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Search results for: MODE III CRACK
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Application of computer assisted modified coupled mode method for the design of polarimetric sensors. Optical Fibres and Their Applications VIII. Białowieża 23-26 stycznia 2002. Ed. J. Dorosz, R.S. Romaniuk. Wykorzystanie zmodyfikowanej metody modów sprzężonych wspomaganej komputerem do projektowania sensorów polarymetrycznych.
PublicationW pracy przedstawiono rozszerzenie zmodyfikowanej metody modów sprzężonych,dzięki, któremu możliwe jest modelowanie szerokiej klasy światłowodów poddanych jednoczesnemu działaniu wielu zaburzeń. W metodzie tej dokonuje się numerycznego rozwiązania równania modów sprzężonych, w wyniku czego możliwa jest analiza przypadków, w których współczynniki sprzężenia modów nie są stałe wzdłuż światłowodu. W wyniku umiejętnej modyfikacji...
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Multiaxial Fatigue Behaviour of SLM 18Ni300 Steel
PublicationFatigue behaviour of SLM 18Ni300 steel under proportional bending-torsion loading is studied. The fatigue tests are conducted under pulsating loading conditions using tubular specimens with a transversal circular hole. Three ratios of the normal stress to shear stress are considered, namely σ/τ=4,σ/τ=2 and σ/τ = 4/3. Crack initiation sites were found for two diametrically opposite points around the hole, whose locations are governed...
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Optymalizacja postaci konstrukcyjnej dynamometru-uchwytu próbek badanych wwarunkach mikrooscylacji. W: [CD-ROM] III Konferencja Naukowo-Techniczna SYMULACJA 2002. Wdzydze Kiszewskie, 16 - 18 październik 2002. Tarnowskie Góry: MESco**2002 [16 s. 19 rys. bibliogr. 9 poz.]
PublicationW ramach badań tribologicznych prowadzonych w Katedrze Konstrukcji i Eksplo-atacji Maszyn Politechniki Gdańskiej zaprojektowano i skonstruowano stanowi-sko z głowicą SOOG do wyznaczenia odporności materiałów ślizgowych na zuży-cie w warunkach mikroprze-mieszczeń w płaszczyźnie ślizgania. Specyfika sta-nu obciążenia próbek z badanych materiałów, wymagała zastosowania wielu ory-ginalnych rozwiązań konstrukcyjnych. Do głównych...
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Lower rim substituted tert-butylcalix[4]arenes (II). Complexing ability of5,11,17,23-tetra-tert-butyl-25,26,27,28-tetrakis-O-(piperidinylcarbonyl)me- thylenecalix[4]arene. The crystal structures of the ligand and its sodium complex
PublicationSyntezowano kompleksy wymienionego w tytule liganda z chlorkiem sodu i azotanami itru(III), lantanu(III), samaru(III) i gadolinu(III) w reakcji liganda i odpowiedniej soli, które charakteryzowano za pomocą widm IR, UV-vis,1H NMR, FAB-MS, a także za pomocą analizy elementarnej. W reakcji wymiany z kompleksu z sodem otrzymywano kompleksy z lantanowcami. Określono strukturę krystaliczną wolnego liganda i jego kompleksu z sodem za...
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Impact response of novel layered two stage fibrous composite slabs with different support type
PublicationThe performance of novel Layered Two Stage Fibrous Composite slabs (LTSFC) was pioneered under falling mass collisions using a combined experimental and numerical study. Such LTSFC slabs consist of three layers with and without the insertion of glass fibre mesh between the layers. LTSFC techniques were used to fabricate the composite slabs with three layers including 3%, 1.5%, and 3% of fibre content for the top, middle, and...
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Sprawiedliwość agrarna Thomasa Paine’a i narodziny dyskursu egalitarnego
PublicationThomas Paine napisał Sprawiedliwość agrarną we Francji w roku 1796 w szczycie posttermidoriańskiego zamętu, krótko po wprowadzeniu Konstytucji Roku III. W swoim ostatnim wielkim pamflecie domaga się opodatkowania wielkich właścicieli ziemskich i pomoc biednym oraz wywłaszczonym. Artykuł krótko omawia propozycję Paine i analizuje jego strukturę argumentacyjną. Stawiam w niej tezę, że Paine nie do końca świadomie przechodzi od dowodu...
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Sequence-dependent structural properties of B-DNA: what have we learned in 40 years?
