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Tytuł:
Dilation and Modelling of Sands in the Light of Experimental Data
Autorzy:
Sawicki, A.
Powiązania:
https://bibliotekanauki.pl/articles/241366.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
sands
dilation
constitutive equations
Opis:
The problem of dilation is discussed in the context of classical Cam-Clay model, which was developed on the basis of a specific assumption regarding the plastic work. This assumption leads to a special form of the dilation function, from which a shape of yield function is derived. The above mentioned assumption is compared with the results of the triaxial tests, performed on the model “Skarpa” sand. It is shown that the Cam-Clay approach is not realistic, as it is based on the assumption which is not consistent with experimental data. Some general considerations and discussion of this problem are also presented.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2014, 61, 1-2; 3-15
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Janmann-Zaremba time derivative
Autorzy:
Piskorek, Adam
Powiązania:
https://bibliotekanauki.pl/articles/748699.pdf
Data publikacji:
1995
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Constitutive equations
Applications to physics
Opis:
.
This is an extended discussion of the introduction and role played by the so-called co-rotational derivative (also called the Jaumann derivative in Germany and, rightfully, the Zaremba derivative in Poland) and other "objective'' time derivatives of geometrical objects as they appear in continuum physics. This is achieved in a somewhat abstract formalism starting with clearly defined "spatial" and "material" notions, the differentiable-manifold definition of deformation tensors, and the notions of parallel transport and Lie derivative. The notion of "objectivity'' (as common in continuum mechanics since the pioneering work of W. Noll) and Piola transformations follow next. The paper ends with a reminder on local balance equations and objective constitutive equations such as those of the time-rate type. It seems that the author does not know the famous book of J. E. Marsden and T. J. R. Hughes [Mathematical foundations of elasticity, corrected reprint of the 1983 original, Dover, New York, 1994; MR1262126], where most of the given material can be found.
Źródło:
Mathematica Applicanda; 1995, 24, 38
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wear patterns and laws of wear - A review
Formy zużycia i prawa zużycia: przegląd
Autorzy:
Zmitrowicz, A.
Powiązania:
https://bibliotekanauki.pl/articles/280321.pdf
Data publikacji:
2006
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
contact mechanics
wear
friction
constitutive equations
Opis:
Wear is a process of gradual removal of a material from surfaces of solids subject to contact and sliding. Damages of contact surfaces are results of wear. They can have various patterns (abrasion, fatigue, ploughing, corrugation, erosion and cavitation). The results of abrasive wear are identified as irreversible changes in body contours and as evolutions of gaps between contacting solids. The wear depth profile of a surface is a useful measure of the removed material. The definition of the gap between contacting bodies takes into account deformations of bodies and evolutions of wear profiles. The wear depth can be estimated with the aid of wear laws. Derived in this study, constitutive equations of anisotropic wear are extensions of the Archard law of wear. The equations describe abrasion of materials with microstructures. The illustrative example demonstrates calculations of the abraded mass and temperatures in pin-on-disc test rig.
Zużycie jest to stopniowe usuwanie materiału z powierzchni stykających i ślizgających się ciał stałych. Następstwem zużycia są uszkodzenia powierzchni styku. Mogą one przyjmować różną formę (ścierania, zmęczenia, bruzdowania, korugacji, erozji i kawitacji ) Konsekwencjami procesu zużycia ściernego są nieodwracalne zmiany kształtów ciał oraz powiększanie luzów (szczelin) między stykającymi się ciałami. Użyteczną miarą usuniętego materiału jest profil głębokości zużycia powierzchni. Definicja luzu między stykającymi się ciałami uwzględnia odkształcenia ciał oraz ewolucję profili zużycia. Głębokość zużycia może być oszacowana z pomocą praw zużycia. Wyprowadzone w niniejszej pracy równania konstytutywne anizotropowego zużycia są rozszerzeniem prawa zużycia Archarda. Opisują one ścieranie materiałów z mikrostrukturą. W przykładzie ilustracyjnym obliczono ubytek masy i temperaturę w stanowisku doświadczalnym typu pin-on-disc.
Źródło:
Journal of Theoretical and Applied Mechanics; 2006, 44, 2; 219-253
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wear debris: a review of properties and constitutive models
Cząstki zużycia: przegląd własności i modeli konstytutywnych
Autorzy:
Zmitrowicz, A.
