PL
 |
EN
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 11

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  Euler-Bernoulli beam
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available Nonlinear vibration of a beam resting on a nonlinear viscoelastic foundation traversed by a moving mass: a homotopy analysis
Pourseifi Mehdi, Monfared Mojtaba Mahmoudi
Engineering Transactions
|
2022
|
Vol. 70, iss. 4
355--371
EN
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.
2
Content available Timoshenko beam model for vibration analysis of composite steel-polymer concrete box beams
Niesterowicz Beata, Dunaj Paweł, Berczyński Stefan
Journal of Theoretical and Applied Mechanics
|
2020
|
Vol. 58 nr 3
799--810
EN
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%.
3
Content available Dynamic behaviour of axially functionally graded beam resting on variable elastic foundation
Kumar Saurabh
Archive of Mechanical Engineering
|
2020
|
LXVII, nr 4
451--470
EN
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.
4
Content available Nonlinear vibrations of a slender beam interacting with a periodic viscoelastic subsoil
Świątek M., Jędrysiak J., Domagalski Ł.
Vibrations in Physical Systems
|
2018
|
Vol. 29
art. no. 2018030
EN
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.
5
Content available Some closed-form bending formulas for elastically restrained Euler-Bernoulli beams under point and uniformly distributed loads
Yıldırım V.
Journal of Applied Mathematics and Computational Mechanics
|
2018
|
Vol. 17, nr 3
97--109
EN
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).
6
Content available remote Analysis of Euler-Bernoulli beams with arbitrary boundary conditions on Winkler foundation using a b-spline collocation method
Ghannadiasl A., Golmogany M. Z.
Engineering Transactions
|
2017
|
Vol. 65, iss. 3
423--445
EN
Structural beams are important parts of engineering projects. The structural analysis of beams is required to ensure that they provide the specifics needed to prevent and withstand failure. Therefore, the numerical solution to analyze an Euler-Bernoulli beam with arbitrary boundary conditions using sextic B-spline method is presented in this paper. A direct modeling technique is applied for modeling the Euler-Bernoulli beam with arbitrary boundary conditions on an elastic Winkler foundation. For this purpose, the effect of the translational along with rotational support, the type of beam supports and the elastic coefficient of Winkler foundation are assessed. Finally, some numerical examples are shown to present the efficiency of the sextic B-spline collocation method. To validate the analysis of the Euler-Bernoulli beam with the presented method, the results of B-spline collocation method are compared with the results of the analytical method and the integrated finite element analysis of structures (SAP2000).
7
Content available Influence of substructure properties on natural vibrations of periodic Euler-Bernoulli beams
Świątek M., Jędrysiak J., Domagalski Ł.
Vibrations in Physical Systems
|
2016
|
Vol. 27
377--384
EN
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.
8
Content available Solution of differential equation for the Euler-Bernoulli beam
Zamorska I.
Journal of Applied Mathematics and Computational Mechanics
|
2014
|
Vol. 13, nr 4
157--162
EN
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.
9
Content available Resonant Green's function for Euler-Bernoulli beams by means of the Fredholm Alternative Theorem
Hozhabrossadati S. M., Sani A. A., Mofid M.
Journal of Applied Mathematics and Computational Mechanics
|
2013
|
Vol. 12, nr 3
55--67
EN
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.
10
Content available remote Identification of Crack in Beams Using Eigenfrequency
Majkut L.
Vibrations in Physical Systems
|
2004
|
Vol. 21
251--254
11
Content available remote Identification of Crack in Beams Based on Measurements of Forced Vibration Amplitudes
Majkut L.
Vibrations in Physical Systems
|
2004
|
Vol. 21
255--258
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.