PublicationThe structure of B-DNA, the physiological form of the DNA molecule, has been a central topic in biology, chemistry and physics. Far from uniform and rigid, the double helix was revealed as a flexible and structurally polymorphic molecule. Conformational changes that lead to local and global changes in the helix geometry are mediated by a complex choreography of base and backbone rearrangements affecting the ability of the B-DNA...
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Systemowe ryzyko płynności w polskim systemie bankowym – determinanty i trendy
PublicationCelem rozprawy jest określenie metod pomiaru systemowego ryzyka płynności oraz pomiar tego ryzyka dla polskiego systemu bankowego za pomocą zaproponowanych metod, w oparciu o dostępne dane. Do celów rozprawy zaliczyć należy również przedstawienie problemu systemowego ryzyka płynności od strony jego wpływu na gospodarkę. Zgodnie z hipotezą główną, systemowe ryzyko płynności w polskim systemie bankowym w latach 1996-2012 wzrosło....
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Fracture of aluminium joints bonded with epoxy adhesive reinforced by mmt nanoparticles
PublicationCrack propagation behavior was studied for aluminium/aluminum adhesive joints bonded with two epoxy adhesives: pure and reinforced with clay nanoparticles. The focus was also on the novel use of the constant displacement rate test to study adhesion/adhesives efficiency. The epoxy systems studied were: Epidian E6 produced from bisphenol A and epichlorohydrin, (''Organika -Sarzyna'' Poland); pure or strengthened with montmorillonit...
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Otwarte innowacje w inicjatywach klastrowych
PublicationSpecyfika funkcjonowania inicjatyw klastrowych czyni z nich idealne podłoże do wcielania w życie idei open innovation – ułatwiają bowiem nawiązywanie kontaktów z innymi podmiotami, stawiają na otwartość swoich członków i budowę relacji opartych na zaufaniu, stanowią platformę wymiany zasobów (w tym przede wszystkim informacji i wiedzy) oraz wspólnego kreowania rozwiązań innowacyjnych. W artykule podjęto rozważania teoretyczne dotyczące...
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The use of fungi in biofiltration to remove hydrophobic volatile organic compounds
PublicationThe growing importance placed on air quality by environmental regulations and public opinion necessitate the minimization and removal of volatile organic compound emissions (VOCs), including odours. The removal of hydrophobic VOCs from the air by biological methods remains a major technical challenge (despite its importance in the shift to green engineering). A potential solution to this challenge is the use of fungi in biofiltration....
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Fracture in Asymmetric Bonded Joints
PublicationAdhesion was studied in asymmetric bonded joints using fracture mechanics tests. The asymmetric bonded joints consist of two different type and/or thickness materials bonded by an adhesive. Mentions of asymmetric bonded joint tests employed so far are rare in the literature. They are imperfect and therefore are not standardized. Accordingly three new tests were introduced in this work to study bonded joints. The new metrological...
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Coda wave interferometry in monitoring the fracture process of concrete beams under bending test
PublicationEarly detection of damage is necessary for the safe and reliable use of civil engineering structures made of concrete. Recently, the identification of micro-cracks in concrete has become an area of growing interest, especially using wave-based techniques. In this paper, a non-destructive testing approach for the characterization of the fracture process was presented. Experimental tests were made on concrete beams subjected to mechanical...
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Fatigue life improvement using low transformation temperature weld material with measurement of residual stress
PublicationWelding processes often produce high levels of tensile residual stress. Low transformation temperature (LTT) welding wires utilise phase transformation strains to overcome the thermal contraction of a cooling weld. In this paper, the residual stress within each weld was quantified using the milling/strain gauge method, being the strain change measured as the weldment was milled away. The fatigue tests were conducted under uniaxial...
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Corrigendum to “Fatigue life improvement using low transformation temperature weld material with measurement of residual stress” [Int. J. Fatigue 164 (2022) 107137]
PublicationWelding processes often produce high levels of tensile residual stress. Low transformation temperature (LTT) welding wires utilise phase transformation strains to overcome the thermal contraction of a cooling weld. In this paper, the residual stress within each weld was quantified using the milling/strain gauge method, being the strain change measured as the weldment was milled away. The fatigue tests were conducted under uniaxial...