Powiązania:
https://bibliotekanauki.pl/articles/279566.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
contact mechanics
wear
friction
constitutive equations
Opis:
Wear appears as gradual removal of a material from contacting and rubbing surfaces of solids during their relative sliding. The mechanism of wear involves formation of debris particles. The particles have small sizes and different shapes. The wear debris can be "rolled over" into cylindrical, spherical and needle-like particles. Particles are detached from rubbing surfaces and they form a more or less continuous interfacial layer. They transmit forces, moments and displacements (translational and rotational) at the contact interface. The presence of wear debris between sliding surfaces affects frictional and wear behaviour significantly. Constitutive relations characterize quasi-solid, quasi-fluid and granular-like behaviour of wear particles. In the paper, two constitutive models of wear debris are discussed: (a) material continuum, (b) granular medium. The continuum models are formulated for a micropolar thermoelastic material, micropolar fluid and thermo-viscous fluid.
Zużycie jest to stopniowe usuwanie materiału ze stykających i trących się powierzchni ciał stałych podczas ich względnego poślizgu. Mechanizm zużycia powoduje tworzenie cząstek zużycia. Cząstki są o małych wymiarach i różnych kształtach. Cząstki zużycia mogą być "zrolowane" w walce, kule lub igiełki. Cząstki oddzielone od trących się powierzchni tworzą prawie ciągłą warstwę pośrednią. Przekazują one siły, momenty i przemieszczenia (translacyjne i obrotowe) w obszarze styku. Obecność cząstek zużycia między ślizgającymi się powierzchniami oddziaływuje w sposób istotny na zjawiska tarcia i zużycia. Relacje konstytutywne charakteryzują własności cząstek zużycia typu qusi-ciało stałe, quasi-płyn i ośrodek granulowany. W pracy rozpatrzono dwa modele konstytutywne cząstek zużucia: (a) model ośrodka ciągłego, (b) model ośrodka granulowanego. Modele typu ośrodka ciągłego zostały sformułowane dla mikropolarnego materiału termosprężystego, płynu mokropolarnego i płynu termo-lepkiego.
Źródło:
Journal of Theoretical and Applied Mechanics; 2005, 43, 1; 3-35
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Static electromechanical characteristics of piezoelectric converters with various thickness and length of piezoelectric layers
Autorzy:
Mieczkowski, Grzegorz
Powiązania:
https://bibliotekanauki.pl/articles/387138.pdf
Data publikacji:
2019
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
piezoelectric bender
constitutive equations
deflection
electromechanical characteristics
Opis:
The paper presents the analysis of electromechanical characteristics of piezoelectric converters subjected to an electric field and mechanical load. The analyses were performed based on a method consisting implementation of special segments responsible for electrical boundary conditions to a homogeneous beam. Constitutive equations were developed, allowing one to obtain static electromechanical characteristics for piezoelectric actuators with freely defined boundary conditions and geometry. Moreover, based on constitutive equations obtained, a particular solution for cantilever transducer subjected to concentrated force has been developed. The resulting analytical solution was compared with the data available in the literature, and the developed FEM solution. Furthermore, the influence of factors such as relative length, thickness and location of particular piezoelectric layers on electromechanical characteristics of the transducer was defined.
Źródło:
Acta Mechanica et Automatica; 2019, 13, 1; 30-36
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The constituent equations of piezoelectric cantilevered three-layer actuators with various external loads and geometry
Autorzy:
Mieczkowski, G.
Powiązania:
https://bibliotekanauki.pl/articles/279842.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
piezoelectric bender
constitutive equations
deflection
analytical solutions
Opis:
This paper presents test results for deformation conditions of three-layer, piezoelectric cantilever converters subjected to various electrical and mechanical boundary conditions. A general solution has been developed based on implementation of piezoelectric triple segments (PTS) to the beam. A working mechanism and conditions for strain of the PTS segment have been determined. Basing on the general solution, for the cantilever actuator subjected to an external force (of single and dual PTS segments) and a uniform load (of single PTS segment), particular solutions have also been developed. Moreover, dimensionless frequencies of the oscillating motion for the analyzed converters have been determined. In the next step, the influence of such factors as length, quantity and position of PTS segments, their relative stiffness and unit weight on values of the obtained frequencies of vibration have been defined. The resulting analytical solutions have been compared with the developed FEM solution.
Źródło:
Journal of Theoretical and Applied Mechanics; 2017, 55, 1; 69-86
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non-isothermal constitutive relations and heat transfer equations of a two-phase medium
Autorzy:
Uciechowska-Grakowicz, A.
Strzelecki, T.
