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Numerical Characterization of Thresholds for the Focusing 1d Nonlinear Schrödinger Equation
PublicationThe focusing nonlinear Schrödinger equation arises in various physical phenomena and it is therefore of interest to determine mathematical conditions on the initial data that guarantee whether the corresponding solution will blow up in finite time or exist globally in time. We focus on solutions to the mass‐supercritical nonlinear Schrödinger equation (1) in 1D case. In particular, we investigate numerical thresholds between blow...
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Excavation induced cast iron pipeline failure – a numerical study
PublicationNumerical study on impact of an unsecured excavation on an underground pipeline. Analysis focused on investigation of pipeline displacement generated by soil movement caused by excavation and heavy traffic. Numerical calculations and soil parameter sensitivity analysis based on Finite Element Method. Some comparisons of results with real-life failure cases.
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Design and numerical testing of 5-box gfrp shell footbridge
PublicationThe paper formulates new design conditions for composite footbridges, taking into account the material and structural specificity of these objects, i.e. the strength condition, the serviceability condition and the frequency condition. A GFRP composite footbridge labelled with CFB2 code has been designed, with the original superstructure in the form of an opened-closed 5-box girder. The foot and cycle track bridge is simply supported,...
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NUMERICAL ANALYSIS OF RUBBER BUMPERS INFLUENCE ON THE COLLIDING STEEL STRUCTURES
PublicationProblem of collisions of neighbouring structures is one of the important issues related to the safety of civil engineering structures. The safety and reliability of steel structures under impact loading is among a number of different aims during the design state. The aim of this paper is to present the results of numerical investigation of dynamic behavior of closely-separated steel structures under seismic excitation. Modal and transient...
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Experimental and numerical studies of double corrugated steel arch panels
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Experimental study and numerical calculations in the analysis of thin-walled structures
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Numerical study of turbulent flow and heat transfer of nanofluids in pipes
PublicationIn this work, Nusselt number and friction factor are calculated numerically for turbulent pipe flow (6 000 < Re < 12 000) with constant heat flux boundary condition using nanofluids. The nanofluid is modelled with the single-phase approach and the simulation results are compared with experimental data of Vajjha et al. [1]. Ethylene glycol and water, 60:40 EG/W mass ratio, as base fluid and SiO2 nanoparticles are used as nanofluid...
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Experimental and numerical analysis of an aluminum cantilevered beam with polymer adhesive
PublicationIn this paper, experimental and numerical investigation on a composite cantilevered aluminum beam has been conducted. The subject of the study consists of two plain aluminum elements bonded with polymer adhesive of different thickness. It has been proven in the previous study that this kind of material has high damping properties. During an experimental investigation, value of damping ratios have been obtained. The aim of a numerical...
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Numerical Study of Turbulent Flow and Heat Transfer of Nanofluids in Pipes
PublicationIn this work, Nusselt number and friction factor are calculated numerically for turbulent pipe flow (Reynolds number between 6000 and 12000) with constant heat flux boundary condition using nanofluids. The nanofluid is modelled with the single-phase approach and the simulation results are compared with experimental data. Ethylene glycol and water, 60:40 EG/W mass ratio, as base fluid and SiO2 nanoparticles are used as nanofluid...
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Design and numerical study of turbines operating with MDM as working fluid
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Discussion. Numerical analysis of thin-walled frames with flexible joints
PublicationPrzedstwiono uwagi do artkułu Tews R., Rachowicz W. ''Numerical Analysis of Thin-Walled Frames with Flexible Joints'', Archives of Civil Engineering, 51, 3, 2005, ss. 344-369.
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Numerical algorithms of planning safe ship trajectories for ARPA systems
PublicationTeza rozprawy: ''Połączenie odpowiedniej miary ryzyka kolizji obiektów i metody unikania kolizji za pomocą manewru niezbędnego pozwala na opracowanie szybkiej, efektywnej i prostej w implementacji metody planowania bezpiecznych trajektorii statków dla systemów ARPA, uwzględniającej dowolną zadaną domenę obiektu. Dobór kształtu domeny obiektu ma znaczny wpływ na zgodność wynikowej trajektorii z regułami MPDM. Minimalizacja liczby...
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On convergence and stability of a numerical scheme of Coupled Nonlinear Schrödinger Equations
PublicationRozważamy rozwiązania numeryczne układu sprężynowych równań nieliniowych Schrödingera. Udowodniliśmy stabilność i zbieżność. Testujemy za pomocą rozwiązań solitonowych.