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Przykłady kształcenia online na Politechnice Gdańskiej - stan obecny i per- spektywy rozwoju. W: [CD-ROM] III Konferencja i Warsztaty. Uniwersytet Wir- tualny: ''Model, narzędzia i praktyka''. Warszawa, 5-7 czerwca 2003 r. War-szawa: P. Warsz.**2003 Sesja 5.06.03, [8 s.]
PublicationW artykule przedstawiona jest aktualna oferta CEN PG oraz możliwości jej wy-korzystania na Wydziale Inzynierii Lądowej w studiach doktoranckich i uzupe-łniających (V Program Ramowy UE, Centra Doskonałości, CURE - Centre for Ur-ban Construction and Rehabilitation:Technology, Transfer, Research and Edu-cation). Pokazano przykład współpracy CEN PG z Programem GAMBIT (Krajowy Program Bezpieczeństwa Ruchu Drogowego), której efektem...
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Long-range, water-mediated interaction between a moderately active antifreeze protein molecule and the surface of ice
PublicationUsing molecular dynamics simulations, we show that a molecule of moderately active antifreeze protein (type III AFP, QAE HPLC-12 isoform) is able to interact with ice in an indirect manner. This interaction occurs between the ice binding site (IBS) of the AFP III molecule and the surface of ice, and it is mediated by liquid water which separates these surfaces. As a result, the AFP III molecule positions itself at a specific orientation...
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Comprehensive analysis of low-temperature methods for reclaiming of ground tire rubber
PublicationManagement of waste tires has become an important topic for decades. The lack of an effective method to manage the materials as mentioned above leads to illegal landfills. This problematic waste can be divided into two main categories depending on the physical condition of the waste: (i) partially used tires; (ii) end-of-life tires. While the first group can be reused or retreaded, the second group requires special measures to...
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Anticancer Study on IrIII and RhIII Half-Sandwich Complexes with the Bipyridylsulfonamide Ligand
PublicationTwo non-platinum compounds, organometallic half-sandwich complexes [(η 5 -Cp)IrCl(L)]PF 6 (1) and [(η 5 -Cp)RhCl(L)]PF 6 (2) were prepared by treating pentamethylcyclopentadienyl chloride dimers of iridium(III) or rhodium(III) with the obtained 4-amino-N-(2,2'-bipyridin-5- yl)benzenesulfonamide ligand (L) and ammonium hexafluorophosphate. The crystal structures of ligand (L) and complexes 1 and 2 were obtained and then analyzed. Coordination...
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Innowacyjny moduł ultradźwiękowy systemu monitoringu technicznego mostu podwieszonego w Rzeszowie
PublicationW artykule przedstawiono system monitoringu technicznego konstrukcji mostu podwieszonego nad rzeką Wisłok. System będzie wyposażony w dodatkowy moduł ultradźwiękowy umożliwiający śledzenie degradacji mechanicznej betonu w pylonie mostu. Wczesne wykrywanie stref mikropęknięć, przed pojawieniem się widocznych rys, umożliwia monitorowanie amplitud propagującej fali ultradźwiękowej oraz analizę sygnałów w dziedzinie częstotliwości.
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Damage Analysis of Tensioning Cable Anchorage Zone of a Bridge Superstructure, Using CDP Abaqus Material Model
PublicationNumerical analysis of the tensioning cables anchorage zone of a bridge superstructure is presented in this paper. It aims to identify why severe concrete cracking occurs during the tensioning process in the vicinity of anchor heads. In order to simulate the tensioning, among others, a so-called local numerical model of a section of the bridge superstructure was created in the Abaqus Finite Element Method (FEM) environment. The...
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Synthesis of compounds with C-P-P and C=P-P bond systems based on the phospha-Wittig reaction
PublicationA reactivity study of a β-diketiminate titanium(III) phosphanylphosphido complex [MeNacNacTi(Cl){η2-P(SiMe3)-PtBu2}] (1) towards ketones such as benzophenone, 9-fluorenone, acetophenone, cyclopentanone, cyclohexanone and cycloheptanone is reported. The reactions of 1 with aromatic ketones (without α-protons) directly lead to the Ti(III) complex [MeNacNacTi(μ2-Cl)(OSiMe3)] (5) as well as Ti(IV) complexes with the pinacol condensation...
