Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

Wyszukujesz frazę "Bernoulli-Euler beam" wg kryterium: Temat


Wyświetlanie 1-8 z 8
Tytuł:
Timoshenko beam model for vibration analysis of composite steel-polymer concrete box beams
Autorzy:
Niesterowicz, Beata
Dunaj, Paweł
Berczyński, Stefan
Powiązania:
https://bibliotekanauki.pl/articles/2055041.pdf
Data publikacji:
2020
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
Timoshenko beam
Euler-Bernoulli beam
free vibration
composite beam
finite element model
Opis:
The free vibration model of a steel-polymer concrete beam based on Timoshenko beam theory is presented in this paper. The results obtained on the basis of the model analysis, describing the values of the natural frequencies of the beam vibrations, were compared with the results obtained by the solution of the model formulated on the basis of the classical Euler-Bernoulli beam theory, the finite element model and the results of experimental studies. The developed model is characterized by high compliance with experimental data: the relative error in the case of natural vibration frequencies does not exceed 0.4%, on average 0.2%.
Źródło:
Journal of Theoretical and Applied Mechanics; 2020, 58, 3; 799--810
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear vibration of a beam resting on a nonlinear viscoelastic foundation traversed by a moving mass: a homotopy analysis
Autorzy:
Pourseifi, Mehdi
Monfared, Mojtaba Mahmoudi
Powiązania:
https://bibliotekanauki.pl/articles/38890049.pdf
Data publikacji:
2022
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
Euler-Bernoulli beam
nonlinear viscoelastic foundation
moving mass
homotopy analysis method
Opis:
In this study, the dynamic response of an Euler-Bernoulli beam resting on the nonlinear viscoelastic foundation under the action of a moving mass by considering the stretching effect of the beam’s neutral axis is investigated. A Dirac-delta function is applied to model the location of the moving mass along the beam as well as its inertial effects. The Galerkin decomposition method is used to transform a partial dimensionless nonlinear differential equation of dynamic motion into an ordinary nonlinear differential equation. Subsequently, the well-known homotopy analysis method (HAM) is employed to obtain an approximate analytical solution of this equation. The validity and accuracy of the solution are examined numerically using the fourth-order Runge-Kutta method. Finally, several examples are provided to show the effects of parameters such as linear and nonlinear stiffness coefficients of a viscoelastic foundation, velocity of the moving mass as well as Coriolis force, centrifugal force and inertia force of the moving mass on the dynamic deflection of the beam.
Źródło:
Engineering Transactions; 2022, 70, 4; 355-371
0867-888X
Pojawia się w:
Engineering Transactions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Resonant Greens function for Euler-Bernoulli beams by means of the Fredholm Alternative Theorem
Autorzy:
Hozhabrossadati, S. M.
Sani, A. A.
Mofid, M.
Powiązania:
https://bibliotekanauki.pl/articles/973616.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Fredholm Alternative Theorem
modified Green’s function
resonance
Euler-Bernoulli beam
rezonans
Opis:
This paper presents the Green's function for a uniform thin beam which is assumed to obey the Euler-Bernoulli theory at resonant condition. The beam under study has a simple support at one end and a sliding support at the other. First, the differential equation governing the free vibration of the beam is obtained in the frequency domain using the Fourier transform. Then, we try to find the corresponding Green's function of the problem. But a contradiction occurs due to the special properties of resonance. In order to overcome this hurdle, the Fredholm Alternative Theorem is utilized. Remarkably, it is shown that this theorem, by adding a particular term to the Green's function, can remedy this problem and the modified Green's function is consequently established. Moreover, the deformation function of the beam is found in an integral equation form. Some diagrams and tables conclude this study.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 55-67
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Influence of substructure properties on natural vibrations of periodic Euler-Bernoulli beams
Autorzy:
Świątek, M.
Jędrysiak, J.
Domagalski, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/127865.pdf
Data publikacji:
2016
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
periodic beams
Euler-Bernoulli beam
belka o strukturze periodycznej
belka Bernoulliego-Eulera
Opis:
