BazTech - Yadda

1

Solving systems of fractional two-dimensional nonlinear partial Volterra integral equations by using Haar wavelets

Khajehnasiri Amir Ahmad, Ezzati R., Kermani M.

Journal of Applied Analysis

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2021

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Vol. 27, nr 2

239--257

EN

The main aim of this paper is to use the operational matrices of fractional integration of Haar wavelets to find the numerical solution for a nonlinear system of two-dimensional fractional partial Volterra integral equations. To do this, first we present the operational matrices of fractional integration of Haar wavelets. Then we apply these matrices to solve systems of two-dimensional fractional partial Volterra integral equations (2DFPVIE). Also, we present the error analysis and convergence as well. At the end, some numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method.

2

On the improvement of calibration accuracy of parallel robots – modeling and optimization

Bentaleb Toufik, Iqbal Jamshed

Journal of Theoretical and Applied Mechanics

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2020

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Vol. 58 nr 1

261--272

EN

This paper proposes kinematic based calibration methods for Delta parallel robots. The boundary of the robot workspace is computed using a forward kinematic model. Influence of errors in kinematic parameters on the workspace boundaries is investigated. The novelty of the proposed approach lies in Jacobian-based computation of kinematic models. Also, the present work extends and applies the existing calibration methods traditionally meant for serial robots on the Delta robot. These methods include the forward method and the inverse method. Simulation results confirm the efficacy of the proposed calibration strategies.

3

Data correction method of the persistent scatterer interferometric synthetic aperture radar technique in landslide surface monitoring

Xie Mo-Ewn, Lv Fu-Xia, Wang Li-Wei

Mining Science

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2019

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Vol. 26

91--109

EN

Landslides generally cause more damage than first predicted. Currently, many methods are available for monitoring landslides occurrence. Conventional methods are mainly based on single-point monitoring, which omits the aspect of variation in large-scale landslides. Due to the development of radar satellites, the differential interferometric synthetic aperture radar technique has been widely used for landslide monitoring. In this study, an experimental region in the Wudongde Hydropower Station reservoir area was studied using archived spaceborne synthetic aperture radar (SAR) data collected over many years. As the permanent scatterer interferometric SAR (PS-InSAR) technique is an advanced technology, it could be suitably used to overcome the time discontinuity in long time series. However, the accuracy of date processing obtained using the PS-InSAR technique is lower than that obtained using the single-point monitoring method. The monitoring results of the PS-InSAR technique only demonstrate the moving trend of landslides and do not present the actual displacement. The Advanced Land Observation Satellite and a high-precision total station were used for long-term landslide monitoring of the Jinpingzi landslide at the Wudongde Hydropower Station reservoir area. Based on a relationship analysis between the data obtained using the PS-InSAR technique and the total station, a revised method was proposed to reduce the errors in the PS-InSAR monitoring results. The method can not only enhance the monitoring precision of the PS-InSAR technology but also achieve long-term monitoring of landslide displacement from a bird's-eye view.

4

Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials

Düll W.-P., Hilder B., Schneider G.

Journal of Applied Analysis

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2018

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Vol. 24, nr 1

71--80

EN

In this paper, we analyze the embedding cell method, an algorithm which has been developed for the numerical homogenization of metal-ceramic composite materials. We show the convergence of the iteration scheme of this algorithm and the coincidence of the material properties predicted by the limit with the effective material properties provided by the analytical homogenization theory in two situations, namely for a one-dimensional linear elasticity model and a simple one-dimensional plasticity model.

5

Stanowisko do badań przepływu za elementami armatury hydraulicznej, zaburzającymi przepływ

Synowiec P., Piechota P., Wędrychowicz W., Andruszkiewicz A.

