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Wyszukujesz frazę "nonlinear free vibration" wg kryterium: Temat

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    Wyświetlanie 1-6 z 6
    Tytuł:
    Free vibrations of the partially tensioned geometrically non-linear system subjected to Euler’s load
    Autorzy:
    Uzny, S.
    Sokół, K.
    Osadnik, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/127651.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    column
    Bernoulli-Euler's theory
    free vibration frequency
    nonlinear system
    characteristic curves
    amplitude of vibration
    nonlinear component of free vibrations frequency
    kolumna
    teoria Eulera-Bernoulliego
    częstotliwość drgań własnych
    układ nieliniowy
    krzywe charakterystyczne
    amplituda drgań
    nieliniowa składowa częstości drgań własnych
    Opis:
    In this study the fixed-fixed column subjected to axial Euler’s load has been investigated. The load is placed between the fixed ends of the structure and its location can be changed along column’s length. The boundary problem of free vibrations of the mentioned system has been formulated on the basis of Bernoulli – Euler theory and taking into account non-linear axial deformation relationship. Due to non-linear expressions the solution of the problem was done with small parameter method. In the paper the change of the first vibration frequency in relation to location and magnitude of the loading force was obtained. The relationship between natural vibration frequency and the amplitude is also discussed.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 399-406
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The analysis of non-linear free vibration of FGM nano-beams based on the conformable fractional non-local model
    Autorzy:
    Rahimi, Z.
    Sumelka, W.
    Shafiei, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/201202.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    FGM nano beam
    nonlinear free vibration
    fractional calculus
    integer stress
    non-integer stress
    gradient’s order
    fractional non-local model
    rachunek różniczkowy
    FGM
    drgania swobodne
    Opis:
    Continuum models generalized by fractional calculus are used in different mechanical problems. In this paper, by using the conformable fractional derivative (CFD) definition, a general form of Eringen non-local theory as a fractional non-local model (FNM) is formulated. It is then used to study the non-linear free vibration of a functional graded material (FGM) nano-beam in the presence of von-Kármán non-linearity. A numerical solution is obtained via Galerkin and multiple scale methods and effects of the integer and non-integer (fractional) order of stress gradient (in the non-local stress-strain relation) on the ratio of the non-local non-linear natural frequency to classical non-linear natural frequency of simply-supported (S-S) and clamped-free (C-F) FGM nano-beams are presented.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 5; 737-745
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Exact solution for large amplitude flexural vibration of nanobeams using nonlocal Euler-Bernoulli theory
    Autorzy:
    Nazemnezhad, R.
    Hosseini-Hashemi, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/279261.pdf
    Data publikacji:
    2017
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    nonlinear free vibration
    nonlocal elasticity
    nanobeam
    exact solution
    elliptic integrals
    Opis:
    In this paper, nonlinear free vibration of nanobeams with various end conditions is studied using the nonlocal elasticity within the frame work of Euler-Bernoulli theory with von K´arm´an nonlinearity. The equation of motion is obtained and the exact solution is established using elliptic integrals. Two comparison studies are carried out to demonstrate accuracy and applicability of the elliptic integrals method for nonlocal nonlinear free vibration analysis of nanobeams. It is observed that the phase plane diagrams of nanobeams in the presence of the small scale effect are symmetric ellipses, and consideration the small scale effect decreases the area of the diagram.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2017, 55, 2; 649-658
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A discrete model for geometrically nonlinear free and forced vibrations of stepped and continuously segmented Euler-Bernoulli AFG beams (SAFGB) carrying point masses
    Autorzy:
    Moukhliss, Anass
    Rahmouni, Abdellatif
    Bouksour, Othman
    Benamar, Rhali
    Powiązania:
    https://bibliotekanauki.pl/articles/2146732.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
    Tematy:
    discrete model
    stepped beam
    free non-linear vibration
    forced nonlinear vibration
    AFG beam
    point mass
    model dyskretny
    belka o skokowo zmiennym przekroju
    drgania swobodne
    drgania wymuszone
    drgania nieliniowe
    Opis:
    A discrete model is applied to handle the geometrically nonlinear free and forced vibrations of beams consisting of several different segments whose mechanical characteristics vary in the length direction and contain multiple point masses located at different positions. The beam is presented by an N degree of freedom system (N-Dof). An approach based on Hamilton's principle and spectral analysis is applied, leading to a nonlinear algebraic system. A change of basis from the displacement basis to the modal basis has been performed. The mechanical behavior of the N-Dof system is described in terms of the mass tensor mij, the linear stiffness tensor kij, and the nonlinear stiffness tensor bijkl. The nonlinear vibration frequencies as functions of the amplitude of the associated vibrations in the free and forced cases are predicted using the single mode approach. Once the formulation is established, several applications are considered in this study. Different parameters control the frequency-amplitude dependence curve: the laws that describe the variation of the mechanical properties along the beam length, the number of added masses, the magnitude of excitation force, and so on. Comparisons are made to show the reliability and applicability of this model to non-uniform and non-homogeneous beams in free and forced cases.
