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    Wyświetlanie 1-9 z 9
    Tytuł:
    Pure bending of strip (beam) with crack in strip of tensile stress with allowance for plastic strips near crack tips
    Autorzy:
    Sulym, Heorgij
    Opanasovych, Viktor
    Slobodian, Mykola
    Bilash, Oksana
    Powiązania:
    https://bibliotekanauki.pl/articles/387360.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    pure bending
    strip
    beam
    crack
    plastic strip
    linear conjugation problems
    Opis:
    In the article, the pure bending problem for strip (beam) with straight, perpendicular to its axis crack located in the zone of tensile stresses is investigated on the assumption of narrow plastic strips near crack tips. Using methods of the theory of functions of a complex variable and complex potentials, the problem is reduced to the several linear conjunction problems. The solutions of latter problems are ob-tained in the class of functions confined in the edges of plastic strips. Formulas for the calculation of their lengths are derived. Expressions for the determination of crack tip opening values are written. Numerical analysis of the problem is performed.
    Źródło:
    Acta Mechanica et Automatica; 2020, 14, 1; 44-49
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Travelling wave solutions of the non-linear wave equations
    Autorzy:
    Haider, Jamil A.
    Rahman, Jamshaid U.
    Zaman, Fiazud D.
    Gul, Sana
    Powiązania:
    https://bibliotekanauki.pl/articles/2204690.pdf
    Data publikacji:
    2023
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    nonlinear evolution problems
    coupled equations
    Jacobi elliptic functions
    periodic solutions
    Opis:
    This article focuses on the exact periodic solutions of nonlinear wave equations using the well-known Jacobi elliptic function expansion method. This method is more general than the hyperbolic tangent function expansion method. The periodic solutions are found using this method which contains both solitary wave and shock wave solutions. In this paper, the new results are computed using the closed-form solution including solitary or shock wave solutions which are obtained using Jacobi elliptic function method. The corresponding solitary or shock wave solutions are compared with the actual results. The results are visualised and the periodic behaviour of the solution is described in detail. The shock waves are found to break with time, whereas, solitary waves are found to be improved continuously with time.
    Źródło:
    Acta Mechanica et Automatica; 2023, 17, 2; 239--245
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Konstruowanie rozwiązań wybranych trójwymiarowych zagadnień teorii sprężystości ośrodków niejednorodnych
    On solutions of selected three-dimensional problems of elasticity theory for nonhomogeneous bodies
    Autorzy:
    Kulczycki-Żyhajło, R.
    Bajkowski, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/387083.pdf
    Data publikacji:
    2010
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    teoria sprężystości
    zagadnienia 3D
    theory of elasticity
    3D problems
    Opis:
    Rozpatrzono pierwsze i drugie zagadnienie teorii sprężystości dotyczące półprzestrzeni niejednorodnej składającej się z jednorodnego podłoża i niejednorodnej warstwy wierzchniej o zmieniających się wzdłuż grubości warstwy właściwościach mechanicznych. Zaproponowano algorytm konstruowania rozwiązań trójwymiarowych równań teorii sprężystości.
    First and second problems of the elasticity theory is considered for a non-homogeneous half-space. The body was composed of a non-homogeneous surface layer and a homogeneous half-space. It is assumed that the mechanical properties of coating material are dependent on the depth. The algorithm of solutions to the equations of three-dimensional theory of elasticity is presented.
    Źródło:
    Acta Mechanica et Automatica; 2010, 4, 2; 99-106
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerical Analysis of Crosswise Heterogeneous Covering Structures in 3D Class Structure Conditions
    Autorzy:
    Krentowski, J.
    Tribiłło, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/386233.pdf
    Data publikacji:
    2011
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    analiza numeryczna
    zagadnienia 3D
    struktura
    numerical analysis
    3D problems
    structure
    Opis:
    The following paper presents the results of analyses of multi-layered elements and thick constructions, as well as simplifications used for solving structures of 2D class models published in specialist literature, and compares them with a different approach involving generalization of pertinent problems into 3D classes. An error estimation method was pro-posed, together with a procedure of shaping grid's density ensuring necessary computing precision. Solving huge sets of equations allowed for practically continuous values of complex functions of stress states. Several of the presented typical examples indicate the possibility of applying the algorithms, among others, to heterogeneous structures of reinforced concrete constructions.
    Źródło:
    Acta Mechanica et Automatica; 2011, 5, 4; 67-70
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Solving nonlinear thermal problems of friction by using method of lines
    Autorzy:
    Och, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/387644.pdf
    Data publikacji:
    2015
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    method of lines
    thermal problems of friction
    thermosensitive materials
    problemy termiczne tarcia
    materiały termoczułe
    Opis:
    One-dimensional heat conduction problem of friction for two bodies (half spaces) made of thermosensitive materials was considered. Solution to the nonlinear boundary-value heat conduction problem was obtained in three stages. At the first stage a partial linearization of the problem was performed by using Kirchhoff transform. Next, the obtained boundary-values problem by using the method of lines was brought to a system of nonlinear ordinary differential equations, relatively to Kirchhoff’s function values in the nodes of the grid on the spatial variable, where time is an independent variable. At the third stage, by using the Adams's method from DIFSUB package, a numerical solution was found to the above-mentioned differential equations. A comparative analysis was conducted (Och, 2014) using the results obtained with the proposed method and the method of successive approximations.