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Magnetosonic Excitation of the Entropy Perturbations in a Plasma with Thermal Conduction Depending on Temperature
PublicationNonlinear excitation of the entropy perturbations by magnetosonic waves in a uniform and infinite plasma model is considered. The wave vector of slow or fast mode forms an arbitrary angle (0 B B ) with the equilibrium straight magnetic field, and all perturbations are functions of the time and longitudinal coordinate. Thermal conduction is the only factor which destroys isentropicity of wave perturbations and causes the nonlinear...
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Comparative Study of Taste Substance Sensing by Liquid Membrane Oscillator and Electrochemical Systems With All-Solid-State Electrodes
PublicationIn food industry, different types of sensors are used for characterizing and quantifying taste substances. Therefore, it is important to establish the principal advantages and disadvantages of these sensors for optimal application. In this paper, two possible systems are compared for sensing the four fundamental tastes: sour (citric acid), salty (sodium chloride), sweet (sucrose), and bitter (caffeine or quinine hydrochloride). One...
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Microcrack monitoring and fracture evolution of polyolefin and steel fibre concrete beams using integrated acoustic emission and digital image correlation techniques
PublicationThe use of polymer and steel fibres in plain concrete appears to be an excellent solution for limiting crack propagation and improving the post-ductility performance of concrete structures. Based on this premise, this study investigated the fracture evolution of polyolefin fibre-reinforced concrete (PFRC) and steel fibre-reinforced concrete (SFRC) specimens through the integrated application of two diagnostic techniques, acoustic...
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The experimental and numerical investigation of fracture behaviour in PMMA notched specimens under biaxial loading conditions – Tension with torsion
PublicationThis paper presents the results of experimental fracture test of flat PMMA specimens under biaxial loading condition tension with torsion (proportional). The specimens were made in two thicknesses: 5 and 15 mm and were weakened with V-type edge notches with different root radii: 0.5; 2 and 10 mm. Thanks to the ARAMIS 3D 4 M non-contact vision system, measurement of the elongation and twist angle were recorded. During experimental...
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Effect of adhesive compliance in the assessment of soft adhesives with the wedge test
PublicationWedge tests are usually analysed assuming that the free, unbonded members may be treated as encastré cantilever beams. However, if the adhesive layer is sufficiently flexible (e.g., due to low elastic modulus), then significant strain in the bonded region may occur and lead to modification of the behaviour outside this region. Using in conjunction a sensitive strain gauge method on asymmetric wedge tests and a mathematical analysis...
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Impact damage in SiO2 nanoparticle enhanced epoxy – Carbon fibre composites
PublicationLow velocity impact behaviour of nano-SiO2 enhanced carbon fibre/epoxy composites for naval applications is reported. Epoxy resin matrix was enhanced by 1- 8 wt% SiO2 nanoparticles, based on industrial surface-modified nanosilica. Impact parameters: force, deformation, energy, damage size were recorded. The most pronounced effect was damage size decrease; e.g. ∼28% recorded by infrared thermography and X-ray computed radiography...
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Interaction of Acoustic and Thermal Modes in the Gas with Nonequilibrium Chemical Reactions: Possibilities of Acoustic Cooling
PublicationNonlinear generation of thermal mode during propagation of dominative sound in a chemically reacting gas is considered. The dynamic equation of excess temperature associated with the thermal mode is derived. It is instantaneous and includes quadratic nonlinear acoustic source reflecting the nonlinear character of interaction between acoustic and non-acoustic types of gas motion. Both periodic and aperiodic sound may be considered...
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The publication of the European Commission's guidelines in an official language of a new Member State as a condition for their application.Case comment to the order of the Polish Supreme Court of 3 September 2009 (Ref. No. III SK 16/09) to refer a preliminary question to the Court of Justice of the European Union (C-410/99 Polska Telefonia Cyfrowa sp. z o.o. v Prezes Urzędu Komunikacji Elektronicznej)
PublicationThe case comment concentrates on two issues. In the first place, it contains an analysis of the legal character of the European Commission Guidelines on market analysis and the assessment of significant market power under the Community regulatory framework for electronic communications networks and services. Secondly, it analyses the consequences of the lack of publication of those Guidelines in Polishlanguage in the Official Journal...
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Nonlinear phenomena of small-scale sound in a gas with exponential stratification
PublicationThe nonlinear dynamics of perturbations, quickly varying in space, with comparatively large characteristic wavenumbers k: k>1/H, is considered. H is the scale of density and pressure reduction in unperturbed gas, as the coordinate (H is the so-called height of the uniform equilibrium gas). Coupling nonlinear equations which govern the sound and the entropy mode in a weakly nonlinear flow are derived. They describe the dynamics...
