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An Experimental and Numerical Study of Tip Vortex Cavitation
PublicationArtykuł przedstawia eksperymentalne i numeryczne badanie kawitujacych wirów wierzchołkowych. Eksperymenty przeprowadzono w tunelu kawitacyjnym na modelu płata nośnego, wykonując pomiary pola prędkości wokół wiru przy pomocy metody Particle Image Velocimetry (PIV). Równolegle przeprowadzono numeryczne symulacje kawitującego wiru wierzchołkowego dla różnych parametrów przepływu. Symulacje wykonano programami Fluent i CFX, stosując...
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Experimental and Numerical Study on Pounding of Structures in Series
PublicationPounding between structures in series during earthquakes may cause serious damage in the structural elements. The aim of this paper is to show the results of an experimental and numerical study that is focused on pounding between more than two structures which may be described as “structures in series”. In this study, the shaking table experiments, as well as the numerical analyses, were performed using three tower models including...
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Numerical solutions for blood flow in elastic vessels
PublicationWe consider the differential–algebraic system for the blood flow and pressure in the systemic arteries. By the operator splitting method, we transform the system into the hyperbolic one, introduce the bicharacteristics, and perform the time–space nonuniform discretization, obtaining the innovative difference scheme. Our results are illustrated with numerical experiments.
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Numerical-analytic methods for differential-algebraic systems
PublicationMetodę numeryczno-analityczną połączoną z metodą porównawczą zastosowano do układów równań różniczkowo-algebraicznych z linowymi warunkami brzegowymi otrzymując warunki dostateczne na istnienie rozwiązania. O prawych stronach zagadnienia zakładano warunek Lipschitza. Otrzymano oszacowania błędów. Problem z odchylonymi argumentami był również przedmiotem rozważań tej pracy.
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A two-scale numerical approach to granular systems
PublicationW artykule zaprezentowano wyniki dwuskalowego numerycznego podejścia do materiałów granulowanych. Na poziomie mikro materiał był modelowany przy zastosowaniu metody elementów dyskretnych, natomiast na poziomie makro przy zastosowaniu metody elementów skończonych na bazie macierzy sztywności wyznaczonej na podstawie naprężeń i odkształceń na poziomie mikro.
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Earthquake-Induced Pounding Between Asymmetric Steel Buildings
PublicationEarthquake-induced pounding between buildings has been the subject of numerous numerical and experimental studies in the resent years. The phenomenon may cause severe damage to structural elements as well as may also lead to the total collapse of colliding structures. A major reason leading to pounding between adjacent, insufficiently separated buildings results from the differences in their dynamic properties. The aim of this...
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Application of the Bodner-Partom constitutive equations for modelling of the technical fabric Valmex used for the hanging roof of the Forest Opera in Sopot
PublicationThe study of an inelastic properties of the technical fabric Valmex used for 20 years as the roof structure of the Forest Opera in Sopot (Poland) is presented. The uniaxial tensile laboratory tests with constant strain rate have been conducted and analysed. Parameters of the Bodner-Partom constitutive model have been identified and verified by numerical simulations. Two approaches of the parameters identification have been proposed:...
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Sensitivity analysis of free torsional vibration frequencies of thin-walled laminated beams under axial load
PublicationThe paper addresses sensitivity analysis of free torsional vibration frequencies of thin-walled beams of bisymmetric open cross-section made of unidirectional fibre-reinforced laminate. The warping effect and the axial end load are taken into account. The consideration is based upon the classical theory of thin-walled beams of non-deformable cross-section. The first-order sensitivity variation of the frequencies is derived with...
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Multilevel model order reduction with generalized compression of boundaries for 3-d FEM electromagnetic analysis
PublicationThis paper presents a multilevel Model Order Reduction technique for a 3-D electromagnetic Finite Element Method analysis. The reduction process is carried out in a hierarchical way and involves several steps which are repeated at each level. This approach brings about versatility and allows one to efficiently analyze complex electromagnetic structures. In the proposed multilevel reduction the entire computational domain is covered...
