Temat: radial functions - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Limits of radial basis function interpolants
Autorzy:: Dinew, Sławomir
Buhmann, Martin D.
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

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Skocz do pozycji: 2.

Tytuł:: Numerical Modelling of Static Aeroelastic Deformations of Slender Wing in Aerodynamic Design
Autorzy:: Bugała, Pamela
Sznajder, Janusz
Sieradzki, Adam
Tematy:: aeroelasticity
static analysis
beam model
radial basis functions; Pokaż więcej
Wydawca:: Sieć Badawcza Łukasiewicz - Instytut Lotnictwa
Powiązania:: https://bibliotekanauki.pl/articles/36831212.pdf Link otwiera się w nowym oknie
Opis:: The article presents the validation of two methods for analyzing the aerodynamic properties of the aircraft wing concerning aeroelastic effects. The first method is based on low-cost computational models (Euler-Bernoulli Beam Model and Vortex Lattice Method [VLM]). Its primary objective is to estimate the wing’s deformation early in the design stages and during the automatic optimization process. The second one is a method that uses solutions of unsteady Navier-Stokes equations (URANS). This method suits early design, particularly for unconventional designs or flight conditions exceeding low-fidelity method limits. The coupling of the flow and structural models was done by Radial Basis Functions implemented as a user-defined module in the ANSYS Fluent solver. The structural model has variants for linear and nonlinear wing deformations. Features enhancing applicability for real-life applications, such as the definition of deformable and nondeformable mesh zones with smooth transition between them, have been included in this method. A rectangular wing of a high-altitude long-endurance (HALE) aeroplane, built based on the NACA 0012 profile, was used to validate both methods. The resulting deflections and twists of the wing have been compared with reference data for the linear and nonlinear variants of the model.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Surrogate-based optimization of the layup of a laminated composite wind turbine blade for an improved power coefficient
Autorzy:: Dellaroza, Danilo Gomes
Tavares da Silva, Claudio
Luersen, Marco Antonio
Tematy:: wind turbine blade
laminated composites
optimization
radial basis functions; Pokaż więcej
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Powiązania:: https://bibliotekanauki.pl/articles/2104765.pdf Link otwiera się w nowym oknie
Opis:: Most wind turbine blades are made of laminated composite materials. The mechanical prop- erties of the material and the layup orientation influence the blade stiffness and, therefore, turbine performance. The bend-twist coupling effect, a consequence of the stacking sequence, can be used for passive control of the pitch angle, which in turn can improve the turbine performance. In this work, a surrogate-based optimization strategy which uses finite element simulation and radial basis functions is employed to optimize the stacking sequence of the blade laminate of a small wind turbine, aiming to improve the power coefficient.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Mesh-free approach to Helmholtz equation based on radial basis functions
Autorzy:: Kowalczyk, P.
Mrozowski, M.
Tematy:: Helmholtz equation
radial basis functions
meshfree method
cylindrical waveguides; Pokaż więcej
Wydawca:: Instytut Łączności - Państwowy Instytut Badawczy
Powiązania:: https://bibliotekanauki.pl/articles/309385.pdf Link otwiera się w nowym oknie
Opis:: Recently, a radial basis functions (RBFs) method, which was originally proposed for interpolation problems, has been developed and applied to solve partial differential equations and eigenproblems. Properties of that method (meshfree algorithm) allows one to use it in many areas, including electromagnetics. In this paper the mesh-free RBF method for solving Helmholtz equation was applied and a new adaptive algorithm for defining the set of interpolation centers was proposed. Using the proposed approach the cutoff wavelengths and the field distribution in cylindrical waveguides of arbitrary cross-section were calculated with a high accuracy.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Analysis of the Room Acoustic with Impedance Boundary Conditions in the Full Range of Acoustic Frequencies
Autorzy:: Prędka, Edyta
Brański, Adam
Tematy:: architectural acoustic
meshless method
radial bases functions
impedance boundary condition; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/176668.pdf Link otwiera się w nowym oknie
Opis:: An efficiency of the nonsingular meshless method (MLM) was analyzed in an acoustic indoor problem. The solution was assumed in the form of the series of radial bases functions (RBFs). Three representative kinds of RBF were chosen: the Hardy’s multiquadratic, inverse multiquadratic, Duchon’s functions. The room acoustic field with uniform, impedance walls was considered. To achieve the goal, relationships among physical parameters of the problem and parameters of the approximate solution were first found. Physical parameters constitute the sound absorption coefficient of the boundary and the frequency of acoustic vibrations. In turn, parameters of the solution are the kind of RBFs, the number of elements in the series of the solution and the number and distribution of influence points. Next, it was shown that the approximate acoustic field can be calculated using MLM with a priori error assumed. All approximate results, averaged over representative rectangular section of the room, were calculated and then compared to the corresponding accurate results. This way, it was proved that the MLM, based on RBFs, is efficient method in description of acoustic boundary problems with impedance boundary conditions and in all acoustic frequencies.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Radial basis function level set method for structural optimization
Autorzy:: Myśliński, A.
Tematy:: contact problem
structural optimization
level set method
radial basis functions; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/969887.pdf Link otwiera się w nowym oknie