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Numerical assessment of maneuvering properties of ship with a conventional type of propulsion
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A COMPUTATIONAL ALGORITHM FOR THE NUMERICAL SOLUTION OF NONLINEAR FRACTIONAL INTEGRAL EQUATIONS
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Numerical analysis of laminated shells under in-plane axial compression
PublicationW pracy analizowana jest stateczność powłoki warstwowej poddanej osiowemu ściskaniu. Badany jest wpływ wariantów uwarstwienia oraz warunków podparcia krawędzi obciążonej na zachowanie konstrukcji. Wyniki numeryczne porównano z eksperymentem.
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Numerical Simulations of Laser and Hybrid S700MC T-Joint Welding
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Computational Techniques in Numerical Simulations of Arc and Laser Welding Processes
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Measurements and numerical simulations of laser hardening and remelting thermal cycles
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A numerical scale to assess the outcomes of metabolic/bariatric surgery (NOMS)
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APPLICATION OF NUMERICAL SIMULATIONS ON X10CRWMOVNB9-2 STEEL MULTILAYER WELDING
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Numerical study of lasing modes of periodically structured active nanowires
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Multimode systems of nonlinear equations: derivation, integrability, and numerical solutions
PublicationWe consider the propagation of electromagnetic pulses in isotropic media taking a third-order nonlinearityinto account. We develop a method for transforming Maxwell's equations based on a complete set ofprojection operators corresponding to wave-dispersion branches (in a waveguide or in matter) with thepropagation direction taken into account. The most important result of applying the method is a systemof equations describing the...
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Balance error generated by numerical diffusion in the solution of Muskingum equation
PublicationIn the paper the conservative properties of the lumped hydrological models with variable parameters are discussed. It is shown that in the case of the non-linear Muskingum equation the mass balance is not satisfied. The study indicates that the mass balance errors are caused by the improper form of equation and by the numerical diffusion which is generated in the solution. It has been shown that the classical way of derivation...
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Numerical Algorithms of Planning Safe Ship Trajectories for ARPA Systems
PublicationGłównym celem pracy było zaprojektowanie metody znajdowania bezpiecznych trajektorii statków, która byłaby prosta w implementacji, szybka (niska złożoność obliczeniowa)i deterministyczna, elastyczna (umożliwiałaby zastosowanie dowolnej domeny). Aby zrealizować cel należało zbadać bieżący stan wiedzy w dziedzinie,zaprojektować nową metodę, zaimplementować metodę (wraz ze wszystkimi niezbędnymi algorytmami) w środowisku programistycznym...
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Numerical approximations of parabolic functional differential equations on unbounded domains
PublicationSkonstruowano schematy różnicowe zagadnień początkowych dla nieliniowych parabolicznych równań różniczkowo funkcyjnych. Przedstawiono twierdzenie o oszacowaniu błędu rozwiązań przybliżonych dla równań różnicowo funkcyjnych typu Volterry z niewiadomą funkcją kilku zmiennych. Udowodniono twierdzenie o zbieżności jawnych schematów różnicowych. Podano przykłady numeryczne.
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Experimental and numerical identification of corrosion degradation of ageing structural components
PublicationThe study presents experimental and numerical identification of corrosion degradation of thin-walled structural components employing guided wave propagation. The steel structural components are subjected to through-thickness varying corrosion degradation levels. The developed approach using the non-destructive guided wave-propagation quantifies the equivalent average corrosion degradation level by exploring a limited number of...
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Numerical Analysis of Flow in Building Arrangement: Computational Domain Discretization
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Numerical assessment of ultimate strength of severe corroded stiffened plates
PublicationThe objective of this work is to investigate numerically (using the non-linear FEM and the approach stipulated by the Common Structural Rules) the severe nonuniform corrosion degradation effect on the ultimate strength of stiffened plates and compare the results to the already published experimental works. Different factors governing structural behavior of corroded stiffened plates are investigated, such as corrosion degradation level,...
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Numerical Simulation of Operating Parameters of the Ground Source Heat Pump
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Numerical prediction of steady and unsteady tip vortex cavitation on hydrofoils
PublicationArtykuł przedstawia metodę numeryczną do wyznaczania kawitujących wirów wierzchołkowych powstających za płatami nośnymi. Metoda ta jest oparta na rozwiązywanie dwufazowego turbulentnego przepływu cieczy lepkiej. Pozwala ona wyznaczyć geometrię kawitującego wiru dla różnych geometrii płata nośnego i dla różnych parametrów przepływu. Pokazano porównanie wyników obliczeń z pomiarami i rejestracjami wykonanymi na modelu płata w tunelu...