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EMI attenuation in a DC-DC buck converter using GaN HEMT
PublicationA dc-dc buck converter using gallium nitride (GaN) high electron mobility transistors (HEMT) is experimentally investigated at the discontinuous current mode (DCM) and at the triangular current mode (TCM) operation. The paper objective is to specify the power conversion efficiency and attenuation of common mode (CM) and differential mode (DM) noise voltage, measured at the line impedance stabilization network (LISN) for compared...
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Designate of CTOD for WM and HAZ, report no: WOiO/II/122/2014
PublicationTypical (normative) testing of materials and/or welded joints do not answer on all questions about material or welded joint properties. In ship building and off-shore sectors, many strucures requires materials and joint with higher than typical fatigue resistance. Imact tests, which are carried out during welding technology qualification, gives answer about ductility, CTOD tests results about material or welded joint ability to...
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CTOD designation for WM and HAZ in butt joint made from S460 ML steel, Expertise No. WOiO/II/82/2015
PublicationTypical (normative) testing of materials and/or welded joints do not answer on all questions about material or welded joint properties. In ship building and off-shore sectors, many strucures requires materials and joint with higher than typical fatigue resistance. Imact tests, which are carried out during welding technology qualification, gives answer about ductility, CTOD tests results about material or welded joint ability to...
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Designate CTOD of Weld Metal of butt weld, No WOiO/II/108/2013
PublicationTypical (normative) testing of materials and/or welded joints do not answer on all questions about material or welded joint properties. In ship building and off-shore sectors, many strucures requires materials and joint with higher than typical fatigue resistance. Imact tests, which are carried out during welding technology qualification, gives answer about ductility, CTOD tests results about material or welded joint ability...
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Designate CTOD Heat Affected Zone of butt weld, Report No: WOiO/II/76/2013
PublicationTypical (normative) testing of materials and/or welded joints do not answer on all questions about material or welded joint properties. In ship building and off-shore sectors, many strucures requires materials and joint with higher than typical fatigue resistance. Imact tests, which are carried out during welding technology qualification, gives answer about ductility, CTOD tests results about material or welded joint ability...
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Przekształtniki tranzystorowe działające w trybie prądu trójkątnego
PublicationPrzekształtniki oparte na węgliku krzemu mogą być analizowane jako źródła napięcia lub prądu niezależnie od topologii przy odpowiednich parametrach filtru wyjściowego. Szczególnie interesujące są falowniki napięcia działające w trybie prądu trójkątnego. W referacie przedstawiono sterowanie trójfazowym falownikiem napięcia posiadającym właściwości źródła prądu. Pokazano, jak dobrać parametry filtru wyjściowego falownika. Oceniono...
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Vortex flow caused by periodic and aperiodic sound in a relaxing maxwell fluid
PublicationThis paper concerns the description of vortex flow generated by periodic and aperiodic sound in relaxing Maxwell fluid. The analysis is based on governing equation of vorticity mode, which is a result of decomposition of the hydrodynamic equations for fluid flow with relaxation and thermal conductivity into acoustical and non-acoustical parts. The equation governing vorticity mode uses only instantaneous, not averaged over sound...
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Modeling by finite element methods of impact of erosion on frequency of normal modes of L-0 blade
PublicationAfter some time of exploitation steam turbine rotors blades in energetic industry they are being eroded and also their frequency of normal modes is changed. Those changes can cause to unwanted shift of blades normal mode frequencies. It is necessary to find quick method of rating changes of frequency in connection of mass loss due erosion. The evaluation of this dependence was made by finite element modeling method using HyperWorks...
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Efektywność flotacji jonowej i precypitacyjnej mieszaniny jonów cynku i glinu
PublicationPrzedmiotem badań była ocena wpływu pH surówki oraz stężenia kolektora na efektywność półperiodycznych flotacji jonowej i precypitacyjnej, zachodzących w roztworach zawierających mieszaniny jonów Zn(II) i Al(III). Stwierdzono, iż w warunkach flotacji jonowej, zachodzących w roztworach kwaśnych, występuje konkurencja pomiędzy flotowanymi kationami w tworzeniu związków z kolektorem. Dla roztworów o pH>11 możliwa jest selektywna flotacja...
