastic solid structures. In this work, an in-house partitioned numerical solver is developed by using the open source C++ library OpenFOAM. Finite volume method is used to discretize the fluid flow problem on a moving mesh in an Arbitrary Lagrangian-Eulerian formulation and by using an adaptive time step. The structural elastic deformation is analyzed in a Lagrangian formulation using the St. Venant-Kirchhoff constitutive law. The solid structure is discretized by the finite volume method in an iterative segregated approach. The automatic mesh motion solver is based on Laplace smoothing equation with variable mesh diffusion. The strong coupling between the segregated solvers and the equilibrium on the fluid-structure interface are achieved by using an iterative implicit fixed-point algorithm with dynamic Aitken’s relaxation method. The solver is first validated on a benchmark largely used in the open literature. Then, a more complex case is studied including two elastic flaps immersed in a pulsatile fluid flow. The present solver predicts accurately the interaction between the complex flow structures generated by the flaps and the effect of the flaps oscillations on each other.
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Feng, Yanhui, Wei Liu, and Xinxin Zhang. "Numerical Analysis on the Radiant Characteristics of Three-Dimensional Random Rough Surfaces." In ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/ht2009-88576.

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In the area of micro- and nano-scale radiation heat transfer, the radiant characteristics of rough surfaces have drawn increasing attention. In this paper, three-dimensional Gaussian random rough surfaces were created by the Monte Carlo simulation method. Ray tracing method combined with the Kirchhoff approximation was employed to analyze the shadowing effect of random surfaces with different roughness. The relative scattering intensity from rough surfaces was further investigated by the Fresnel law. The results indicated that the peak of the relative scattering intensity occurred at the anti-scattering angle and the scattering distributions were continuous. With increasing surface roughness, the height of the peak became lower, the width of distribution became wider, and the distribution range of the scattering angle and the azimuth of the reflection electromagnetic waves increased. Furthermore, the relative scattering intensity concentrated in the vicinity of the anti-scattering angle and the largest scattering intensity occurred in the specular direction. Taking into account of the effects of polarization state and wavelength of incidence waves, it was shown that the relative scattering intensity of s polarized incident wave was slightly larger than that of p polarization, while the relative scattering intensity became stronger as the wavelength increased.
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