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Numerical analysis of the carpentry joints applied in the traditional wooden structures
PublicationThe paper concerns the numerical analysis of the carpentry joints made from spruce wood. The material parameters of the wood have been calculated on the basis of nine independent material constants (an orthotropic material). The contact zone between the individual elements of the connection has been determined using Contact Tables in the MSC.Marc software. Five types of carpentry joints have been analyzed. The main aim of the research...
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Numerical analysis and in situ tests of the Grot Rowecki Bridge in Warsaw
PublicationThe paper presents the FEM analysis of the reconstructed the Grot-Rowecki Bridge over Vistula river in Warsaw. The bridge has seven spans and consists of two independent structures with the longest spans of 120 m. After reconstruction the bridge is over 10 m wider. The numerical, nonlinear analysis has been con-ducted on a global and local FEM models. These models are defined so as they strictly comply with global structural bridge...
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Numerical Study of Concrete Mesostructure Effect on Lamb Wave Propagation
PublicationThe article presents the results of the numerical investigation of Lamb wave propagation in concrete plates while taking into account the complex concrete mesostructure. Several concrete models with randomly distributed aggregates were generated with the use of the Monte Carlo method. The influence of aggregate ratio and particle size on dispersion curves representing Lamb wave modes was analyzed. The results obtained for heterogeneous...
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The role of numerical tests in assessing road restraint system functionality
PublicationKey to understanding the needs and building road infrastructure management tools to prevent and mitigate run-off-road accidents is to identify hazards and their sources which are a result of wrong design, construction, and installation of road restraint systems. Building such tools requires advanced studies with field tests, simulations and models to demonstrate the effects of selected parameters on road user safety. The research...
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Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems
PublicationPraca dotyczy numerycznej aproksymacji rozwiązań zagadnień początkowo brzegowych dla układów quasiliniowych równań różniczkowo funkcyjnych pierwszego rzędu. Stosuje się metodę różnicową typu Eulera. Siatka otrzymywana jest za pomocą numerycznego rozwiązywania równań różniczkowo funkcyjnych bicharakterystyk.Stabilność schematu różnicowego jest dowodzona metodą porównawczą. O danych funkcjach zakłada się, że spełniają nieliniowe...
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Fast numerical analysis of dielectric resonators with perturbed rotational symmetry
PublicationW artykule zaprezentowano metody szybkiej analizy rezonatorow o symetrii zblizonej do osiowej metodą różnic skończonych w dziedzinie częstotliwości. Dzięki użyciu techniki rozwinęć funkcyjnych w jednorodnych obszarach uzyskano redukcję rozmiaru i znaczne przyspieszenie zbieżności problemu własnego, reprezentującegowspomniane układy. Dzięki elastycznemu sposobowi łączenia dziedzin z i bez rozwinięć funkcyjnych możliwe było zaadaptowanie...
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Theoretical and numerical analysis of free vibration of liquid-filled tanks
PublicationW pracy rozpatrywano drgania giętne belki o stałym przekroju prostokątnym wypełnionej cieczą idealną. Częstości drgań własnych i formy drgań belki wyznacza się z nieskończonych układów równań algebraicznych (30) i (54). Rozwiązania przedstawiono na wykresach.
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Experimental and numerical analysis of streamwise vortex generator for subsonic flow
PublicationW pracy przedstawiono porównanie wyników obliczeń numerycznych dwoma kodami (FLUENT i SPARC) na tle badań eksperymentalnych generatora wirów wzdłużnych. Przedstawiono wyniki dla liczb Macha przepływu głównego 0.3 i 0.8. Porównano ciśnienie całkowite w dwóch przekrojach za otworem przez który realizowany jest wydmuch. Przedstawiono strukturę wiru wzdłużnego uzyskaną dla obu programów. Średnica otworu jetu jest równa 1mm, co odpowiada...
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Application of the numerical-analytic method for systems of differential equations with parameter
PublicationThe numerical-analytic method is applied to systems of differential equations with parameter under the assumption that the corresponding functions satisfy the Lipschitz conditions in matrix notation. We also obtain several existence results for problems with deviations of an argument
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Selected numerical aspects of non linear analysis on E3xSO(3).