Powiązania:
https://bibliotekanauki.pl/articles/178714.pdf
Data publikacji:
2017
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
heat transfer
porous media
thermal consolidation
constitutive equations
Opis:
In the case of a two-phase medium – such as the soil, which consists of an elastic skeleton and is filled with pore fluids – stress and strain within the medium are dependent on both phases. Similarly, in the case of heat transfer, heat is conducted through the two phases at different rates, with an additional heat transfer between the phases. In the classical approach to modelling a porous medium, it is assumed that the fluid filling the pore space is water, which is incompressible. In the case of gas, the volume of which is strongly dependent on temperature and pressure, one should take this behavior into account in the constitutive relations for the medium. This work defines the physical relations of a two-phase medium and provides heat transfer equations, constructed for a porous, elastic skeleton with fluid-filled pores, which may be: liquid, gas, or mixture of liquid and a gas in non-isothermal conditions. The paper will present constitutive relations derived from the laws of irreversible thermodynamics, assuming that pores are filled with either a liquid or a gas. These relations, in the opinion of the authors, may be used as the basis for the construction of a model of the medium filled partly with a liquid and partly with a gas. It includes the possibility of independent heat transfer through any given two-phase medium phase, with the transfer of heat between the phases.
Źródło:
Studia Geotechnica et Mechanica; 2017, 39, 3; 67-78
0137-6365
2083-831X
Pojawia się w:
Studia Geotechnica et Mechanica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The HWKK rheological model for resins
Model reologiczny HWKK dla żywic
Autorzy:
Klasztorny, M.
Gieleta, R.
Powiązania:
https://bibliotekanauki.pl/articles/281171.pdf
Data publikacji:
2002
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
polymers
resins
constitutive equations of viscoelasticity
material constans
Opis:
A rheological model for epoxy and polyester resins, denoted with the symbol HWKK, has been developed and positively validated for selected loading programmes. This model describes the first-rank reversible creep of amorphous tyermohardened polymers with good accuracy. The mechanical HWKK model consists of four elements connected in series, formulated by Hooke, Wilczyński and Kelvin. Constitutive equations of viscoelasticity for the HWKK model have been formulated, with fractional and normal exponential functions used as the generating ones. An algorithm for identification of the material constants, based on creep experiments of bar samples uniaxially tensioned, has been developed. The material constants have been identified for epoxy and polyester resins.
Opracowano nowy model reologiczny żywicy epoksydowej i poliestrowej, oznaczony symbolem HWKK. Przeprowadzono walidację tego modelu dla wybranych programów obciążenia, uzyskując pozytywne wyniki. Model HWKK opisuje z dobrą dokładnośćią pełzanie pierwszorzędowe odwracalne polimerów amorficznych termoutwardzalnych. Model ten jest odwzorowany przez cztery elementy mechaniczne połączone szeregowo typu Hooke'a, Wilczyńskiego i Kelvina. Sformułowana równania konstytutywne lepkosprężystości i modelu HWKK stosując jako funkcje tworzące jedną funkcję wykładniczą ułamkową oraz dwie funkcje wykładnicze zwykłe. Opracowano algorytm identyfikacji stałych materiałowych opisujących model HWKK, bazujący na eksperymentach pełzania próbek prętowych rozciąganych osiowo. Stałe te zidentyfikowano dla żywicy epoksydowej i poliestrowej.
Źródło:
Journal of Theoretical and Applied Mechanics; 2002, 40, 4; 939-960
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Structure and calibration of constitutive equations for granular soils
Autorzy:
Sawicki, A.
Sławińska, J.
Mierczyński, J.
Powiązania:
https://bibliotekanauki.pl/articles/178614.pdf
Data publikacji:
2014
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
granular soil
constitutive equations
triaxial conditions
pre-failure deformations
Opis:
The form of incremental constitutive equations for granular soils is discussed for the triaxial configuration. The classical elasto-plastic approach and the semi-empirical model are discussed on the basis of constitutive relations determined directly from experimental data. First, the general structure of elasto-plastic constitutive equations is presented. Then, the structure of semiempirical constitutive equations is described, and a method of calibrating the model is presented. This calibration method is based on a single experiment, performed in the triaxial apparatus, which also involves a partial verification of the model, on an atypical stress path. The model is shown to give reasonable predictions. An important feature of the semi-empirical incremental model is the definition of loading and unloading, which is different from that assumed in elasto-plasticity. This definition distinguishes between spherical and deviatoric loading/unloading. The definition of deviatoric loading/unloading has been subject to some criticism. It was therefore discussed and clarified in this paper on the basis of the experiment presented.