    Źródło:
    Diagnostyka; 2022, 23, 4; art no 2022401
    1641-6414
    2449-5220
    Pojawia się w:
    Diagnostyka
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear Free Vibration Analysis of Micro-beams Resting on Viscoelastic Foundation Based on the Modified Couple Stress Theory
    Autorzy:
    Jam, J. E.
    Noorabadi, M.
    Namdaran, N.
    Powiązania:
    https://bibliotekanauki.pl/articles/139530.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    nonlinear free vibration
    size dependence
    modified couple stress theory
    Euler-Bernoulli beam model
    Galerkin method
    swobodne drgania nieliniowe
    zależność od wielkości
    zmodyfikowana teoria naprężeń momentowych
    model belki Eulera-Bernouliego
    metoda Galerkina
    Opis:
    In this paper, nonlinear free vibration analysis of micro-beams resting on the viscoelastic foundation is investigated by the use of the modified couple stress theory, which is able to capture the size effects for structures in micron and sub-micron scales. To this aim, the governing equation of motion and the boundary conditions are derived using the Euler–Bernoulli beam and the Hamilton’s principle. The Galerkin method is employed to solve the governing nonlinear differential equation and obtain the frequency-amplitude algebraic equation. Finally, the effects of different parameters, such as the mode number, aspect ratio of length to height, the normalized length scale parameter and foundation parameters on the natural frequency-amplitude curves of doubly simply supported beams are studied.
    Źródło:
    Archive of Mechanical Engineering; 2017, LXIV, 2; 239-256
    0004-0738
    Pojawia się w:
    Archive of Mechanical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The effect of added point masses on the geometrically non-linear vibrations of SCSC rectangular plates
    Autorzy:
    Hamdani, Mustapha
    El Kadiri, Mounia
    Benamar, Rhali
    Powiązania:
    https://bibliotekanauki.pl/articles/2096183.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
    Tematy:
    SCSC rectangular plates
    added mass
    nonlinear free vibration
    nonlinear forced vibration
    swobodne drgania nieliniowe
    płyta prostokątna
    nieliniowe drgania wymuszone
    Opis:
    A point mass added to a plate may have a significant effect on its linear and nonlinear dynamics, including frequencies, mode shapes and the forced response to external loading. In the present paper, a simply supported clamped simply supported clamped rectangular plate (SCSCRP) carrying a point mass is examined. The expressions for the kinetic, linear and non-linear strain energies are derived by taking into account the effect of the added mass on the kinetic energy and the effect of the membrane forces induced by the non-linearity on the strain energy. The discretization of these expressions makes the mass tensor, the linear and non-linear rigidity tensors appear in a non-linear algebraic multimode amplitude equation, the iterative solution of which permit to obtain, in the neighborhood of the first non-linear mode, the basic SCSCRP function amplitude dependent contribution coefficients. Nonlinear frequency response functions have been obtained for the first time, based on an iterative numerical solution in each case of the associated complete set of nonlinear algebraic equations. Such new results are useful for a better qualitative understanding allowing an optimal dynamic design of the rectangular plates with added masses.
    Źródło:
    Diagnostyka; 2022, 23, 2; art. no. 2022206
    1641-6414
    2449-5220
    Pojawia się w:
    Diagnostyka
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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