    Źródło:
    Acta Mechanica et Automatica; 2015, 9, 1; 33-37
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    General Response Formula for Fractional 2D Continuous-Time Linear Systems Described by the Roesser Model
    Autorzy:
    Rogowski, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/386564.pdf
    Data publikacji:
    2011
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    systemy liniowe
    model Roessera
    zagadnienia 2D
    linear systems
    Roesser model
    2D problems
    Opis:
    A new class of fractional two-dimensional (2D) continuous-time linear systems is introduced. The general response formula for the system is derived using a 2D Laplace transform. It is shown that the classical Cayley-Hamilton theo- rem is valid for such class of systems. Usefulness of the general response formula to obtain a solution of the system is discussed and illustrated by a numerical example.
    Źródło:
    Acta Mechanica et Automatica; 2011, 5, 2; 112-116
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Solutions of the nonlinear evolution problems and their applications
    Autorzy:
    Amir, Muhammad
    Haider, Jamil Abbas
    Rahman, Jamshaid Ul
    Ashraf, Asifa
    Powiązania:
    https://bibliotekanauki.pl/articles/2233663.pdf
    Data publikacji:
    2023
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    Laplace variational iteration method
    nonlinear problems
    duffing equation
    simple pendulum
    mass and spring oscillator
    Simulink
    Opis:
    In this article, a well-known technique, the variational iterative method with the Laplace transform, is used to solve nonlinear evolution problems of a simple pendulum and mass spring oscillator, which represents the duffing equation. In the variational iteration method (VIM), finding the Lagrange multiplier is an important step, and the variational theory is often used for this purpose. This paper shows how the Laplace transform can be used to find the multiplier in a simpler way. This method gives an easy approach for scientists and engineers who deal with a wide range of nonlinear problems. Duffing equation is solved by different analytic methods, but we tackle this for the first time to solve the duffing equation and the nonlinear oscillator by using the Laplace-based VIM. In the majority of cases, Laplace variational iteration method (LVIM) just needs one iteration to attain high accuracy of the answer for linearization anddiscretization, or intensive computational work is needed. The convergence criteria of this method are efficient as compared with the VIM. Comparing the analytical VIM by Laplace transform with MATLAB’s built-in command Simulink that confirms the method’s suitability for solving nonlinear evolution problems will be helpful. In future, we will be able to find the solution of highly nonlinear oscillators.
    Źródło:
    Acta Mechanica et Automatica; 2023, 17, 3; 357--363
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Positive Minimal Realization of Continuous-Discrete Linear Systems with All-Pole and All-Zero Transfer Function
    Autorzy:
    Sajewski, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/386925.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    zagadnienia 2D
    realizacja dodatnia
    obliczanie
    continous-discrete
    2D problems
    minimal
    positive
    realization
    existence
    computation
    Opis:
    The positive and minimal realization problem for continuous-discrete linear single-input and single-outputs (SISO) systems is formulated. Two special case of the continuous-discrete systems are given. Method based on the state variable diagram for finding a positive and minimal realization of a given proper transfer function is proposed. Sufficient conditions for the existence of a positive minimal realization of a given proper transfer function of all-pole and all-zero systems are established. Two procedures for computation of a positive minimal realization are proposed and illustrated by a numerical examples.
    Źródło:
    Acta Mechanica et Automatica; 2013, 7, 1; 42-47
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Koiter asymptotic analysis of thin-walled cold-formed steel members
    Autorzy:
    Ungureanu, V.
    Dubina, D.
    Crisan, A.
    Madeo, A.
    Zagari, G.
    Zucco, G.
    Zinno, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/970614.pdf
    Data publikacji:
    2015
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    Koiter's asymptotic approach
    instability problems
    thin-walled cold-formed steel members
    imperfection sensitivity analysis
    Monte Carlo simulation
    teoria Koitera
    symulacja metodą Monte Carlo
    analiza wrażliwości
    formowanie na zimno
    elementy cienkościenne
    Opis:
    An imperfection sensitivity analysis of cold-formed steel members in compression is presented. The analysis is based on Koiter’s approach and Monte Carlo simulation. If the modes interaction is correctly accounted, than the limit load and the erosion of critical buckling load can be easily evaluated. Thousands of imperfection can be analysed with very low computational cost and an effective statistical evaluation of limit performance can be carried out. The analysis is done on pallet rack uprights in compression, based on an intensive experimental study carried out at the Politehnica University of Timisoara.
    Źródło:
    Acta Mechanica et Automatica; 2015, 9, 4; 245-251
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-9 z 9

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