Źródło:
Studia Geotechnica et Mechanica; 2014, 36, 4; 35-46
0137-6365
2083-831X
Pojawia się w:
Studia Geotechnica et Mechanica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A rheological model of polymeric materials and identification of its parameters
Autorzy:
Klasztorny, M.
Wilczyński, A.
Witemberg-Perzyk, D.
Powiązania:
https://bibliotekanauki.pl/articles/280578.pdf
Data publikacji:
2001
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
polymers
rheology
constitutive equations
combined numerical and experimental methods
Opis:
A new rheological model of polymeric materials has been proposed, based on experimental data concerning creep of tensile samples. A mechanical model of the material consists of four elements connected in series, formulated by Hooke, Wilczyński, Kelvin and Newton. Constitutive equations of rheology of the polymeric material have been formulated, both in uncoupled and coupled form, with the analitycal generating functions weel-fitting the experiments. A method for the identification of the elastic, viscoelastic and viscous material constans, based on the creep of the tensile samples, has been developed and computerised. The introductory experiments have been carried out on samples made of POLIMAL 109 polyester resin and the results of identification of the material constans have been given.
Model reologiczny materiałów polimerowych oraz identyfikacja jego parametrów. Zaproponowano nowy model reologiczny materiałów polimerowych, oznaczony symbolem H-W-K-N. Model machaniczny materiału składa się z czterech elementów połączonych szeregowo, sformułowanych przez Hooke'a, Wilczyńskiego, Kelvina i Newtona. Sformułowano równania konstytutywne reologii opisujące model H-W-K-N, w postaci niesprzężonej i sprzężonej, z funkcjami tworzącymi dobrze aproksymującymi eksperymentalne przebiegi pełzania. Opracowano metodę identyfikacji 14 stałych materiałowych, opisujących model H-W-K-N. Algorytm identyfikacji zaprogramowano w języku PASCAL. Podano wyniki identyfikacji stałych materiałowych żywicy polestrowej (POLIMAL 109), bazujące na pomiarach pełzania wzdłużnego i poprzecznego próbek przy rozciąganiu jednokierunkowym.
Źródło:
Journal of Theoretical and Applied Mechanics; 2001, 39, 1; 13-32
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical description of rheological properties of asphalt-aggregate mixes
Autorzy:
Zbiciak, A.
Powiązania:
https://bibliotekanauki.pl/articles/202010.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
asphalt-aggregate mixes
rheological models
fractional derivatives
constitutive equations
Opis:
The procedure of the formulation of constitutive equations for asphalt-aggregate mixes is based very often on rheological schemes composed of classical elastic, plastic and viscous elements. The parameters of these schemes can be obtained based on laboratory experiments. In order to obtain better curve fitting results one can use non-classical viscoelastic elements described by fractional derivatives. In this paper we present the characteristics of the fractional viscoelastic Huet-Sayegh model as well as the characteristics of an original simplified fractional model. The results have been obtained using algorithms of numerical calculation of inverse Laplace transforms. Then the proposal of an original rheological model including plasticity has been given. The non-linear differential constitutive relationships of such a model are presented in the paper. The results of computer simulations are also visualized. Finally, 3D viscoelasticplastic models of asphalt aggregatemixes are proposed. The models are based on a generalized macroscopic theory taking into account the effect of pressure-dependency on yielding.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 1; 65-72
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the behaviour of viscoelastic solids under multiaxial loads
Autorzy:
Kolenda, J.
Powiązania:
https://bibliotekanauki.pl/articles/259866.pdf
Data publikacji:
2008
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
viscoelastic material
multiaxial stress
constitutive equations
static load
vibratory load
Opis:
On the basis of modified Hooke’s law for multiaxial stress in viscoelastic solids, threedimensional constitutive equations for strains have been derived. It is shown that after application or removal of triaxial static load, normal and shear strain components vary in course of time proportionally to each other and that in-phase stress components produce in-phase strain components. Harmonic out-of-phase stress as well as multiaxial periodic and stationary random stresses are also considered. The matrix of dynamical flexibility of viscoelastic materials is determined which depends on three material constants (Young modulus, Poisson’s ratio and coefficient of viscous damping of normal strain) and load circular frequency.
Źródło:
Polish Maritime Research; 2008, 3; 12-17
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison among Different Constitutive Equations on Investigating Tensile Plastic Behavior and Microstructure in Austempered Ductile Iron
Autorzy:
Angella, G.
Zanardi, F.
