Search results for: NATANSON’S FUNDAMENTAL EQUATION - Bridge of Knowledge

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Search results for: NATANSON’S FUNDAMENTAL EQUATION

Search results for: NATANSON’S FUNDAMENTAL EQUATION

  • Symmetry-Breaking Bifurcation for Free Elastic Shell of Biological Cluster, Part 2

    We will be concerned with a two-dimensional mathematical model for a free elastic shell of biological cluster. The cluster boundary is connected with its kernel by elastic links. The inside part is filled with compressed gas or fluid. Equilibrium forms of the shell of biological cluster may be found as solutions of a certain nonlinear functional-differential equation with several physical parameters. For each multiparameter this...

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  • Flexural buckling and post-buckling of columns made of aluminium alloy

    The paper concerns flexural buckling and initial post-buckling of axially compressed columns made of aluminium alloy described by the Ramberg-Osgood relationship. The non-linear differential equation of the problem is derived using the stationary total energy principle and the assumptions of classical beam theory within a finite range. The approximate analytical solution of the equation leading to the buckling loads and initial...

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  • Convergence of Monte Carlo algorithm for solving integral equations in light scattering simulations

    Publication

    The light scattering process can be modeled mathematically using the Fredholm integral equation. This equation is usually solved after its discretization and transformation into the system of algebraic equations. Volume integral equations can be also solved without discretization using the Monte Carlo (MC) algorithm, but its application to the light scattering simulations has not been sufficiently studied. Here we present implementation...

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  • Local buckling of compressed flange of cold-formed channel members made of aluminum alloy

    Publication

    The paper deals with local buckling of a compressed single flange of thin-walled channel cold- formed columns and beams made of aluminum alloy. Material is described by means of the Ramberg-Osgood constitutive equation. Axial compression of the columns and beams undergoing bending is taken into consid- eration. A simple model of the member flange in the form a long beam elastically connected to the web is used to find the critical...

  • Buckling and initial post-local buckling behaviour of cold-formed channel member flange

    Publication

    The initial post-buckling behaviour of a cold-formed channel member flange after its local buckling is investigated. An axially compressed column or beam subjected to pure bending is considered. The member material is assumed to follow a linear stress-strain relationship. The governing non-linear differential equation of the problem is derived using the minimum total potential energy principle. An approximate solution for the equation...

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  • Investigations On Water Circulation in Animal Sea-Water Basins – On the Example of Seals′ Breeding Pools

    Publication

    This paper presents general comments concerning investigations on water circulation in animal breeding pools containing sea water. As an example are given results of computer simulation of water circulation in seals’ breeding pools situated in Marine Station at Hel, belonging to Oceanographic Institute, Gdansk University. A mathematical model of three main pools was prepared with taking into account their inflow and outflow water...

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  • Analysis of the amount of retained austenite in the structure of steel rolls for sheet rolling

    Publication
    • S. Bobir
    • I. Prikhodko
    • D. Loshkarev
    • S. Zakharchuk
    • P. Krot

    - Fundamental and applied problems of ferrous metallurgy - Year 2020

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  • Water uptake in protective organic coatings and its reflection in measured coating impedance

    Water uptake in commercially available epoxy coating on mild steel using impedance spectroscopy and gravimetry was studied. The water content in the coating was determined using the Brasher-Kingsbury equation and various methods of coating capacitance calculation used in the literature. The obtained results were compared with reference gravimetric data. An overestimation of values obtained from impedance data in relation to gravimetric...

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  • Experimental and Numerical Analysis of Air Trapping in a Porous Medium with Coarse Textured Inclusions

    Publication

    - Acta Geophysica - Year 2016

    The paper presents a 2D upward infiltration experiment performed on a model porous medium consisting of fine sand background with two inclusions made of coarser sands. The purpose of the experiment was to investigate the effects of structural air trapping, which occurs during infiltration as a result of heterogeneous material structure. The experiment shows that a significant amount of air becomes trapped in each of the inclusions. Numerical...

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  • Example of tension fabric structure analysis

    Publication

    The aim of the work is to examine two variants of non-linear strain-stress relations accepted to description of architectural fabric. Discussion on the fundamental equations of the dense net model, used in description of coated woven fabric behaviour is presented. An analysis of tensile fabric structures subjected to the dead load and initial pretension is described.

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  • Directed pulse dynamics

    Publication

    Introducing a projection method into a one-dimensional model of a pulse propagation in isotropic media, we derive and investigate a system of equation describing dynamics ultrashort pulses of opposite directions ofpropagation and ones with interaction of directed pulses with different polarization.

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  • No Quantum Realization of Extremal No-Signaling Boxes

    Publication

    - PHYSICAL REVIEW LETTERS - Year 2016

    The study of quantum correlations is important for fundamental reasons as well as for quantum communication and information processing tasks. On the one hand, it is of tremendous interest to derive the correlations produced by measurements on separated composite quantum systems from within the set of all correlations obeying the no-signaling principle of relativity, by means of information-theoretic principles. On the other hand,...

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  • Evaluating experimental molecular physics studies of radiation damage in DNA*

    The field of Atomic and Molecular Physics (AMP) is a mature field exploring the spectroscopy, excitation, ionisation of atoms and molecules in all three phases. Understanding of the spectroscopy and collisional dynamics of AMP has been fundamental to the development and application of quantum mechanics and is applied across a broad range of disparate disciplines including atmospheric sciences, astrochemistry, combustion and environmental...

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  • “The Guardians of the Truth”: Journalists’ Resistance to the Algorithmization of Journalism

    Publication
    • J. Kreft
    • M. Boguszewicz-kreft
    • M. Fydrych

    - ETHOS. KWARTALNIK INSTYTUTU JANA PAWŁA II KUL - Year 2024

    Regardless of the term used, be it “robot journalism,” “automated journalism,” “algorithmic journalism” or “machine-written journalism,” the process of automatic content creation and distribution is progressing in the newsrooms. Meanwhile, exercising control over the creation and distribution of news is considered a fundamental element of journalists’ professional identity. The article presents the results of research on the perception...

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  • Kinedynamics of Spherical Wavefields in Fluid and Dielectric Continua

    Publication

    - Year 2016

    Distubances induced by physical sources in fluids or dielectrics maintain their primary character while propagating throughout either of these bi-dynamic continua. The paper defines and illustrates four sets of bi-fields based on four specific fundamental kinedynamic solutions to inhomogeneous wave equations related to quasi-point acoustic and electromagnetic sources.

  • Time-current tripping curves of arc fault detection devices

    Publication

    Tripping curves of arc fault detection devices, in accordance with PN-EN 62606 “General requirements for arc fault detection devices” have been presented in the paper. Consequently the most fundamental differences in arc fault detection devices tripping compared to circuit-breakers and residual current devices have been indicated.

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  • Local buckling of thin-walled channel member flange made of aluminum alloy

    Publication

    The paper deals with local stability of the thin-walled compressed flange of channel columns and beams made of aluminum alloy. The aim of paper is to find critical stress of local buckling of the flange member taking into account the web-flange interaction in linear and nonlinear elastic range of the member material. The governing differential equation of the problem is derived with aid of the principle of stationary total potential...

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  • PROPERTIES OF ONE DIMENSIONAL OPEN-CHANNEL STEADY FLOW EQUATIONS

    Publication

    In this paper properties of discrete forms of one dimensional steady gradually varied flow equations are discussed. Such forms of flow equations are obtained as a result of approximation of their differential forms, which is required to solve them numerically. For such purpose explicit or implicit numerical approximation schemes for ordinary differential equations can be applied. It turns out that dependently on the chosen approximation...

  • Experimental investigation of two-phase thermosyphon heat exchanger charged with acetone

    Publication

    This paper presents thermal characteristics of prototype of a two-phase thermosyphon heat exchanger (TPTHEx) charged with acetone as a working fluid. The TPTHEx consists of two horizontal cylindrical vessels connected by two risers and a downcomer. Tube bundles placed in the lower and upper cylinders work as an evaporator and a condenser, respectively. The tested TPTHEx operates in a vacuum. Therefore, the working liquid is boiled...

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  • Parametric method applicable in assessing breakout force and time for lifting slender bodies from seabed

    Publication

    The article presents a parametric method applicable in assessing the suction force of a slender body to the seabed, and prognosing the body extrication time. Along with the body weight in water, the information on the suction force is essential for assessing the force needed to lift the object from the seabed. Based on the Foda theory and the resulting integral equation, which relates the maximum suction force with basic parameters...

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  • Projecting procedure for meta-material fiber

    Publication

    - Year 2010

    We would like to show new way of derivation evolution equation for short pulses in dielectric waveguide including one model of metamaterial waveguide. This derivation model rely on projecting to the orthogonal basis. In our case to orthogonal basis for cylindrical waveguide.

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  • TQM tools in crisis management

    The current article is concerned with basic aspects connected with improvement of crisis management activities employed by economic operators. The work presents the crisis management model with its fundamental phases and identifies TQM tools that might be applied in all of these phases. The analysis included in the work has been supported with research conducted on companies located in northern Poland

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  • Determination of t8/5 cooling times for underwater local dry welding of steel

    Knowledge of thermal history is the basic condition for studying the structure - properties of welded joints. The determinant of thermal history is the thermal cycle, whose in-situ measurements are still a big challenge. Water as the welding environment complicates this issue even more. The article presents a method to determine an equation for calculating t8/5 cooling times for underwater gas metal arc welding of unalloyed steels...

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  • Verification of algorithms determining wave loads on support structure of wind turbine

    Publication

    The offshore wind turbines require determination of wave loads on their support structure. This structure is fixed and, therefore, this problem is reduced to solving only the diffraction problem, which is determined by Laplace equation and conditions on the following boundaries: on the support structure, on the sea free surface and on its bottom, and at infinity on free surface. The linear problem was applied to determine the wave...

  • Alternative convolution approach to friction in unsteady pipe flow

    In the paper some aspects of the unsteady friction in pipe flow expressed by the convolution are analyzed. This additional term introduced into the motion equation involves the accelerations of fluid occurring in the past and a weighting function. The essence of such approach is to assume the appropriate form of weighting function. However, until now no fully reliable formula for this function has been found. To avoid some inconveniences...

  • Air trapping problem during infiltration on the large areas

    Publication

    The process of flow modeling in unsaturated porous medium is often found in many fields of sciences: geology, fluid mechanics, thermodynamics, microbiology or chemistry. Problem is relatively complicated due to complexity of the system which contains three phases: water, air and soil skeleton. The flow of water in such a medium can be described using two-phase (2PH) flow formulation, which accounts the inflow of air and water phases,...

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  • Fundamentals of thermodynamics and heat transfer, W/C, GTM (WCh), sem.04, zimowy 23/24 (PG_00048767)

    e-Learning Courses
    • T. Muszyński

    Table of contents presented on the course: Basic terms.The first law of thermodynamics for closed and open systems.The properties of perfect, semi-perfect and real gases.Gas rights. Thermal and caloric state equation.Thermodynamic transformations of a perfect gas.Gaseous thermodynamic cycles. The second law of thermodynamics.Steam and steam cycles.Basics of heat exchange.

  • Cybersecurity of Enterprise Infrastructure 2023

    e-Learning Courses
    • R. Leszczyna
    • S. Ostrowski

    The aim of the course is for a student to acquire fundamental knowledge on cybersecurity management in organisations. During the course the concepts and methods associated with of an information security management system, cybersecurity standards and guidelines, cybersecurity management process, cybersecurity policy, cybersecurity threats, risk management, protection controls and the cost of the cybersecurity management will be...

  • Managing enterprise IT infrastructure and security 2022

    e-Learning Courses
    • R. Leszczyna
    • B. Woliński

    The aim of the course is for a student to acquire fundamental knowledge on cybersecurity management in organisations. During the course the concepts and methods associated with of an information security management system, cybersecurity standards and guidelines, cybersecurity management process, cybersecurity policy, cybersecurity threats, risk management, protection controls and the cost of the cybersecurity management will be...

  • Cybersecurity of Enterprise Infrastructure 2024

    e-Learning Courses
    • R. Leszczyna
    • S. Ostrowski

    The aim of the course is for a student to acquire fundamental knowledge on cybersecurity management in organisations. During the course the concepts and methods associated with of an information security management system, cybersecurity standards and guidelines, cybersecurity management process, cybersecurity policy, cybersecurity threats, risk management, protection controls and the cost of the cybersecurity management will be...

  • Time-domine Dipole Fields in acoustic and Elektromagnetics

    Publication

    - Year 2013

    The ultrawideband (UWB) radio technique presents a challenge not just for technology. The UWB carrier-free pulses act at a close distance, their electromagnetic fields being very different from classic monochromatic plane wave. The author proposes to adapt a time-domian approach to analysis of broadband spherical fields, both acoustic and electromagnetic, in fundamental cases of quasi-point physical sources.

  • Automatic detection and correction of detuned singing system for use with query-by-humming applications

    Publication

    - Year 2008

    The aim of the paper is to present an idea of using the automatic detection and correction of detuned singing as a subsystem in query-by-humming (QBH) applications. The common approach to searching for a requested song basing on the melody retrieved from hummed pattern usually employs the so-called Parsons code or melody contour. In such a case information about sound pitch is discarded. It was thought out that an additional module...

  • Improvement of the thrust bearing calculation considering the convectional heating within the space between the pads

    Publication

    - Year 2017

    A modern thrust bearing calculation tool should consider not only the oil film between pad and rotating collar but also the space between the pads. The oil flow in the space has a significant influence on the oil film inlet temperature, the convectional cooling of pad and collar and should be included in the bearing calculation methods. The authors use a tool developed at Clausthal University of Technology in cooperation with the...

  • Interaction between acoustic and non-acoustic mode in bubbly liquid

    Publication

    The nonlinear interaction of acoustic and entropy modes in a bubbly liquid is the subject of investigation. Thedynamic equation governing an excess density of the entropy mode is derived. Nonlinearity and dispersion are the reasons forexcitation of the entropy mode. The nonlinear interaction of modes as a reason for bubble to grow due to sound, is discovered.Some numerical examples of the modes interactions are made.

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  • MODELLING OF TOXIC COMPOUNDS EMISSION IN MARINE DIESEL ENGINE DURING TRANSIENT STATES AT VARIABLE PRESSURE OF FUEL INJECTION

    Publication

    - Journal of Polish CIMEEAC - Year 2014

    Transient states are an important part of the spectrum of engine loads, especially the traction engines. In the case of marine diesel engines, transient states are of particular importance in reducing the analysis of motion units for special areas and maneuvering in port, the participation of transient states in the load spectrum significantly increases, also, the emission of toxic compounds from this period increases proportionally....

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  • Nonlinear planar modeling of massive taut strings travelled by a force-driven point-mass

    Publication

    - NONLINEAR DYNAMICS - Year 2019

    The planar response of horizontal massive taut strings, travelled by a heavy point-mass, either driven by an assigned force, or moving with an assigned law, is studied. A kinematically exact model is derived for the free boundary problem via a variational approach, accounting for the singularity in the slope of the deflected string. Reactive forces exchanged between the point-mass and the string are taken into account via Lagrange...

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  • Stability analysis of interconnected discrete-time fractional-order LTI state-space systems

    Publication

    In this paper, a stability analysis of interconnected discrete-time fractional-order (FO) linear time-invariant (LTI) state-space systems is presented. A new system is formed by interconnecting given FO systems using cascade, feedback, parallel interconnections. The stability requirement for such a system is that all zeros of a non-polynomial characteristic equation must be within the unit circle on the complex z-plane. The obtained...

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  • Crystallization kinetics study of dynamically vulcanized PA6/NBR/HNTs nanocomposites by nonisothermal differential scanning calorimetry

    Publication
    • S. Paran
    • H. Vahabi
    • F. Ducos
    • K. Formela
    • P. Zarrintaj
    • A. Laachachi
    • J. Lopez
    • M. Saeb

    - JOURNAL OF APPLIED POLYMER SCIENCE - Year 2018

    Investigation of crystallization behavior and kinetics of thermoplastic elastomer nanocomposites was the subject of limited works because of complexities associated with semiexperimental modeling of such phenomenon in a system containing components having completely different behavior in the molten state. Nonisothermal crystallization kinetics of dynamically vulcanized PA6/NBR/HNTs thermoplastic elastomer nanocomposites was mathematically...

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  • Engineering Analysis with ANSYS Software Second Edition

    Publication

    - Year 2018

    The best way to learn complex systems is by means of hands-on experience. With an innovative and clear tutorial based approach, this powerful book provides a comprehensive introduction to the fundamental areas of engineering analysis needed on research or commercial engineering projects. With its detailed step-by-step explanations and sample problems, this book will develop the reader's understanding of FEA and their ability to...

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  • Verification of baffle factor for straight pipe flow

    During the water disinfection devices designing, it is often assumed that the baffle factor for a straight pipe reactors is equal to one. It would be possible only for the plug flow, which is a simplified model of the flow and does not appear in real situations. The paper contains an equation which enables calculation of the real value of the baffle factor for the pipe flow.