PublicationPraca ma charakter przeglądowy. Dotyczy numerycznych aspektów nieliniowej analizy układów sformułowanych w ramach teorii sześcioparametrowej. Rozważania dotyczą statyki i dynamiki rozważanych układów oraz specjalnych technik numerycznych stosowanych do ich analizy. Praca zawiera przykłady numeryczne.
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Experimental and numerical identification of separation zones in the cent-rifugal compressor
PublicationW pracy przedstawiono analizę przepływu w obszarze koła wirnikowego oraz dyfuzora bezłopatkowego sprężarki powietrza. Wyniki obliczeń w ramach modelu 3D (FLUENT 5.5) porównano z wynikami badań laboratoryjnych na stanowisku sprężarkowym Katedry Sprężarek w Sankt Petersburgu. Celem porównania jest ocena możliwości identyfikacji stref przepływu z oderwaniem, w ramach modeli dostępnych w wykorzystanym programie obliczeniowym. W wyniku...
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Numerical simulations of granular material flow in silos with and without insert
PublicationArtykuł omawia wyniki naporu materiału sypkiego podczas przepływu w silosach z i bez wkładek. Obliczenia wykonano wykorzystując sformułowanie ale na bazie prawa sprężysto-plastycznego według druckera-pragera. Zbadano wpływ kształtu i położenia wkładki na wielkość naporu i rodzaj przepływu.
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Numerical investigations on early indicators of fracture in concrete at meso-scale.
PublicationFracture is a major reason of the global failure of concretes. The understanding of fracture is important to ensure the safety of structures and to optimize the material behaviour. In particular an early prediction possibility of fracture in concretes is of major importance. In this paper, concrete fracture under bending was numerically analysed using the Discrete Element Method (DEM). The real mesoscopic structure of a concrete...
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Analysis of wave propagation in a bolted steel joint
PublicationThe paper presents results of numerical and experimental investigations of elastic wave propagation in a bolted single-lap joint. The research was carried out for both symmetric and antisymmetric Lamb wave modes. In experimental studies the PZT transducers were used to excite and register wave propagation signals. The controlled value of the torque during measurements was ensured by the use of high precision torque wrenches. Numerical...
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Curved Surface Minijet Impingement Phenomena Analysed with ζ-f Turbulence Model
PublicationThe jet impingement phenomenon plays an important role among the heat transfer intensification methods. Very often its application and analyses refer to simple flat surfaces, while there is a lack of information in the literature for cases addressing curved surfaces. In the present work, the single jet impingement on the non-flat (concave and convex) surface is studied for a wide range of geometries, which originate from the mini-jet...
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Torsional stability capacity of a nano-composite shell based on a nonlocal strain gradient shell model under a three-dimensional magnetic field
PublicationThis paper considers a single-walled composite nano-shell (SWCNS) exposed in a torsional critical stability situation. As the magnetic field affects remarkably nanostructures in the small size, a three-dimensional magnetic field is assessed which contains magnetic effects along the circumferential, radial and axial coordinates system. Based on the results of the nonlocal model of strain gradient small-scale approach and the first-order...
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An Efficient Simulation Method of Massive MIMO Antenna Arrays used in 5G Mobile Phones
PublicationThis paper deals with a model-order reduction method, applied to speed-up the simulations of MIMO antenna arrays, performed by means of finite element method. The obtained results of the numerical tests show that the described technique is reliable and considerably increases the efficiency of the standard finite element method.
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Rotordynamic characteristics of a chamber seal
PublicationThe paper presents the results of numerical and experimental investigations into pressure forces generated in a turbine labyrinth seal of a modernized type. The experiments were performed on a single-stage air model turbine of the impulse type. The experiments were performed on a single-stage air model turbine of the impulse type. The experimental data were compared with theoretical results obtained by means of CFD Fluent Code....
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An isogeometric finite element formulation for boundary and shell viscoelasticity based on a multiplicative surface deformation split
PublicationThis work presents a numerical formulation to model isotropic viscoelastic material behavior for membranes and thin shells. The surface and the shell theory are formulated within a curvilinear coordinate system,which allows the representation of general surfaces and deformations. The kinematics follow from Kirchhoff–Love theory and the discretization makes use of isogeometric shape functions. A multiplicative split of the surface...