Powiązania:
https://bibliotekanauki.pl/articles/107003.pdf
Data publikacji:
2018
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
tensile testing
mechanical properties
constitutive equations
microstructure
austempered ductile irons
Opis:
The capabilities of different constitutive equations of approximating the tensile flow curves and correlating plastic behavior with the microstructure were investigated in austempered ductile iron ADI 1050. In a previous paper, the microstructure evolution of ADI 1050 during austempering was investigated through quenching the ADI 1050 after 14 increasing austempering times to room temperature. The 14 samples were tensile tested and two classes of constitutive equations were examined in the present paper. The Hollomon-type constitutive equations approximated all of the tensile flow curves of ADI 1050 very well but failed in correlating the plastic behavior with microstructure evolution. Voce-type constitutive equations approximated the tensile flow curves only at high stresses very well but could correlate the plastic behavior with the microstructure evolution of ADI 1050 during austempering excellently. The reason of this success was rationalized in terms of the physical basis of Voce-type equations, while Hollomon-type equations are empirical.
Źródło:
Journal of Casting & Materials Engineering; 2018, 2, 1; 14-23
2543-9901
Pojawia się w:
Journal of Casting & Materials Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Correlation between Solidification Rates, Microstructure Integrity and Tensile Plastic Behaviour in 4.2 wt.% Silicon Strengthened Ductile Iron
Autorzy:
Angella, Giuliano
Taloni, Marcello
Donnini, Riccardo
Zanardi, Franco
Powiązania:
https://bibliotekanauki.pl/articles/2056080.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
strain hardening
constitutive equations
integrity assessment
ductile irons
high silicon content
Opis:
High Silicon Strengthened Ductile Iron (HSiSDI) with 4.2 wt.% of silicon was produced in Y-blocks with different thicknesses to investigate the effects of the solidification rate on microstructure integrity and tensile mechanical properties. With decreasing solidification rates, the graphite degeneracy with the appearance of chunky graphite became more significant at the highest silicon contents, so chemical ordering and graphite degeneracy seemed to be qualitative explanations of tensile property degradation. However, a deeper analysis of the relationship between solidification rate, microstructure and tensile properties was realized through an innovative approach based on the Matrix Assessment Diagram (MAD), where the parameters of Voce equation resulting from best-fitting the experimental tensile flow curves of a significant number of HSiSDI samples, were plotted. For 3.5 wt.% silicon content, the MAD analysis indicated that the microstructure was sound for any solidification rate, while for 4.5 wt.% the microstructure was sound only for the fastest solidification rates. For 4.2 wt.% silicon content the MAD analysis pointed out that the tensile plastic behaviour and the microstructure integrity was in between the 3.5 and 4.5 wt.% silicon contents, representing a composition threshold where the reliable microstructures were only found with the fastest solidification rates, while considerable variability was found for the slowest ones. Support to the MAD analysis results was given from microstructure observations.
Źródło:
Journal of Casting & Materials Engineering; 2022, 6, 1; 1--7
2543-9901
Pojawia się w:
Journal of Casting & Materials Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalization of Linear Rosenstark Method of Feedback Amplifier Analysis to Nonlinear One
Autorzy:
Borys, A.
Zakrzewski, Z.
Powiązania:
https://bibliotekanauki.pl/articles/226780.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
weakly nonlinear amplifiers
nonlinear Rosenstark model
nonlinear distortion analysis
harmonic distortion
constitutive equations
Volterra series
Opis:
Generalization of Linear Rosenstark Method of Feedback Amplifier Analysis to Nonlinear One This paper deals with an extension of the Rosenstark’s linear model of an amplifier to a nonlinear one for the purpose of performing nonlinear distortion analysis. Contrary to an approach using phasors, our method uses the Volterra series. Relying upon the linear model mentioned above, we define first a set of the so-called amplifier’s constitutive equations in an operator form. Then, we expand operators using the Volterra series truncated to the first three components. This leads to getting two representations in the time domain, called in-network and input-output type descriptions of an amplifier. Afterwards, both of these representations are transferred into the multi-frequency domains. Their usefulness in calculations of any nonlinear distortion measure as, for example, harmonic, intermodulation, and/or cross-modulation distortion is demonstrated. Moreover, we show that they allow a simple calculation of the so-called nonlinear transfer functions in any topology as, for example, of cascade and feedback structures and their combinations occurring in single-, two-, nd three-stage amplifiers. Examples of such calculations are given. Finally in this paper, we comment on usage of such notions as nonlinear signals, intermodulation nonlinearity, and on identification of transfer function poles and zeros lying on the frequency axis with related real-valued frequencies.
Źródło:
International Journal of Electronics and Telecommunications; 2014, 60, 1; 48-60
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 18

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