Elektronika : konstrukcje, technologie, zastosowania

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2018

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Vol. 59, nr 10

53--55

PL

Tematyka artykułu dotyczy stanowiska przeznaczonego do badań przepływu za elementami armatury hydraulicznej zaburzającymi przepływ. Badania wykonywane są na specjalnym stanowisku, przystosowanym do wykonania przepływu przy pomocy różnego rodzaju przepływomierzy. Wszystkie zastosowane na stanowisku rodzaje przepływomierzy mają zastosowanie w przemyśle, ale do tej pory nie określono błędu jakim są obarczone przy niezastosowaniu zaleceń montażowych. Celem aktualnych badań jest określenie błędu pomiarowego przepływomierzy ultradźwiękowych z głowicami nakładanymi na rurociąg, kiedy pomiar wykonywany w różnych płaszczyznach rurociągu jest za łukiem hamburskim o promieniu równym dwóm średnicom nominalnym rurociągu. Wykonano pomiar w różnych odległościach od łuku hamburskiego oraz w różnych położeniach głowic ultradźwiękowych na obwodzie rurociągu. Głowice zostały usytuowane na rurociągu co 30 stopni, tzn. pod kątem 0, 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 i 330 stopni.

EN

This Article applies stand for flow tests after hydraulic fittings, that disturb flow. The tests are carried out on special stand, adapted to use various types of flowmeter. All types of flowmeters used to on these stand are generaly use in industry, but to this time the measurement error is not specify when the mounting recommendations were not use. The aim of actually research is determine of measurement error of ultrasonic flowmeters with clamp-on sensor on pipeline, when measure in different after short radius bend 90° with radius is two nominal dimension. The measurement made at different distances after diffuser at different positions of ultrasonic sensors around the circumference on the pipe. The heads are arranged on pipeline at 30 degrees, for example at 0, 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 and 330 degrees.

6

Podstawowe zasady i nowe możliwości wykorzystywania wyników badań presjometrycznych

Tarnawski M.

Przegląd Geologiczny

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2017

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Vol. 65, nr 10/2

725--736

EN

This article is an attempt to briefly summarize the achievements of the pressuremeter research methodology and its development paths in over sixty years of its existence. The current rules for the tests execution and interpretation of their results as well as their application in the foundation design and in geological-engineering evaluation of the sites are discussed and subjected to critical analysis. Attention has been drawn to the unique ability to identify and estimate errors that may occur during testing, and the last chapter outlines the prospects for the development of this research technique. The author has also presented his accomplishments, such as the introduction of the concept of maximum and minimum settlement, a new way for determining the creep pressure, and a simplified way of defining the so-called standard settlement. In conclusion, the author has drawn attention to the numerous advantages of the pressuremeter method. These include, in particular, a direct assessment of the two most important characteristics of the soil: strength (bearing capacity) and compressibility, reduction of scale effect and the ability to test the soil at any depth.

7

Filtracja sygnałów GPS w celu określenia przemieszczeń komina przemysłowego

Górski P., Chmielewski T.

Materiały Budowlane

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2016

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nr 5

34--35

PL

W artykule zaproponowano dobór parametrów filtracji pomierzonych sygnałów cyfrowych GPS przedstawiających przemieszczenia komina przemysłowego o wysokości 300 m w celu ograniczenia wpływu losowych błędów systemu GPS. Uzyskano istotną poprawę dokładności w sposobie określenia przemieszczeń po zastosowaniu techniki filtracji sygnałów GPS.

EN

This paper deals with the selection of parameters for filtering of GPS signals for the detection of the displacements of the 300 m tall chimney in order to limit the influence of the background noise of GPS technology. After filtering of the signals the significant improvement of dynamic deformations monitoring accuracy is obtained.

8

Metrological analysis of different techniques for measuring interface tension between two fluids based on spinning drop method

Kisil I., Barna O., Kuchirka Y.

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska

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2016

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nr 3

40--42

EN

The spinning drop method foundations of measuring interface tension between two immiscible liquids are considered. Different techniques of the spinning drop method and their metrology evaluation are compared. The dimensionless parameters of spinning drop are calculated using the fourth-order Runge–Kutta procedure and they are approximated by the seventh-order polynomial dependence. The relative errors of the different techniques and the approximate dependence are obtained.