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Geotechnical Analysis and Stability Assessment of a Landslide Event in Gera Woreda, Ethiopia
PublicationThis study investigates the geotechnical factors influencing a recent landslide event in Gera Woreda, Ethiopia. The primary objective was to identify the soil properties contributing to landslide occurrence and understand the triggering mechanisms. Field investigations, soil sampling from both affected and unaffected areas, and subsequent laboratory characterization were conducted. The analysis revealed a dominance of fine-grained...
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Modelowanie kratownicy z kształtowników giętych na zimno z mimośrodami dodatnimi w węźle = Modelling of truss with cold-formed section and positive eccentricyty in the node.
PublicationThe topic of this research is establishing load-carrying capacity of compressed and tensed chords of trusses made of cold-formed open cross-sections. Occurrence of bending in the truss’ chord is the result of specific production technology assumed by the designer and producer of lattice girder’s systems. The aim of this research is to present methodology of conduct while creating numerical models that best depict the behaviour...
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Earthquake-induced pounding between asymmetric steel buildings
PublicationEarthquake-induced pounding between buildings has been the subject of numerous numerical and experimental studies in the resent years. The phe-nomenon may cause severe damage to structural elements as well as may also lead to the total collapse of colliding structures. A major reason leading to pounding between adjacent, insufficiently separated buildings results from the differences in their dynamic properties. The aim of this...
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Building damage due to structural pounding during earthquakes
PublicationEarthquake-induced pounding between adjacent buildings has been identified as one of the reasons for substantial damage or even total collapse of colliding structures. A major reason leading to interactions in buildings results from the differences in their dynamic parameters and also from insufficient distance between the structures. Although the research on structural pounding has been much advanced, the studies have mainly been...
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Prospects in elongation of railway transition curves
PublicationThe paper presents an analysis of the elongation of transition curves in relation to railway track alignment correction and modernisation. The analysis is based on numerical computations for a wide range of parameters describing a typical railway geometrical layout with transition curves. The differences between the horizontal ordinates of the existing layout and the layout with the elongated transition curves are evaluated and...
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Diagonalized Macromodels in Finite Element Method for Fast Electromagnetic Analysis of Waveguide Components
PublicationA new technique of local model-order reduction (MOR) in 3-D finite element method (FEM) for frequency-domain electromagnetic analysis of waveguide components is proposed in this paper. It resolves the problem of increasing solution time of the reduced-order system assembled from macromodels created in the subdomains, into which an analyzed structure is partitioned. This problem becomes particularly relevant for growing size and...
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High frequency dynamics of an isotropic Timoshenko periodic beam by the use of the Time-domain Spectral Finite Element Method
PublicationIn this work results of numerical simulations and experimental measurements related to the high frequency dynamics of an aluminium Timoshenko periodic beam are presented. It was assumed by the authors that the source of beam structural periodicity comes from periodical alterations to its geometry due to the presence of appropriately arranged drill-holes. As a consequence of these alterations dynamic characteristics of the beam...
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Design Evolution of the Ultrasonic Piezoelectric Motor Using Three Rotating Mode Actuators
PublicationThe development process and experimental investigation of the multicell piezoelectric motor is presented in this paper. The proposed design consists of three individual cells integrated into the stator, double rotor, and a preload system. Those elements are combined into a symmetrical structure of the motor. The two new prototypes have been designed, simulated and tested. Finite element numerical analysis is carried out to obtain...
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Portico Farmhouses of the Vistula Delta: Architecture, Current State and Finite Element Modelling of Timber Roof Truss under Material and Cross-section Uncertainty
PublicationThe article focuses on the oldest surviving I-type portico houses located in the Vistula Delta, which were built in the 17th and 18th centuries. The study describes the houses’ origins, structure, details of roof structures and technical condition, and it also includes numerical modelling of a roof truss and its mechanical analysis. Numerical models of the roof trusses are defined and analysed by means of the finite element method....
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Propagation in rectangular waveguides with a pseudochiral Ω slab
PublicationThe transfer matrix approach is applied for analysis of waveguides loaded with a uniaxial pseudochiral Ω slab. In particular a pseudochiral parallel plate and rectangular guides are investigated. Based on the numerical analysis the influence of the pseudochirality on propagation characteristics and field distribution are examined. Other feature such as a field displacement phenomenon appearing in the both considered structures...
