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Search results for: PANTOGRAPHIC LATTICE
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On existence and uniqueness of weak solutions for linear pantographic beam lattices models
PublicationIn this paper, we discuss well-posedness of the boundary-value problems arising in some “gradientincomplete” strain-gradient elasticity models, which appear in the study of homogenized models for a large class ofmetamaterials whosemicrostructures can be regarded as beam lattices constrained with internal pivots. We use the attribute “gradient-incomplete” strain-gradient elasticity for a model in which the considered strain energy...
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LattE- first-principles lattice energy calculations
PublicationCrystal engineering is currently attracting much interest. Its aim is to create materials of predefined properties fulfilling the requirements imposed by the applications. There are several parameters describing crystal structures, but the most important one is probably the energy of a crystal lattice. It is the energy released by the system when crystalline solid is formed out of molecules or ions in gaseous phase. Approximate...
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Flexoelectricity and apparent piezoelectricity of a pantographic micro-bar
PublicationWe discuss a homogenized model of a pantographic bar considering flexoelectricity. A pantographic bar consists of relatively stiff small bars connected by small soft flexoelectric pivots. As a result, an elongation of the bar relates almost to the torsion of pivots. Taking into account their flexoelectric properties we find the corresponding electric polarization. As a results, the homogenized pantographic bar demonstrates piezoelectric...
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Digital Cartographic Generalization – Study of Its Thresholds and Stages in Example of Cartographic Line
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Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions
Publicationwe address the well-posedness of the planar linearized equilibrium problem for homogenized pantographic lattices. To do so: (i) we introduce a class of subsets of anisotropic Sobolev’s space as the most suitable energy space E relative to assigned boundary conditions; (ii) we prove that the considered strain energy density is coercive and positive definite in E ; (iii) we prove that the set of placements for which the strain...
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Lamp of adjustable spectrum for photographic usage
PublicationPhotography is a unique rapidly growing interdisciplinary field encompassing aspects of science, art and technology. Expectations of photographers are steadily increasing with the development of technology. One of the areas playing a crucial role in photography is lighting. Consequently, several types of light sources for photographic use have been developed. The ongoing research in this field concentrates on lamps with tunable...
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Pantographic metamaterials: an example of mathematically driven design and of its technological challenges
PublicationIn this paper, we account for the research efforts that have been started, for some among us, already since 2003, and aimed to the design of a class of exotic architectured, optimized (meta) materials. At the first stage of these efforts, as it often happens, the research was based on the results of mathematical investigations. The problem to be solved was stated as follows: determine the material (micro)structure governed by those...
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Continuum models for pantographic blocks with second gradient energies which are incomplete
PublicationWe postulate a deformation energy for describing the mechanical behavior of so called pantographic blocks, that is bodies constituted by stacking of layers of pantographic sheets. We remark that the pantographic effect is limited in the plane of pantographic sheets and therefore only the second derivatives of transverse displacements along the pantographic fibers appear in the chosen deformation energy. We use this novel energy...
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Lattice dynamics of Mg2SiO4
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A digital cartographic source for numerical models in hydrology
PublicationAutorzy prowadzą analizę wykorzystania i przydatności cyfrowych danych kartograficznych w rozwiązywaniu przestrzennych zagadnień hydrologicznych. Szczególne znaczenie dla prowadzonych analiz mają DTM i DEM. Są one źródłem bezpośrednich wielkości wejściowych modelu hydrologicznego i dodatkowo pozwalają na szersze możliwości prezentacji otrzymanego rozwiązania.
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Cartometric: semantic ontology evaluation with cartographic methods
PublicationW ostatnich latach, głównie dzięki rozwojowi inicjatywy Sieci Semantycznej (ang. Semantic Web), staliśmy się świadkami powstawania coraz większej liczby gwałtownie ewoluujących ontologii. W takiej sytuacji zarówno użytkownicy Sieci, jak i komputerowe agenty potrzebują metody oceny właściwości ontologii, w szczególności takiej, która uwzględni jej cechy semantyczne, czyli kształt przestrzeni dozwolonych modeli. Niniejsza praca prezentuje...