PL

W artykule rozpatrywane podstawy metody wirującej kropli do pomiaru napięcia powierzchniowego na granicy faz między dwoma nie mieszającymi się cieczami. Porównano różne techniki realizacji tej metody i oceniono ich właściwości metrologiczne. Wykorzystując metodę numeryczną Rungego-Kutty 4 rzędu obliczono bezwymiarowe parametry wirującej kropli i aproksymowano za pomocą wielomianu 7 stopnia. Obliczono błąd względny różnych technik oraz proponowanej przybliżonej zależności.

9

Wielopłaszczyznowy pomiar strumienia objętości cieczy jednofazowej za dyfuzorem w badaniach bilansowych instalacji hydraulicznych : pierwsza ćwiartka rurociągu

Synowiec P., Wędrychowicz W., Andruszkiewicz A.

Elektronika : konstrukcje, technologie, zastosowania

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2016

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Vol. 57, nr 10

91--93

PL

Tematyka artykułu dotyczy ultradźwiękowych pomiarów strumienia objętości w badaniach bilansowych instalacji hydraulicznych. Rozpatrywanym problemem jest wykonanie pomiaru za dyfuzorem w różnych płaszczyznach rurociągu poziomego. Wykonano pomiar w różnych odległościach od dyfuzora oraz w różnych położeniach głowic ultradźwiękowych na obwodzie rurociągu. Głowice zostały usytuowane w pierwszej ćwiartce rurociągu co 30 stopni, tzn. pod kątem 0, 30, 60 i 90 stopni. Wykonano obliczenia odchylenia standardowego oraz współczynnika poprawkowego eliminującego błędy wskazania przepływomierza, związane z występującymi zaburzeniami.

EN

This Article applies ultrasonic measurement of the flow rate in the study of balance sheet hydraulic system. Considered problem is to measure the diffuser in different planes of horizontal pipeline. The measurement made at different distances after diffuser at different positions of ultrasonic probes around the circumference on the pipe. The heads are arranged in the first quadrant of the pipeline at 30 degrees, for example at 0, 30, 60 and 90 degrees. Taken calculate the standard deviation and coefficient of correction to eliminate errors indicate flowmeter related from occurring disorders.

10

The New Algorithm for Fast Probabilistic Hypocenter Locations

Dębski W., Klejment P.

Acta Geophysica

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2016

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Vol. 64, no. 6

2382--2409

EN

The spatial location of sources of seismic waves is one of the first tasks when transient waves from natural (uncontrolled) sources are analysed in many branches of physics, including seismology, oceanology, to name a few. It is well recognised that there is no single universal location algorithm which performs equally well in all situations. Source activity and its spatial variability in time, the geometry of recording network, the complexity and heterogeneity of wave velocity distribution are all factors influencing the performance of location algorithms. In this paper we propose a new location algorithm which exploits the reciprocity and time-inverse invariance property of the wave equation. Basing on these symmetries and using a modern finite-difference-type eikonal solver, we have developed a new very fast algorithm performing the full probabilistic (Bayesian) source location. We illustrate an efficiency of the algorithm performing an advanced error analysis for 1647 seismic events from the Rudna copper mine operating in southwestern Poland.

11

Wybrane zagadnienia analizy właściwości dynamicznych akcelerometrów w oparciu o rachunek różniczkowo-całkowy niecałkowitych rzędów

Luft M., Pietruszczak D., Szychta E., Szychta L.

TTS Technika Transportu Szynowego

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2015

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R. 22, nr 12

947--952, CD

PL

W artykule przedstawiono badania symulacyjne i laboratoryjne akcelerometru zamodelowanego klasyczną analizą matematyczną oraz wykorzystując rachunek różniczkowo-całkowy niecałkowitych rzędów. Dokonano analizy błędów modeli przetwornika. Wskazano na zalety stosowania rachunku ułamkowego do opisu dynamiki akcelerometrów. Badania symulacyjne wykonano w środowisku programistycznym MATLAB&Simulink.

EN

The paper presents simulation and laboratory stud-ies of measuring transducers (accelerometers) which were modelled in the classical differential equations as well as fractional calculus. Measurement errors are examined and a comparison to classical and fractional models in terms of dynamic properties is made. The advantages of fractional calculus in modelling dynamic elements are also indicated. Tests are executed in the MATLAB&Simulink programme.