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Study on deformed steel columns subjected to impact load due to soft-storey failure in buildings during earthquakes
PublicationThe so called soft-storey failure is one of the most typical types of damage induced in buildings as the result of earthquake excitation. It has been observed during ground motions that the failure of an upper soft storey of a structure results in large vertical impact load acting on the lower floors. If the resistance of the structural members of the lower storeys is not sufficient it may further lead to progressive collapse of...
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The impact of the shape of deep drilled well screen openings on the filtration process in full saturation conditions
PublicationThe authors propose a supplementary method of modelling seepage flow around the deep drilled well screen. The study applies 3D numerical modelling (FEM) in order to provide an in-depth analysis of the seepage process. The analysis of filtration parameters (flow distribution q(x,t) and pressure distribution p) was conducted using the ZSoil.PC software system. The analysis indicates that the shape of perforation is of secondary importance...
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Defining the thermal conductivity of thermally heterogeneous hollow wall bricks used as elements for increasing the comfort of buildings
PublicationThe article presents numerical calculation analysis in the scope of determining thermal conductivity coefficientλeq[W/(m·K)] of thermally heterogeneous hollow bricks of thermally heterogeneous structure (a combinationof structural material with thermal insulation material). Numerical calculations were conducted by means ofprofessional software TRISCO-KOBRU 86, serving thermal circulation analysis in a 2D field in stationary approach.The...
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Proceedings of the 9th International Conference on Structural Dynamics, EURODYN 2014
PublicationSince offshore wind turbine supporting structures are subjected to dynamic environments with time-varying loading conditions, it is important to model their dynamic behavior and validate these models by means of vibrational experiments. In this paper assessment of dynamical state of the structure is investigated by means of both: numerical modeling, and experimental modal analysis. In experimental modal analysis, capturing the...
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Numerical aspects of improvement of the unsteady pipe flow equations
PublicationW pracy dokonano analizy zaproponowanych w ostatnich latach metod opisu oporów ruchu w przepływie nieustalonym w przewodach pod ciśnieniem. Wykazano,że modyfikacja współczynnika oporów liniowych nie może zapewnić pozytywnych efektów oraz ,że poprawa wyników wykazywana przez autorów modyfikacji wynika z błędu dyfuzji numerycznej generowanej przez metodę rozwiązania.
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Application of Numerical Simulations on 10GN2MFA Steel Multilayer Welding
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Numerical Simulations of X22CrMoV12-1 Steel Multilayer Welding
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Heat Source Models in Numerical Simulations of Laser Welding
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Numerical modeling in open channel hydraulics / R. Szymkiewicz
Publicationksiążka poświęcona jest zagadnieniom modelowania matematycznego przepływów w kanałach otwartych.oprócz wyprowadzenia podstawowych równań przepływów oraz transportu masy i energii, w książce omówiono metody numeryczne użyteczne w hydraulice kanałów.przedstawiono liczne przykłady ich aplikacji do rozwiązania równań przepływu ustalonego i nieustalonego. opisowi metod rozwiązania towarzyszą analizy dokładności oraz stabilności numerycznej.
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Numerical modeling of hydrodynamics and sediment transport—an integrated approach
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Detection of additional mass in rods: Experimental and numerical investigation
PublicationW pracy przedstawiono wyniki badań eksperymentalnych i numerycznych nad wykorzystaniem zmian w propagacji fal sprężystych do detekcji masy skupionej znajdujacej się w konstrukcji prętowej.
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Numerical simulation of extreme flooding in a built-up area
PublicationPrzedstawiono dwie numeryczne symulacje propagacji gwałtownej fali powodziowej przez schematyczny model obszaru zabudowanego. Do obliczeń wykorzystano równania przepływu wody płytkiej. Wyniki obliczeń porównano z dostępnymi pomiarami wykonanymi w laboratorium hydraulicznym ENEL-CESI w Mediolanie. Uzyskano zadowalającą zgodność symulacji z eksperymentami.