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Lattice dynamics of CuAu-orderedCuInSe2
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Novel analysis methods of dynamic properties for vehicle pantographs
PublicationTransmission of electrical energy from a catenary system to traction units must be safe and reliable especially for high speed trains. Modern pantographs have to meet these requirements. Pantographs are subjected to several forces acting on their structural elements. These forces come from pantograph drive, inertia forces, aerodynamic effects, vibration of traction units etc. Modern approach to static and dynamic analysis should...
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Enriched buckling for beam-lattice metamaterials
PublicationWe discuss two examples of beam-lattice metamaterials which show attractive mechanical properties concerning their enriched buckling. The first one considers pantographic beams and the nonlinear solution is traced out numerically on the base of a Hencky’s model and an algorithm based on Riks’ arc-length scheme. The second one concerns a beam-lattice with sliders and the nonlinear solution is discussed in analytic way and, finally,...
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On Directed Lattice Paths With Vertical Steps
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Processing and querying description logic ontologies using cartographic approach
PublicationLogika opisowa jest formalizmem reprezentowania wiedzy, który ostatnio zyskuje na znaczeniu wśród inżynierów. Niniejszy rozdział, po krótkim wprowadzeniu do logiki opisowej, prezentuje silnik wnioskujący opracowany na Politechnice Gdańskiej. Silnik ten, o nazwie KaSeA, opiera się na oryginalnej idei kartografii wiedzy. Niniejszy rozdział pokazuje podstawy kartografii wiedzy, jej ograniczenia i potencjał rozwoju, a także porównuje...
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Processing and Querying Description Logic Ontologies Using Cartographic Approach
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Cartographic Representation of Route Reconstruction Results in Video Surveillance System
PublicationThe video streams available in a surveillance system distributed on the wide area may be accompanied by metadata are obtained as a result of video processing. Many algorithms applied to surveillance systems, e.g. event detection or object tracking, are strictly connected with localization of the object and reconstruction of its route. Drawing related information on a plan of a building or on a map of the city can facilitate the...
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Processing and querying description logic ontologies using cartographic approach
PublicationLogika opisowa (ang. description logic) jest formalizem reprezentacji wiedzy, który w ostatnich latach uzyskał dużą popularność pomiędzy inżynierami wiedzy. Po krótkim wprowadzeniu do formalizmu logiki opisowej artykuł prezentuje system wnioskowania opracowany na Politechnice Gdańskiej w ramach projektu PIPS 6 Programu Ramowego UE. System wnioskujący jest oparty na nowatorskiej metodzie kartograficznej, której podstawy również...
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Mathematical modelling of the overhead contact line for the purpose of diagnostics of pantographs
PublicationThe overhead contact line (OCL) is the most effective way for supplying railway electric vehicles. The increase of the speed of the vehicles increases power consumption and requires ensuring proper cooperation of pantographs with OCL. The paper describes the novel mathematical model of the OCL system and the simulation results. The primary objective is a more accurate analysis to increase the reliability of the evaluation of monitoring...
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Counting Lattice Paths With Four Types of Steps
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Lattice dynamics of the rare-earth element samarium
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First-principles calculations of the lattice dynamics of CuInSe2
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Lattice Dynamics and Structural Phase Transitions in Eu2O3
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Kagome Lattice Promotes Chiral Spin Fluctuations
PublicationDynamical spin fluctuations in magnets can be endowed with a slight bent toward left- or right-handed chirality by Dzyaloshinskii-Moriya interactions. However, little is known about the crucial role of lattice geometry on these chiral spin fluctuations and on fluctuation-related transport anomalies driven by the quantum-mechanical (Berry) phase of conduction electrons. Via thermoelectric Nernst effect and electric Hall effect experiments,...