In this paper there are considered vibrations of Euler-Bernoulli beams with geometrical and material properties periodically varying along the axis. The basic exact equations with highly oscillating periodic coefficients are replaced by the system of averaged equations with constant coefficients. The new model is based on the tolerance modelling technique, which describes macro-dynamics of the beam including the effect of the microstructure size. The purpose of this paper is to present an approximately equivalent model, which describe vibrations of periodic beams taking into account length of the periodicity cell.
Źródło:
Vibrations in Physical Systems; 2016, 27; 377-384
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear vibrations of a slender beam interacting with a periodic viscoelastic subsoil
Autorzy:
Świątek, M.
Jędrysiak, J.
Domagalski, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/127930.pdf
Data publikacji:
2018
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
periodic beams
Euler-Bernoulli beam
belka o strukturze periodycznej
belka Bernoulliego-Eulera
Opis:
The paper describes nonlinear vibrations of Euler-Bernoulli beams interacting with a periodic viscoelastic foundation. The original model equations with highly oscillating periodic coefficients are transformed using the tolerance modelling technique. Newly delivered equations have constant coefficients and describe macro-dynamics of the beam including the effect of the microstructure size. The main purpose of this paper is to propose an equivalent approximate model describing the nonlinear vibrations of a beam interacting with a periodic viscoelastic subsoil.
Źródło:
Vibrations in Physical Systems; 2018, 29; 1-9
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of differential equation for the Euler-Bernoulli beam
Autorzy:
Zamorska, I.
Powiązania:
https://bibliotekanauki.pl/articles/122716.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Euler-Bernoulli beam
power series method
mathematical modeling
belka Bernoulliego-Eulera
modelowanie matematyczne
Opis:
The paper presents the solution of a fourth order differential equation with various coefficients occurring in the vibration problem of the Euler-Bernoulli beam. The concerning equation is written as a first order matrix differential equation. To solve the equation, the power series method is proposed.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 157-162
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic behaviour of axially functionally graded beam resting on variable elastic foundation
Autorzy:
Kumar, Saurabh
Powiązania:
https://bibliotekanauki.pl/articles/1845017.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
free vibration
variable elastic foundation
axially functionally graded beams
Euler-Bernoulli beam
Timoshenko beam
wolne wibracje
podłoże zmiennie sprężyste
belka Eulera-Bernoulliego
wiązka Tymoszenko
Opis:
In this paper, a comprehensive study is carried out on the dynamic behaviour of Euler–Bernoulli and Timoshenko beams resting on Winkler type variable elastic foundation. The material properties of the beam and the stiffness of the foundation are considered to be varying along the length direction. The free vibration problem is formulated using Rayleigh-Ritz method and Hamilton’s principle is applied to generate the governing equations. The results are presented as non-dimensional natural frequencies for different material gradation models and different foundation stiffness variation models. Two distinct boundary conditions viz., clamped-clamped and simply supported-simply supported are considered in the analysis. The results are validated with existing literature and excellent agreement is observed between the results.
Źródło:
Archive of Mechanical Engineering; 2020, LXVII, 4; 451-470
0004-0738
Pojawia się w:
Archive of Mechanical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some closed-form bending formulas for elastically restrained Euler-Bernoulli beams under point and uniformly distributed loads
Autorzy:
Yıldırım, V.
Powiązania:
https://bibliotekanauki.pl/articles/122937.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Euler-Bernoulli beam
elastic support
transfer matrix method
initial value problem
bending
belka Eulera-Bernoulliego
teoria Eulera-Bernoulliego
metoda macierzy transferu
Opis:
The transfer matrix method based on the Euler-Bernoulli beam theory is employed in order to originally achieve some exact analytical formulas for elastically supported beams under a point force together with uniformly distributed force and uniformly distributed couple moments. Those closed-form formulas can be used in a variety of engineering applications especially at the pre-design stage to get an insight into the response of the structure. Contrary to the classical boundary conditions, it is also observed that the Euler-Bernoulli solutions of a beam with elastic supports are sensitive to the ratio of length to thickness (L/h).
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 97-109
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-8 z 8

    Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies