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Search results for: NONLINEAR STATIC ANALYSES
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Micro-modelling of shear localization during quasi-static confined granular flow in silos using DEM
PublicationThe paper deals with the quasi-static confined flow of cohesionless sand in a plane strain model silo with parallel walls and a slowly movable bottom. Numerical modelling was carried out by the discrete element method (DEM) using spheres with contact moments to approximately capture a non-uniform shape of sand particles. Different initial void ratios of sand and silo wall roughness grades were employed. Regular triangular grooves...
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Geometrically Nonlinear Analysis of Functionally Graded Shells Based on 2-D Cosserat Constitutive Model
PublicationIn this paper geometrically nonlinear analysis of functionally graded shells in 6-parameter shell theory is presented. It is assumed that the shell consists of two constituents: ceramic and metal. The mechanical properties are graded through the thickness and are described by power law distribution. Formulation based on 2-D Cosserat constitutive model is used to derive constitutive relation for functionally graded shells. Numerical...
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A new anisotropic bending model for nonlinear shells: Comparison with existing models and isogeometric finite element implementation
PublicationA new nonlinear hyperelastic bending model for shells formulated directly in surface form is presented, and compared to four existing prominent bending models. Through an essential set of elementary nonlinear bending test cases, the membrane and bending stresses of each model are examined analytically. Only the proposed bending model passes all the test cases, while the other bending models either fail or only pass the test cases for...
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Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations
PublicationThis work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission. We show that these models can generically display a form of mixed-mode oscillations (MMOs), which are trajectories featuring an alternation of small oscillations with spikes or bursts (multiple consecutive spikes). The mechanism by...
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Unusual dynamics and nonlinear thermal self-focusing of initially focused magnetoacoustic beams in a plasma
PublicationUnusual thermal self-focusing of two-dimensional beams in plasma which axis is parallel to the equilibrium straight magnetic field is considered. The equi- librium parameters of plasma determine scenario of a beam divergence (usual or unusual) which is stronger as compared with a flow without magnetic field. Nonlinear thermal self-action of a magnetosonic beam behaves differently in the ordinary and unusual cases. Damping of wave...
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Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike-adding and chaos
PublicationIn a series of two papers, we investigate the mechanisms by which complex oscillations are generated in a class of nonlinear dynamical systems with resets modeling the voltage and adaptation of neurons. This first paper presents mathematical analysis showing that the system can support bursts of any period as a function of model parameters, and that these are organized in a period-incrementing structure. In continuous dynamical...
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Mechatronic design o strongly nonlinear systems on a basis of three wheeled mobile platform
PublicationRemarkable grow in demand both of mobile platform operability performance and reduction of project leading time development encourage to apply modern algorithms and reliable engineering tools for the design process. The paper discusses the mechatronic design applied for the surveillance system based on the energy performance index algorithm. The exploited mechatronic techniques i.e. virtual prototyping, Hardware-In-the-Loop Simulation...
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Effect of Compounding Conditions on Static and Dynamic Mechanical Properties of High Density Polyethylene/Ground Tire Rubber Blends
PublicationSearching for new and cost-effective methods of waste rubber recycling is a subject of research in many scientific centers in the world. In this paper there are presented results of the research of the extrusion process of cheap and environmentally friendly thermoplastic compositions containing 50 % wt. of masses of ground tire rubber (GTR). The aim of this study was to determine the relationship between the mixing conditions and...
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Stress-driven nonlocal elasticity for nonlinear vibration characteristics of carbon/boron-nitride hetero-nanotube subject to magneto-thermal environment
PublicationStress-driven nonlocal theory of elasticity, in its differential form, is applied to investigate the nonlinear vibrational characteristics of a hetero-nanotube in magneto-thermal environment with the help of finite element method. In order to more precisely deal with the dynamic behavior of size-dependent nanotubes, a two-node beam element with six degrees-of freedom including the nodal values of the deflection, slope and curvature...
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NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
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Employment of a Nonlinear Adaptive Control System for Improved Control of Dissolved Oxygen in Sequencing Batch Reactor
PublicationA proper control in a complex system, such as Wastewater Treatment Plant (WWTP) with each year is becoming increasingly important. High quality control can minimize an environmental impact as well as reduce operational costs of the WWTP. One of the core issues is providing adequate dissolved oxygen (DO) concetration for microorganisms used in a treatment process. An aeration process of the wastewater realised by an system consisting...
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Modelling of shear zones during quasi-static granular silo flow using material point method (MPM)
PublicationThe paper focuses on confined silo flow of cohesionless sand. The problem considered is a quasi-static flow in a plane strain model silo with parallel walls simulated with the material point method (MPM). The simulation used a non-local hypoplastic constitutive model. Initially, the paper validated the implemented numerical approach with basic element tests and a plane strain compression test. The subsequent MPM calculations for...
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Linear and nonlinear Stark effect in a triangular molecule
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Identification of nonlinear viscoelastic properties of the ''Panama'' fabric
PublicationTkanina techniczna Panama wytwarzana przez firmę Sattler (Niemcy)wykazuje cechy nieliniowe w tym właściwości lepkosprężyste w czasie testów długoterminowych. Na podstawie jednoosiowych testów płynięcia i regeneracji przeprowadzonych dla pięciu poziomów obciążenia przeprowadzono identyfikacje nieliniowych lepkosprężystych właściwości tkaniny. Do opisu zależności konstytutywnych użyto całkowego modelu Schapery'ego. Zastosowano funkcję...
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A nonlinear approach to modelling gas bubble deformation.
PublicationPrzedstawiono model wyjaśniający wpływ deformacji pęcherzyka na występowanie zjawiska chaosu podczas generowania pęcherzyków gazowych z pojedynczej dyszy zanurzonej w cieczy.
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On delay differential equations with nonlinear boundary conditions
PublicationStosując metodę iteracji monotonicznych podano warunki dostateczne na istnienie kwazirozwiązań lub ekstremalnych rozwiązań rozpatrywanego zagadnienia. Problem jednoznaczności rozwiązania był również przedmiotem badań. Zajmowano się również nierównościami różniczkowymi z opóżnionymi argumentami.
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Advanced differential equations with nonlinear boundary conditions.
PublicationBadano problemy istnienia rozwiązań dla równań różniczkowych z nielinowymi warunkami brzegowymi. Podano też warunki dostateczne na istnienie rozwiązań ekstremalnych. Przedmiotem badań były również nierówności różniczkowe z wyprzedzonym argumentem.
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<title>Measurements of nonlinear optical fibers</title>
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Ordinar differential equations with nonlinear boundary conditions
PublicationPraca dotyczy zwyczajnych równań różniczkowych z nieliniowymi warunkami brzegowymi. Sformułowano warunki dostateczne na istnienie rozwiązania (jedynego lub ekstremalnych) zakładając pewną regularność na prawe strony równania i warunek brzegowy. Warunki brzegowe typu okresowego lub antyokresowego są szczególnymi przypadkami ogólnego warunku dyskutowanego w tej pracy.
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Enhancing seismic performance of rigid and semi-rigid connections equipped with SMA bolts incorporating nonlinear soil-structure interaction
PublicationNowadays, using smart connections can improve the performance of buildings with some recentering features that are from the superelastic behavior of Shape Memory Alloys (SMAs). It seems that there is different rigidity between the designed connection and the real one in Steel Moment-Resisting Frames (SMRFs), which can be considered as a problematic issue due to the importance of connections in seismic performance assessment. This...
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A modified static equivalency method for roll-on/roll-off vessels
PublicationPrzedstawiono zmodyfikowaną metodę statycznej równoważności dla statków ro-ro, opartą na wypiętrzaniu się wody na pokładzie samochodowym w wypadku wystąpienia otworu w burcie, do oceny bezpieczeństwa statku.
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Simple Selection Procedure to Distinguish between Static and Flexible Loops
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Computational modelling of concrete behaviour under static and dynamic conditions
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Modelling and static analysis of thin-walled structures, problems and applications
PublicationW pracy przedstawiono pewne problemy związane z modelowaniem i analizą statyczną konstrukcji cienkościennych: belek, ram i rusztów zbudowanych z elementów o bisymetrycznym przekroju poprzecznym. Zachowanie elementów opisano za pomocą klasycznej teorii prętów cienkościennych o przekroju nieodkształcalnym. Uwzględniono tym samym efekty bimomentowe od skręcania belek. Niestyty brakuje koniecznych do przeprowadzenia analizy styacznej...
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Thermal analysis and static strength of polyurethanes obtained from glycolysates
PublicationPrzeprowadzono analizę termiczną i zbadano właściwości wytrzymałościowe poliuretanów otrzymanych z glikolizatów o różnej budowie chemicznej. Glikolizaty pozyskiwano w procesie recyklingu surowcowego odpadów poliuretanowych o niskiej gęstości. Środkiem glikolizującym był propano-1,3-diol. Poliuretany z glikolizatów syntezowano metodą prepolimerową z MDI i BDO jako przedłużacza łańcuchów. Nie stosowano katalizatorów.
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Static and sensitivity analysis of thin-walled beams and frames with stiffeners.
PublicationPraca zawiera tekst referatu wygłoszonego w Maastricht. Przedstawiono analizę statyczną oraz analizę wrażliwości belek i ram zbudowanych z cienkościennych elementów, poddanych skręcaniu lub zginaniu ze skręcaniem, z możliwością zastosowania różnego typu stężeń . Wykorzystano technikę superelementu do wyznaczenia macierzy sztywności węzła ramy i elementów ze stężeniami. Otrzymane wyniki dla modelu jednowymiarowego MES porównano...
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Crack identification using wavelets on experimental static deflection profiles
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Quasi-static finite-element analysis of a skewed microstrip crossover
PublicationPrzedstawiono quasi statyczną analizę skrzyżowania mikroskopowego na podłożu dielektycznym. Mikropaski znajdują się na różnych warstwach układu planarnego i mogą krzyżować się pod dowolnym kątem. Pojemności i indukcyjności obliczane są na podstawie rozkładu potencjałów skalarnych. W sformułowaniu zagadnienia magnestatycznego warunki brzegowe dla potencjału skalarnego wprowadzono za pomocą powierzchni rozcięcia dziedziny analizy....
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Low Frequency Conducted Emissions of Grid Connected Static Converters
PublicationPulse-width modulated rectifiers are nowadays commonly used for AC to DC power conversion. PWM rectification technology is very effective and allows for bidirectional power flow with the possibility of power factor improvement and low-order harmonic emission limitation. Unfortunately, employed PWM boost topology results with generation of input current harmonic distortions in a frequency range tightly correlated to modulation frequency....
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On fatigue safety of metallic elements under static and dynamic loads.
PublicationGłównym celem monografii było wyznaczenie współczynników bezpieczeństwa i kryteriów projektowych z uwzględnieniem wpływu obciążeń statycznych oraz naprężeń średnich i resztowych na wytrzymałość zmęczeniową przy obciążeniach okresowych i/lub stochastycznych. Uzyskano to za pomocą wyznaczonych naprężeń równoważnych i równania Soderberga. Otrzymano kryteria w postaci zamkniętej i zgodnej z wzorem Milesa na trwałość zmęczeniową oraz...
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Computational modelling of concrete behavior under static and dynamic conditions
PublicationW artykule zaproponowano wyniki obliczeń MES dla betonu podczas dynamicznego obciążenia. Przyjęto model sprężysto-plastyczno-lepki z nielokalnym osłabieniem. Obliczenia MES dla elementów betonowych pod obciążeniem dynamicznym o różnej prędkości obciążenia porównano bezpośrednio z doświadczeniami.
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Linear and nonlinear impedance in iron oxide glasses containing alkaline ions and alkali free
PublicationThe linear and nonlinear impedance spectra of oxide glasses were measured in the frequency range of 1 mHz to 1 MHz and in the temperature range of 153K to 483K. Two groups of iron oxide glass samples were prepared, the first one containing alkaline ions and the second one without alkali. In the first group, compositions of glasses were as follows: (in %mol) 50% SiO2 , 25% PbO, 15% Fe2O3 and 15% one of alkaline oxides: Na2O, K2O,...
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Inverse Nonlinear Eigenvalue Problem Framework for the Synthesis of Coupled-Resonator Filters With Nonresonant Nodes and Arbitrary Frequency-Variant Reactive Couplings
PublicationA novel, general circuit-level description of coupledresonator microwave filters is introduced in this article. Unlike well-established coupling-matrix models based on frequency-invariant couplings or linear frequency-variant couplings (LFVCs), a model with arbitrary reactive frequencyvariant coupling (AFVC) networks is proposed. The engineered formulation is more general than prior-art ones—with the only restriction that the coupling...
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Mechanical response of human thoracic spine ligaments under quasi-static loading: An experimental study
PublicationPurpose This study aimed to investigate the geometrical and mechanical properties of human thoracic spine ligaments subjected to uniaxial quasi-static tensile test. Methods Four human thoracic spines, obtained through a body donation program, were utilized for the study. The anterior longitudinal ligament (ALL), posterior longitudinal ligament (PLL), capsular ligament (CL), ligamenta flava (LF), and the interspinous ligament and...
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Nonlinear impedance of vanadate glass-ceramics containing BaTiO3
Open Research DataThe nonlinear impedance of vanadate glasses doped with BaTiO3 was measured. Samples of the composition of x[BaO,TiO2]–(80 − x)V2O5–20Bi2O3 where x = 5, 10 and 15 in mol% were prepared by a conventional melt quenching technique. The melting was performed in alumina crucibles at the temperature of 1273 K–1373 K. The melts were poured on a preheated (573...
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Multi split functional model of geodetic observations in deformation analyses of the Olsztyn castle
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Numerical Analyses of Fracture Mechanism of the Pelvic Ring during Side-Impact Load
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FEM (Finite Element Method) Numeric Analyses of the Syrenka S201 Car Model
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Multifaceted Analyses of Four Different Prototype Lightweight Photovoltaic Modules of Novel Structure
PublicationDynamic growth of photovoltaic capacity in Poland encourages many entities to invest in photovoltaic systems. However, in the case of buildings with low roof-bearing capacity it can be problematic or even impossible to mount conventional PV modules due to their relatively high weight. Hence, the use of lightweight PV modules is a potential solution. In this paper four different prototype silicon lightweight modules of novel structure...
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Synchronic digital stereophotography and photogrammetric analyses in monitoring the flow of liquids in open channels
PublicationThe authors present the results of their research into photogrammetric documents based on synchronic digital images. Examples presented in the paper indicate the value of synchronic stereophotography in registering phenomena connected with liquids. Combining synchronic stereophotography with photogrammetric methods has allowed the authors to develop an application useful for monitoring the flow of a liquid in an open channel.
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The results of analyses of deep excavation walls using two different methods of calculation
PublicationPrzedstawiono wyniki obliczeń obudowy głębokiego wykopu dwukrotnie rozpieranej i dwukrotnie kotwionej w gruncie jednorodnym niespoistym. Obliczenia numeryczne wykonano metodą podpór sprężysto-plastycznych i metodą elementów skończonych. Zwrócono uwagę na istotne różnice w wynikach obliczeń. Zaproponowano wyjaśnienie przyczyn zaobserwowanych różnic w wynikach obliczeń otrzymanych z obu metod.
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Experiments and FE analyses on airborne sound properties of composite structural insulated panels
PublicationArtykuł przedstawia wyniki doświadczalne i numeryczne odnośnie właściwości akustycznych paneli budowlanych. Jako panele zastosowano płyty kompozytowe konstrukcyjno-izolacyjne CSIP. Obliczenia numeryczne wykonano MES stosując podejście zaproponowane w pakiecie ABAQUS. Wyniki MES porównano bezpośrednio z doświadczeniami. Zaproponowano różne spsoby poprawy właściwości akustycznych paneli.
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Nonlocal Vibration of Carbon/Boron-Nitride Nano-hetero-structure in Thermal and Magnetic Fields by means of Nonlinear Finite Element Method
PublicationHybrid nanotubes composed of carbon and boron-nitride nanotubes have manifested as innovative building blocks to exploit the exceptional features of both structures simultaneously. On the other hand, by mixing with other types of materials, the fabrication of relatively large nanotubes would be feasible in the case of macroscale applications. In the current article, a nonlinear finite element formulation is employed to deal with...
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Application of discrete wavelet transform in seismic nonlinear analysis of soil–structure interaction problems
PublicationSimulation of soil-structure interaction (SSI) effects is a time-consuming and costly process. However, ignoring the influence of SSI on structural response may lead to inaccurate results, especially in the case of seismic nonlinear analysis. In this paper, wavelet transform methodology has been utilized for investigation of the seismic response of soil-structure systems. For this purpose, different storey outrigger braced buildings...
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Petrophysical analyses of rock construction materials from the Roman rural settlement in Podšilo bay on Rab island (NE Adriatic, Croatia)
PublicationThis article presents the results of petrophysical analyses of limestones and sandstones used for the construction of the wall structures of a Roman rural settlement located in Podšilo Bay on Rab Island (Croatia). An on-site analysis of the walls indicated the use of different lithotypes, which is an uncommon case in the area. So far, no petrophysical properties of the applied materials have been tested, and their provenance...
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Journal of Nonlinear Functional Analysis
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Journal of Nonlinear Sciences and Applications
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Nonlinear Analysis-Hybrid Systems
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Advances in Nonlinear Variational Inequalities
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Nonlinear Functional Analysis and Applications
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