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Numerical methods for systems of nonlinear differential functional equations
PublicationPraca dotyczy zagadnień początkowo brzegowych dla nieliniowych układów różniczkowo funkcyjnych. Rozważana jest aproksymacja rozwiązań rozważanego problemu różniczkowo funkcyjnego przez rozwiązania odpowiedniego problemu różnicowego. W pracy analizowana jest zbieżność prezentowanych metod. Dowód zbieżności opiera się na technice porównawczej z nieliniowym oszacowaniem typu Perron'a dla danych operatorów.
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Implemetation of the measured shell geometric imperfections to the numerical model
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Numerical assessment of the fatigue crack propagation in ship structuraldetails.
PublicationPrzedstawiono podejście teoretyczne pozwalające na modelowanie rozwoju pęknięcia w konstrukcji kadłuba okrętu. Omówiono założenia i procedurę realizacyjną. Pokazano wyniki badań rzeczywistych modeli konstrukcji kadłuba-skrzyżowanie wiązań ramowych o jednakowej wysokości. Dokonano porównania i krytycznej analizy wyników uzyskanych na drodze teoretycznej z wynikami badań rzeczywistych.
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Numerical conditioning of delta-domain Lyapunov and Riccati equations
PublicationW pracy rozważono problem uwarunkowania dyskretno czasowych równań Lapunowa oraz równań Riccatiego - to znaczy problem wrażliwości rozwiązań takich równań na odchyłki ich parametrów od nominalnych wartości. Zdefiniowano odpowiedni "różniczkowy" wskaźnik uwarunkowania oraz podano efektywną metodę szacowania jego wartości. Udowodniono teoretycznie - a także przekonująco zilustrowano na drodze numerycznej - twierdzenie głoszące, iż...
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Numerical solution of boundary value problems with deviated arguments
PublicationZastosowano metodę różnicową, aby wyznaczyć przybliżone rozwiązanie problemubrzegowego z odchylonymi argumentami. Pokazano, że metoda różnicowa, przyodpowiednich warunkach, jest zbieżna do rozwiązania i podano oszacowaniabłędów.
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Analytical and numerical solution of a coupled KdV - MKdV system.
PublicationTransformację Darboux zastosowano do całkowania układów równań KdV - MKdV.Reprezentacja Laxa używa 2x2 macierzowe zagadnienie spektralne drugiego rzędu. Numeryczną metodę wprowadzono razem z dowodem zbieżności.
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Analytical and numerical solution of a coupled KdV-MKdV system.
PublicationTransformacje Darboux zostały użyte do rozwiązania układu równań KdV-MKdV.
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Identification of ship’s hull mathematical model with numerical methods
PublicationThe modern maritime industry is moving toward the development of technology that will allow for full or partial autonomy of ship operation. This innovation places high demands on ship performance prediction techniques at the design stage. The researchwork presented in the article is related to the design stage of the ship and concerns methods for prognosis and evaluation of the specific operational condition of the ship, namely...
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Numerical simulation of water drainage in double-porosity soils
PublicationArtykuł dotyczy modelowania przepływu wody w warunkach nienasyconych w gruntach o podwójnej porowatości, które są złożone z dwóch materiałów porowatych o bardzo różnych parametrach. przepływ w takich ośrodkach często charakteryzuje się powstawaniem lokalnych gradientów ciśnienia między obszarami dobrze isłaboprzepuszczalnymi.Przedstawiono matematyczny model przepływu wody w gruncie w strefie nienasyconej. Przepływ odbywa się w...
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On the validation of the LS-DYNA Geo Metro numerical model
PublicationThe paper presents experiences gained during work with numerical model of Geo Metro vehicle used for simulations of crash tests with road safety barriers. Attention is drawn to the subject of tire/wheel breakage during collision events. Some methods for improvement of the model are presented in the paper. Several results for the normative vehicle numerical tests are introduced. Simulations were carried out using LS-DYNA finite...