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Lattice type fracture model for brittle materials
PublicationW artykule przedstawiono wyniki obliczeń propagacji rys w elementach betonowych przy zastosowaniu modelu dyskretnego opartego na ruszcie belkowym. Obliczenia wykonano dla różnych problemów brzegowych. W modelu przyjęto inne właściwości dla kruszywa, zaczynu cementowego oraz strefy kontaktu.
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2D lattice model for fracture in brittle materials
PublicationW artykule przedstawiono wyniki obliczeń propagacji rys w elementach betonowych przy zastosowaniu modelu dyskretnego opartego na ruszcie belkowym. Obliczenia wykonano dla różnych problemów brzegowych.
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Analysis of Measurement Errors in Rail Vehicles’ Pantograph Inspection System
PublicationThe paper presents an approach to evaluation of height measurement errors in laser scanning inspection system. The system, consisting of a laser line generator and a specialized camera, is dedicated to diagnosing carbon contact strips of railway vehicles’ pantographs. While height measurement resolution is easily computable based on system parameters, determining the measurement error is troublesome due to numerous impacts. As...
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Controlling nodal displacement of pantographic structures using matrix condensation and interior-point optimization: A numerical and experimental study
PublicationThis study presents an innovative approach for the precise control of nodal displacements in pantographic structures. The method is founded on the Matrix Condensation of Force Method, seamlessly integrated with an Interior Point Optimization algorithm. This combination offers a unique advantage by allowing users to manipulate displaced nodes within a defined coordination domain. Furthermore, this approach introduces the Interior...
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Wave transmission across surface interfaces in lattice structures
PublicationWithin the lattice dynamics formulation, we present an exact solution for anti-plane surface waves in a square lattice strip with a surface row of material particles of two types separated by a linear interface. The considered problem is a discrete analog of an elastic half-space with surface stresses modelled through the simplified Gurtin–Murdoch model, where we have an interfacial line separating areas with different surface...
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Charge orderings and lattice distortions in complex TCNQ salts
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Gradient adaptive lattice filter in FPGAS-implementation issues
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Influence of magnetic interaction on lattice dynamics of FeBO 3
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Eu2Mg3Bi4: Competing Magnetic Orders on a Buckled Honeycomb Lattice
PublicationThe honeycomb lattice and its derived variants provide information on modeling and designing quantum magnets. A novel magnetic material, Eu2Mg3Bi4, which stabilizes in a previously unknown buckled honeycomb lattice, was discovered by high-pressure and high-temperature methods. We report here on the synthesis exploration of pure single crystals, structural determination of the buckled honeycomb lattice of europium moments, and experimental observation...
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Modelling of concrete using lattice and discrete element method
PublicationModelowanie betonu przy zastosowaniu metody siatkowej i metody elementów dyskretnych.
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Lattice method todescribe the behaviour of quasi brittle materials.
PublicationPrzedstawiono wyniki numerycznej symulacji propagacji rys przy zastosowaniu modelu kratownicowego. W modelu tym przyjęto ruszt elementów prętowych do symulacji kruszywa, zaczynu cementowego oraz więzi kontaktu.
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Novel method of estimation of inertial and dissipative parameters of a railway pantograph model
PublicationAn increase in electric railway vehicles service velocity requires that correct interaction between the pantograph and the catenary is ensured. This implies the need for developing mathematical models of pantographs and catenaries and determining their parameters. The article presents a method to determine parameters of mechanical joints of a railway pantograph based on analysis of pantograph subassemblies in swinging motion. The...
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THE PANTOGRAPH AND ITS GEOMETRIC TRANSFORMATIONS - A FORMER POPULAR TOOL FOR COPYING AND SCALING
PublicationDevelopment of digital technology has resulted in significant transformations of designer workshops. Computer applications replaced the previously existing tools and methods for drawing up of projects. Professional, sophisticated drawing instruments and tools for manual plotting, as well as basic drawing aids, have gradually fallen into oblivion and become relicts of a bygone era - the objects of collectors' interest. Gdansk University...