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Just look at to open it up: A biometric verification facility for password autofill to protect electronic documents
PublicationElectronic documents constitute specific units of information, and protecting them against unauthorized access is a challenging task. This is because a password protected document may be stolen from its host computer or intercepted while on transfer and exposed to unlimited offline attacks. The key issue is, therefore, making document passwords hard to crack. We propose to augment a common text password authentication interface...
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Applying molecular dynamics simulation to take the fracture fingerprint of polycrystalline SiC nanosheets
PublicationGraphene-like nanosheets are the key elements of advanced materials and systems. The mechanical behavior of the structurally perfect 2D nanostructures is well documented, but that of polycrystalline ones is less understood. Herein, we applied molecular dynamics simulation (MDS) to take the fracture fingerprint of polycrystalline SiC nanosheets (PSiCNS), where monocrystalline SiC nanosheets (MSiCNS) was the reference nanosheet....
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Lower rim substituted tert-butylcalix[4]arenes.Part 8: Calix[4]arenes with dialkoxyphosphoryl functions. Synthesis and complexing properties
PublicationW pracy przedstawiono syntezę i charakterystykę otrzymanych związków (1, 2), pochodnych alkoksyfosforylowych p-tert-butylokaliks[4]arenu: 5,11,17,23-tetra-tert-butylo-25,26,27,28-tetrakis(3-diizopropoksyfosforylopropoksy)kaliks[4]arenu (1) oraz 5,11,17,23-tetra-tert-butylo-25,26,27,28-tetrakis(3-methoksyetoksyfosforylopropoksy)kaliks[4]arenu (2). Zbadano właściwości jonoforowe związków 1 i 2 w membranie elektrod jonoselektywnych,...
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Induction machine behavioral modeling for prediction of EMI propagation.
PublicationThis paper presents the results of wideband behavioral modeling of an induction machine (IM). The proposed solution enables modeling the IM differential- and common-mode impedance for a frequency range from 1 kHz to 10 MHz. Methods of parameter extraction are derived from the measured IM impedances. The developed models of 1.5 kW and 7.5 kW induction machines are designed using the Saber Sketch scheme editor and simulated in the...
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Digital phase-location system for marine applications
PublicationThis paper presents concept and implementation of digital phase-location system, designed as a navigational aid for marine applications. Main feature of proposed system is the ability to work in both synchronous mode, with one master station and set of slave stations synchronized with master, and in asynchronous mode with independent clocking of all stations.
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Asynchronous phase-location system
PublicationThis paper presents concept and implementation of digital phase-location system, designed as a navigational aid for marine applications. The main feature of the proposed system is the ability to work in both synchronous mode, with one master station and set of slave stations synchronised with master, and in asynchronous mode with independent clocking of all stations.
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Spurious Modes in Model Order Reduction in Variational Problems in Electromagnetics
PublicationIn this work, we address an everlasting issue in 2 model order reduction (MOR) in electromagnetics that has 3 remained unnoticed until now. Contrary to what has been 4 previously done, we identify for the very first time spurious 5 modes in MOR for time-harmonic Maxwell’s equations and 6 propose a methodology to remove their negative influence on the 7 reduced order model (ROM) response. These spurious modes 8 have nonzero resonance...
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Arte Algarve 2010
PublicationArte Algarve III, Międzynarodowa Wystawa Sztuki Współczesnej z udziałem 90 artystów. Jacek Krenz wystawił 6 obrazów akrylowych na płótnie oraz 20 akwarel.
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Acoustic heating produced in the thermoviscous flow of a Bingham plastic
PublicationThis study is devoted to the instantaneous acoustic heating of a Bingham plastic. The model of the Bingham plastic's viscous stress tensor includes the yield stress along with the shear viscosity, which differentiates a Bingham plastic from a viscous Newtonian fluid. A special linear combination of the conservation equations in differential form makes it possible to reduce all acoustic terms in the linear part of of the final equation...
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Acoustic heating produced in the thermoviscous flow of a bingham plastic
PublicationThis study is devoted to the instantaneous acoustic heating of a Bingham plastic. The model of the Bingham plastic's viscous stress tensor includes the yield stress along with the shear viscosity, which differentiates a Bingham plastic from a viscous Newtonian fluid. A special linear combination of the conservation equations in differential form makes it possible to reduce all acoustic terms in the linear part of of the final equation...