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Wyszukujesz frazę "mathematical method" wg kryterium: Temat

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    Wyświetlanie 1-6 z 6
    Tytuł:
    Influence of some speed parameters on the dynamics of nonlinear flexural vibrations of a drill column
    Autorzy:
    Pukach, P.
    Kuzio, I.
    Nytrebych, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/410646.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Oddział w Lublinie PAN
    Tematy:
    nonlinear elastic properties
    mathematical model
    Galerkin method
    Van der Pol method
    resonance
    Opis:
    We investigate the influence of the motion of fluid flushing the cutter of a well drilling column, and the angular rotational velocity upon dynamic characteristics of its flexural vibrations. We take into account the nonlinear elastic features of column material. As a base of the research we took the Galerkin method and the Van der Pol method. Combining those two methods made possible to obtain the relations describing the main parameters of the dynamical process In both nonresonance and resonance case.
    Źródło:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2013, 2, 4; 61-66
    2084-5715
    Pojawia się w:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A mathematical method for modeling the shape of apples. Part 1. Description of the method
    Autorzy:
    Mieszkalski, L.
    Wojdalski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/411406.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Oddział w Lublinie PAN
    Tematy:
    apple
    cv. Ligol
    shape
    locule
    pericarp
    Bézier curves
    method
    mathematical model
    Opis:
    This study proposes a mathematical method for modeling the shape of apples, locules and pericarps with the use of Bézier curves. The concave and convex parts of apples cv. Ligol were described with three smoothly-joined Bézier curves. Contours were described based on images of an apple rotated at intervals of 36° relative to its natural axis of symmetry. A 3D model was formed by Bézier curves positioned along the apple’s meridians. The shape of the locule and the pericarp was described with the use of two smoothly-joined Bézier curves each, rotated relative to the apple’s longitudinal axis.
    Źródło:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2017, 6, 3; 97-104
    2084-5715
    Pojawia się w:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Investigation of mathematical models for vibrations of one dimensional environments with considering nonlinear resistance forces
    Autorzy:
    Pukach, P.
    Sokhan, P.
    Stolyarchuk, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/410895.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Oddział w Lublinie PAN
    Tematy:
    mathematical model
    nonlinear vibrations
    nonlinear boundary value problem
    Galerkin method
    nonlinear elastic properties
    Opis:
    In this paper we consider important classes of one dimensional environments, bending stiffness of which can be neglected. It is impossible to apply approximate analytical method of solution of mathematical models of dynamic processes. So justification of existence and uniqueness of solutions, carried out a qualitative their evaluation, based on numerical analysis are considering in this paper. Also the features of dynamic processes of some of examined class of systems are analyzed. Methods of qualitative study of oscillations for restricted and unrestricted bodies under the influence of the resistance forces, described in this paper are based on the general principles of the theory of nonlinear boundary value problems – Galerkin method and the method of monotonicity. Scientific novelty consists in generalization these methods of studying for nonlinear problems at new classes of oscillating systems, justification of solution correctness for specified mathematical models that have practical application in real engineering vibration systems.
    Źródło:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2016, 5, 1; 97-102
    2084-5715
    Pojawia się w:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    About one Method of Mathematical Modelling of Human Vision Functions
    Autorzy:
    Semenets, V.
    Natalukha, Yu.
    Taranukha, O.
    Tokarev, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/410980.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Oddział w Lublinie PAN
    Tematy:
    visual system
    colorimetric experiment
    null-organ method
    mathematical model of the vision organ
    Opis:
    The comparison method, widely used in the colorimetric experiments, is applied to simulation of human vision functions. To solve such class of problems the mathematical model is obtained with the help of special type predicates.
    Źródło:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2014, 3, 3; 51-59
    2084-5715
    Pojawia się w:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Development the methods of optimum placement undirected planar objects with piecewise non-linear boundaries in the multiply area
    Autorzy:
    Chaplya, Yu.
    Sobol, O.
    Powiązania:
    https://bibliotekanauki.pl/articles/411345.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Oddział w Lublinie PAN
    Tematy:
    optimal placement
    object with piecewise linear boundary
    multiply area
    mathematical model
    branch and bound method
    method of simulated annealing
    Opis:
    In this paper the statement of the problem is formulated and the mathematical model of optimization the placement of the undirected planar geometrical objects with piecewise non-linear boundaries in the multiply area is developed. It is shown the geometrical interpretation and derived the estimate of the number of restrictions in the model. On the basis of a mathematical model for finding the global extremum of the objective function was proposed modified method of branches and boundaries. It is also shown the solutions tree that takes into account the problems of optimal placement of undirected planar geometrical object with piecewise nonlinear boundaries in the multiply area, and received the complexity of this method. For locally optimal solutions of the problem modified simulated annealing method has been developed. Thus the analytical expressions for the function of energy system were received, the function, that describes the decrease of temperature over time, function that forms a new state of system. The method of formation the new state of the system was investigated in more detail, which is based on a random permutation of numbers the pair of the objects, it is also based on a consistent placement of objects according to reshuffle their numbers and determining the probability of transition to a new state. It is shown the example of determining permissible points of placement the local coordinate system of the specific geometrical object. The conclusion is that to solve practical optimization problems of placement of the undirected planar geometrical objects with piecewise non-linear boundaries in the multiply area should be used the modified simulated annealing method.
    Źródło:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2016, 5, 2; 39-44
    2084-5715
    Pojawia się w:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Qualitative methods for research of transversal vibrations of semi-infinite cable under the action of nonlinear resistance forces
    Autorzy:
    Pukach, P.
    Kuzio, I.
    Sokil, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/411373.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Oddział w Lublinie PAN
    Tematy:
    mathematical model
    nonlinear vibrations
    nonlinear boundary value problem
    Galerkin method
    metod of monotony
    unbounded domain
    Opis:
    The aim of paper is to study the solution of the problem of nonlinear transverse vibrations of elastic elongated body under the force of resistance in unbounded domain. Such problems have applications in various technical systems - vibration of pipelines, railways, long bridges, electric lines, optical fibers. Unboundedness of the area creates more fundamental difficulties in the study of the problem. For the considered models of nonlinear oscillations have no general analytical techniques for determining the dynamic characteristics of the oscillatory process. Therefore it is sugges ted to use qualitative methods of the theory of nonlinear boundary value problems to obtain correct problem solution conditions (existence and uniqueness of the solution). In the paper conditions of the correctness of the solution of mathematical model for these nonlinear systems (sufficient conditions of the existence and uniqueness in the class of locally integrable functions) are obtained. Methods of qualitative study of semi-infinite cable vibrations under the forces of resistance based on general principles of the theory of nonlinear boundary value problems - method of monotony and Galerkin method. Scientific novelty of the work lies in particular in the generalization of methods of studying nonlinear problems on a new class of oscillatory systems In unbounded domains, justifying the correctness of the solution with specified mathematical model, which has practical applications in real engineering oscillatory systems. The technique allows not only for proving the correctness of the model solution, but also has an opportunity in its study to apply various approximate methods.
    Źródło:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2013, 2, 1; 43-48
    2084-5715
    Pojawia się w:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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