Opis:: This paper is concerned with simultaneous topology and shape optimization of elastic contact problems. The structural optimization problem for an elastic contact problem consists in finding such topology as well as such shape of the boundary of the domain occupied by the body that the normal contact stress is minimized. Shape and topological derivatives formulae of the cost functional obtained using material derivative and asymptotic expansion methods, respectively, are recalled. These derivatives are employed to formulate the necessary optimality condition and to calculate a descent direction in a numerical algorithm. Level set based method is employed in numerical algorithm for tracking the evolution of the domain boundary on a fixed mesh and finding an optimal domain. In order to increase the efficiency of the level set based numerical algorithm, the radial basis function approach is used to solve the equation governing domain boundary evolution. Numerical examples are provided and discussed.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Support vector machines and neural networks for forecasting of failure rate of water pipes
Metoda wektorów nośnych i sieci neuronowe do przewidywania wskaźnika awaryjności przewodów wodociągowych
Autorzy:: Kutyłowska, M.
Tematy:: pipelines
prediction
radial basis functions
rurociągi
przewidywanie
radialne funkcje bazowe; Pokaż więcej
Wydawca:: Towarzystwo Chemii i Inżynierii Ekologicznej
Powiązania:: https://bibliotekanauki.pl/articles/126281.pdf Link otwiera się w nowym oknie
Opis:: The failure rate of water pipes was predicted using support vector machines (SVMs) and artificial neural networks (ANNs). Both algorithms are regression methods of so called machine learning. Operational data from the time span 2001-2012 were used for forecasting purposes. The length, diameter and year of construction of the distribution pipes and the house connections were treated as the independent variables. The computations were carried out using the Statistica 12.0 software.
Wskaźnik awaryjności przewodów wodociągowych przewidywano za pomocą metody wektorów nośnych (SVM) i sztucznych sieci neuronowych (SSN). Oba algorytmy należą do metod regresyjnych, nazywanych metodami uczenia maszyn. Dane eksploatacyjne z lat 2001-2012 zostały wykorzystane w celach predykcji. Długość, średnica i rok budowy przewodów rozdzielczych i przyłączy były zmiennymi niezależnymi. Obliczenia przeprowadzono w programie Statistica 12.0.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Nonsingular Meshless Method in an Acoustic Indoor Problem
Autorzy:: Brański, A.
Prędka, E.
Tematy:: architectural acoustics
meshless method
radial bases functions
impedance boundary condition; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/177716.pdf Link otwiera się w nowym oknie
Opis:: An efficiency of the nonsingular meshless method is analyzed in an acoustic indoor problem. The solution is assumed in the form of the series of radial bases functions. The Hardy’s multiquadratic functions, as the bases, are taken into account. The room acoustic field with uniform, impedance walls is considered. The representative, rectangular cross section of the room is chosen. Practical combinations of acoustic boundary conditions, expressed through absorption coefficient values, are considered. The classical formulation of the boundary problem is used. It is established any coefficient in the multiquadratic functions depend on the number of influence points, the frequency and the absorption coefficient. All approximate results are calculated in relation to the exact ones. This way, it is proved that the meshless method based on the multiquadratic functions is simple and efficient method in the description of the complicated acoustic boundary problems for the low and medium ranges of frequency.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Comparison of deteministic interpolation methods for the estimation of groundwater level
Autorzy:: Kamińska, A.
Grzywna, A.
Tematy:: radial basis functions
Inverse Distance Weighting
groundwater levels
prediction maps; Pokaż więcej
Wydawca:: Polskie Towarzystwo Inżynierii Ekologicznej
Powiązania:: https://bibliotekanauki.pl/articles/123402.pdf Link otwiera się w nowym oknie
Opis:: This paper compares two spatial interpolation techniques – Radial Basis Functions (RBF) and Inverse Distance Weighting (IDW) – with the goal of determining which method creates the best representation of reality for measured groundwater levels in catchment area. The study used the results of research and field observations from the year 2011, in Sosnowica (West Polesie). The data set consists of groundwater levels measured at 15 points in three series of tests. Surface generation was obtained for each method. The water prediction maps showed spatial variation in the groundwater level in the study area and they are quite different. RBF method resulted in a smoother map. The analysis of the methods of interpolation of analyzed data with the help of cross validation statistics and plots showed that Radial Basis Functions creates better representation of reality for measured groundwater levels.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Selected Aspects of Meshless Method Optimization in the Room Acoustics with Impedance Boundary Conditions
Autorzy:: Prędka, Edyta
Kocan-Krawczyk, Anna
Brański, Adam
Tematy:: architectural acoustics
meshless method
radial basis functions
impedance boundary condition; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/1953537.pdf Link otwiera się w nowym oknie
Opis:: Two optimization aspects of the meshless method (MLM) based on nonsingular radial basis functions (RBFs) are considered in an acoustic indoor problem. The former is based on the minimization of the mean value of the relative error of the solution in the domain. The letter is based on the minimization of the relative error of the solution at the selected points in the domain. In both cases the optimization leads to the finding relations between physical parameters and the approximate solution parameters. The room acoustic field with uniform, impedance walls is considered. As results, the most effective Hardy’s Radial Basis Function (H-RBF) is pointed out and the numer of elements in the series solution as a function of frequency is indicated. Next, for H-RBF and fixed n, distributions of appropriate acoustic fields in the domain are compared. It is shown that both aspects of optimization improve the description of the acoustic field in the domain in a strictly defined sense.
Dostawca treści:: Biblioteka Nauki

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