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  • Automatic detection and correction of detuned singing system for use with query-by-humming applications

    Publication

    The aim of the paper is to present an idea of using the automatic detection and correction of detuned singing as a subsystem in query-by-humming (QBH) applications. The common approach to searching for a requested song basing on the melody retrieved from hummed pattern usually employs the so-called Parsons code or melody contour. In such a case information about sound pitch is discarded. It was thought out that an additional module...

    Full text to download in external service

  • Mountain pass type periodic solutions for Euler–Lagrange equations in anisotropic Orlicz–Sobolev space

    Using the Mountain Pass Theorem, we establish the existence of periodic solution for Euler–Lagrange equation. Lagrangian consists of kinetic part (an anisotropic G-function), potential part and a forcing term. We consider two situations: G satisfying at infinity and globally. We give conditions on the growth of the potential near zero for both situations.

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  • Model of pressure distribution in vortex flow controls

    The paper is devoted to the vortex valve. Existing devices are described by CFD-methods, or by means of simple empirical relations. A rational method of the considered object design is proposed, on the base of the input and dissipation energy balance., what gives a simple algebraic equation. Conformity between calcul;ated and measured parameters of the vortex valve allows for acceptation of the proposed concept.

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  • REDUNDANCY AS A WAY INCREASING RELIABILITY OF SHIP POWER PLANTS

    One of key ways of assuring a high level of reliability of a ship power plant is to design redundancy of its structural elements, for example redundancy of prime drivers, drivelines etc. This paper deals with issues related to the redundancy as a way increasing dependability of the ship power and propulsion systems. Especially, fundamental characteristics of dependability, major design strategies influencing the reliability, and...

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  • Rhamnolipid CMC Prediction

    Relationships between the purity, pH, hydrophobicity (log Kow) of the carbon substrate, and the critical micelle concentration (CMC) of rhamnolipid type biosurfactants (RL) were investigated using a quantitative structure–property relationship (QSPR) approach and are presented here for the first time. Measured and literature CMC values of 97 RLs, representing biosurfactants at different stages of purification, were considered....

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  • Numerical Simulations of Seepage in Dikes Using unsaturated and Two-Phase Flow Models

    Publication

    Modeling of water flow in variably saturated porous media, including flood dikes, is often based on the Richards equation, which neglects the flow of pore air, assuming that it remains at constant atmospheric pressure. However, there is also evidence that the air flow can be important, especially when the connectivity between the pore air and atmospheric air is lost. In such cases a full two-phase air-water flow model should be...

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  • Simulations of air and water flow in a model dike during overflow experiments

    Publication

    Flow in flood dikes, earth dams, and embankments occurs in variably saturated conditions, with pores of the earth material filled partly with water and partly with air. In routine engineering analysis, the influence of pore air is neglected and the air pressure is assumed equal to atmospheric. In some circumstances, for example, during overtopping of the dike by water, the effect of pore air on water flow and stability of the structure...

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  • A facile method for Tauc exponent and corresponding electronic transitions determination in semiconductors directly from UV–Vis spectroscopy data

    Publication

    - OPTICAL MATERIALS - Year 2022

    In this work, a facile method allowing for estimation of the exponent in the Tauc equation directly from the UV–vis spectra is presented. It is based on the Taylor expansion of the logarithmic version of the Tauc equation. The Tauc exponent is calculated from the tangent slope of the absorption data. Knowledge of this coefficient provides information about the optical transition types and is used as an input for the calculations...

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  • Oxidation kinetics of Zircaloy-4 alloy at 673 K determined by GDOES technique

    Publication

    - Inżynieria Materiałowa - Year 2019

    Oxidation of zirconium alloys is a process that takes place during the operation of nuclear reactors and is essential for assessing the durability of fuel claddings. The present study was aimed to determine the oxidation kinetics of the Zircaloy-4 alloy using GDOES (glow discharge optical emission spectroscopy) at temperature 673 K corresponding to the conditions of use of fuel pellets. The tests were performed on non-oxidized...

  • Central carbon metabolism influences fidelity of DNA replication in Escherichia coli

    Publication
    • M. Maciąg
    • D. Nowicki
    • A. Szalewska-Pałasz
    • G. Węgrzyn

    - Mutation Research/Fundamental and Molecular Mechanisms of Mutagenesis - Year 2012

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