12

A skew ray tracing approach for error analysis of a light ray path for optical systems with asymmetrical optical axes

Liao T T, Kung C, Chen C T

Optica Applicata

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2015

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Vol. 45, nr 2

249--261

EN

This study applies a skew ray tracing approach based on a 4×4 homogeneous coordinate transformation matrix and Snell’s law to analyze the errors of a ray light path as it passes through a series of optical elements in an asymmetrical optical system. The proposed error analysis methodology considers two principal sources of a light path error, namely: i) the translational errors and the rotational errors which determine the deviation of the light path at each boundary surface, and ii) the differential changes induced in the incident point position and unit directional vector of the refracted/reflected ray as a result of differential changes in the position and unit directional vector of the light source. The validity of the proposed methodology is verified by analyzing the effects of optical errors in a corner cube.

13

Error analysis in mathematical model of electromechanical actuator using Hamiltonian equations

Burlikowski W., Kowalik Z.

Czasopismo Techniczne. Elektrotechnika

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2015

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Y. 112, iss. 1-E

119--128

EN

This paper presents a methodology of error analysis in a mathematical model of an electromechanical actuator using Hamiltonian equations in the description of energy conversion. As the basic quantity in numerical algorithms, the coenergy of magnetic field Ecm is employed. The reason for the application of coenergy as a state function is the explicitness of its value for a given set of state variables, resulting from neglecting eddy currents and hysteresis phenomenon in the model.

PL

W artykule przedstawiono metodykę analizy błędu w modelu matematycznym przetwornika elektromechanicznego wykorzystującym równania Hamiltona w opisie przemiany elektromechanicznej. Jako podstawowej wielkości w algorytmie obliczeniowym użyto koenergii pola magnetycznego Ecm. Wykorzystano w tym celu jednoznaczność określenia wartości koenergii dla danej wartości zmiennych stanu, wynikającą z pominięcia w modelu prądów wirowych oraz zjawiska histerezy.

14

Error Analysis and Antenna Array Placement Optimization of Localization System for Partial Discharge in Substation

He J., Li M., Chen G., Wang Z.

Przegląd Elektrotechniczny

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2014

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R. 90, nr 7

104--107

EN

The measurement and diagnosis of partial discharge (PD) is accepted as one of the most valuable means for assessing the quality of high voltage (HV) power apparatus and its running status. However, the current partial discharge monitoring mainly based on equipment, which needs multi-process test equipment, high cost, and large maintenance engineering. This paper introduced the use of four antennas array to receive ultra-high frequency (UHF) signal, and define 3-D coordinate system, then located PD source in the field of the substation. Furthermore, this paper discussed the principles of the location algorithm based on time difference, analyzed the origin of its location error, then the connection of location error and the placement of antenna array and the error of time difference has been discussed theoretically. Finally, this paper provided the optimal placement of the radio frequency antenna array.

PL

W artykule opisano czteroantenowy odbiornik sygnału UHF w zastosowaniu do analizy źródła wyładowania niezupełnego. Analizowano błąd określenia pozycji źródła w zależności od rozłożenia systemu anten.

15

Analiza błędu w modelu matematycznym przetwornika elektromechanicznego wykorzystującym równania Hamiltona

Burlikowski W., Kowalik Z.

Maszyny Elektryczne : zeszyty problemowe

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2014

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Nr 4(104)

131--136

PL

W artykule przedstawiono metodykę analizy błędu w modelu matematycznym przetwornika elektromechanicznego, wykorzystującym równania Hamiltona w opisie przemiany elektromechanicznej. Jako podstawową wielkość w algorytmie obliczeniowym użyto koenergię pola magnetycznego Ecm. Wykorzystano w tym celu jednoznaczność określenia wartości koenergii dla danej wartości zmiennych stanu, wynikającą z pominięcia w modelu prądów wirowych oraz zjawiska histerezy.