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Enumerations of Plane Trees with Multiple Edges and Raney Lattice Paths
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Identification of nonstationary processes using noncausal bidirectional lattice filtering
PublicationThe problem of off-line identification of a nonstationary autoregressive process with a time-varying order and a time-varying degree of nonstationarity is considered and solved using the parallel estimation approach. The proposed parallel estimation scheme is made up of several bidirectional (noncausal) exponentially weighted lattice algorithms with different estimation memory and order settings. It is shown that optimization of...
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Thermodynamic and electromagnetic properties of hard-core charged bosons on a lattice
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Antiferromagnetism and mixed valency in the new Kondo lattice compound Ce3Rh4Sn7
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Lattice dynamics of HgSe: Neutron scattering measurements andab initiostudies
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On effective properties of beam-lattice structures made of flexoelectric materials
PublicationThe e-Workshop Advances in ELAstoDYNamics of architected materials and BIOmaterials International Research Project (IRP) Coss&Vita of the CNRS
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Lattice-commensurate skyrmion texture in a centrosymmetric breathing kagome magnet
PublicationSkyrmion lattices (SkL) in centrosymmetric materials typically have a magnetic period on the nanometer-scale, so that the coupling between magnetic superstructures and the underlying crystal lattice cannot be neglected. We reveal the commensurate locking of a SkL to the atomic lattice in Gd3Ru4Al12 via high-resolution resonant elastic x-ray scattering (REXS). Weak easy-plane magnetic anisotropy, demonstrated here by a combination...
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Modelling of fracture process in concrete using a novel lattice model.
PublicationArtykuł omawia wyniki modelowania procesu zarysowania w elementach betonowych przy zastosowaniu dyskretnego modelu kratownicowego. Beton był modelowany na poziomie mezoskali z uwzględnieniem 3 faz: kruszywa, zaczynu cementowego i stref kontaktu. Obliczenia wykonano dla rozciągania i ścinania połączonego z rozciąganiem.
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Modelling of fracture process in brittle materials using a lattice model
PublicationW artykule przedstawiono wyniki obliczeń propagacji rys w elementach betonowych przy zastosowaniu modelu dyskretnego opartego na ruszcie belkowym. Obliczenia wykonano dla różnych problemów brzegowych. Dla redukcji kruchości w obszarze pokrytycznym przyjęto model nielokalny obliczenia odkształceń.
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A 3D lattice model to describe fracture process in fibrous concrete
PublicationArtykuł omawia wyniki modelowania procesu zarysowania w elementach betonowych zawierające stalowe włókna przy zastosowaniu dyskretnego modelu kratownicowego. Beton był modelowany na poziomie mezoskali z uwzględnieniem 5 faz: kruszywa, zaczynu cementowego, włókien i obu stref kontaktu. Obliczenia trójwymiarowe wykonano dla jednoosiowego rozciągania.
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Study of fracture process in concrete using a discrete lattice model.
PublicationW artykule omówiono wyniki numeryczne z zastosowaniem dyskretnego modelu rusztowego złożonego z belek do symulacji procesu zarysowania w elementach betonowych. Obliczenia wykonano dla różnych procesów obciążeniowych. Wyniki porównano jakościowo z wynikami doświadczeń.
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Simulations of behaviour of granular bodies using a lattice-gas automaton.
PublicationW artykule przedstawiono wyniki numerycznej analizy przepływu materiałów granulowanych podczas 3 różnych problemów: przepływu silosowego, przepływu kanałowego i tworzenia się nasypu. W modelu zaczerpniętym z teorii gazów przyjęto kolizje cząsteczek i dysypację energii. Wyniki porównano z doświadczeniami.