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In Situ Verification of Numerical Model of Water Hammer in Slurries
PublicationThis paper presents a numerical model of transient flow in a pressure slurry pipeline network with verification based on in situ measurements. The model, primarily verified in laboratory conditions, has been extended and applied to the case of a large and complex slurry pipeline network in Poland. In the model, the equivalent density concept was applied. In situ experiments were performed for various unsteady flow episodes, caused by...
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Mathematical model and numerical calculations of the pelagic trawl system
PublicationW pracy przedstawiono matematyczny model ruchu środka ciężkości zestawu do trałowania pelagicznego wraz z wyznaczaniem jego parametrów geometrycznych. Pokazano także sposób rozwiązania i przykładowe wyniki obliczeń numerycznych. Opracowany program komputerowy może być wykorzystywany do wyznaczania optymalnych parametrów pracy dla zapewnienia bezpiecznych, efektywnych i ekologicznych połowów pelagicznych
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Numerical Test for Stability Evaluation of Discrete-Time Systems
PublicationIn this paper, a new numerical test for stability evaluation of discrete-time systems is presented. It is based on modern root-finding techniques at the complex plane employing the Delaunay triangulation and Cauchy's Argument Principle. The method evaluates if a system is stable and returns possible values and multiplicities of unstable zeros of the characteristic equation. For state-space discrete-time models, the developed test...
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Comparative testing of numerical models of river ice jams
PublicationIce processes in general, and ice jams in particular, play a dominant role in the hydrologic regime of Canadian rivers, often causing extreme floods and affecting the life cycle of many aquatic, terrestrial, and avian species. Various numerical models have been developed to help simulate the formation and consequences of these very dynamic and often destructive jam events. To test and compare the performance of existing models,...
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Numerical modeling of ice jam formation in the Włocławek reservoir
PublicationArtykuł opisuje zjawisko powstawania zatoru lodowego w zbiorniku przepływowym przy użyciu dwuwymiarowego modelu DynaRICE. Analizowany proces został przeanalizowany na przykładzie zatoru lodowego, który utworzył się na zbiorniku Włocławek w syczniu 1982 roku. Przeprowadzone obliczenia pokazały, że zator utworzyła się z lodu powierzchniowego. Efekt termiczny i tworzenie się śryżu w zbiorniku został pominięty jako drugorzędny. Wyniki...
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Numerical modeling of the nonlinear wave propagation in a bubble layer
PublicationRozważano zagadnienie propagacji fali wewnątrz warstwy z pęcherzykami. Omówiono model matematyczny, przedstawiono przykładowe wyniki badań teoretycznych. Analizowano zmiany ciśnienia wewnątrz warstwy, falę odbitą i bieżącą w ośrodku otaczającym, badano gęstość widmową mocy. Badania teoretyczne przeprowadzono dla różnych grubości warstwy, koncentracji pęcherzyków i wartości parametrów fali padającej.
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Numerical FDM modelling of wave propagation in concrete structure
PublicationThe article presents application of finite difference method to damage detection and its size evaluation in concrete structure by elastic wave propagation method. The simulations of wave propagation in concrete structure were performed for six different damage scenarios. Damages were modelled as areas with changed material properties. Investigation focused on the influence of damage size on the energy of wave reflection. Presented...
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Numerical solutions for large deformation problems in geotechnical engineering
PublicationThe problem of large deformations often occurs in geotechnical engineering. Numerical modeling of such issues is usually complex and tricky. The chosen solution has to implicate soil-soil and soil-structure interactions. In this paper, a review of the most popular numerical methods for large deformation problems is presented. The Coupled Eulerian-Lagrangian (CEL) method, the Arbitrary Lagrangian-Eulerian (ALE) method, the Smoothed...
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Numerical solution of threshold problems in epidemics and population dynamics
PublicationA new algorithm is proposed for the numerical solution of threshold problems in epidemics and population dynamics. These problems are modeled by the delay-differential equations, where the delay function is unknown and has to be determined from the threshold conditions. The new algorithm is based on embedded pair of continuous Runge–Kutta method of order p = 4 and discrete Runge–Kutta method of order q = 3 which is used for the...