EN

The paper presents a methodology of error analysis in mathematical model of an electromechanical actuator using Hamiltonian equations in the description of energy conversion. As the basic quantity in numerical algorithm the coenergy of magnetic field Ecm is employed. The reason for application of coenergy as a state function is the explicitness of its value for a given set of state variables, resulting from neglecting Eddy currents and hysteresis phenomenon in the model.

16

The decision-feedback equalizer optimization for Gaussian noise

Grzybowski A., Kisilewicz J. W.

Journal of Theoretical and Applied Computer Science

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2014

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Vol. 8, nr 4

5-12

EN

The new method of decision-feedback parameters optimization for intersymbol interference equalizers is described in this paper. The error extension phenomena is well known and investigated in the decision feedback equalizers in data transmission. The existing coefficient in decision feedback depends on the receive decision risk qualification. There is proved the bit error probability can be decreased by this method for any channel with single interference sample and small Gaussian noise. The experimental results are presented for chosen type channels. The dependences of optimal feedback parameters on channel interference sample and on noise power are presented too.

17

Spaced Seed Design Using Perfect Rulers

Egidi L., Manzini G.

Fundamenta Informaticae

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2014

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Vol. 131, nr 2

187--203

EN

A widely used class of approximate pattern matching algorithms work in two stages, the first being a filtering stage that uses spaced seeds to quickly discards regions where a match is not likely to occur. The design of effective spaced seeds is known to be a hard problem. In this setting, we propose a family of lossless spaced seeds for matching with up to two errors based on mathematical objects known as perfect rulers. We analyze these seeds with respect to the tradeoff they offer between seed weight and the minimum length of the pattern to be matched. We identify a specific property of rulers, namely their skewness, which is closely related to the minimum pattern length of the derived seeds. In this context, we study in depth the specific case of Wichmann rulers and investigate the generalization of our approach to the larger class of unrestricted rulers. Although our analysis is mainly of theoretical interest, we show that for pattern lengths of practical relevance our seeds have a larger weight, hence a better filtration efficiency, than the ones known in the literature.

18

An approximate analytic solution for isentropic flow by an inviscid gas model

Az-Zo'bi E. A.

Archives of Mechanics

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2014

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Vol. 66, nr 3

203--212

EN

The aim of the present analysis is to apply the modified decomposition method (MDM) for the solution of isentropic flow of an inviscid gas model (IFIG). The modification form based on a new formula of Adomian’s polynomials (APs). The new approach provides the solution in the form of a rapidly convergent series with easily computable components and not at grid points. The proof of convergence of MDM applied to such systems is introduced with a bound of the error. Using suitable initial values, the solution of the system has been calculated and represented graphically. An analytic continuous solution with high accuracy was obtained.

19

The error analysis of the three-pass differential interferometery

Huang C., Guo J., Yu X., Yuan C.

Przegląd Elektrotechniczny

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2013

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R. 89, nr 3a

236--240

EN

The three pass differential interferometry technology is an important means of ground deformation monitoring, which has been successfully used in the large ground deformation monitoring and research such as the earthquake, volcano activity, glacial drift, landslides, and city settlement etc. However the technology is affected by multiple errors in practical application, which have serious influence on the deformation monitoring precision. For spaceborne radar, this paper derives the error propagation coefficients of the baseline error, the phase error, the atmospheric delay error and the earth curvature error and other types of errors on the three pass differential interferometry base on the [three pass differential interferometry] principle, and analyses the characteristics of these errors, finally discusses the influence rules of the errors on three pass differential interferometry.

PL

Artykuł dotyczy zagadnienia trójpasmowej interferometrii różnicowej, jako narzędzia do monitorowania deformacji gruntu w przypadku trzęsień ziemi, aktywności wulkanicznej itp. Na potrzeby radarów znajdujących się na orbicie kosmicznej, wyznaczono współczynnik propagacji błędów, typowych w tego rodzaju pomiarach (błąd fazowy, opóźnienie w atmosferze, zakrzywienie powierzchni Ziemi). Opisano mechanizm wpływu obecności tych błędów i uchybów na wynik działania metody.

20

Badanie współczynnika przewodzenia ciepła materiałów do izolacji cieplnej

Miros A.

Materiały Budowlane

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2013

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nr 3

91--93