Temat: Bernoulli-Euler beam - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Effect of crack parameters on free vibrations of the Bernoulli-Euler beam
Autorzy:: Zamorska, I.
Cekus, D.
Miara, M.
Powiązania:: https://bibliotekanauki.pl/articles/122802.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Bernoulli-Euler beam
crack
free vibration
mathematical modelling
CATIA
belka Bernoulliego-Eulera
pęknięcie
drgania swobodne
modelowanie matematyczne
Opis:: The paper presents the problem of free vibration of the cantilever Bernoulli-Euler beam with a crack. The beam along the length has a variable cross-sectional area, and the crack parameters (thickness, depth and location) undergo changes. The work includes an analytical solution of the vibration problem and the results obtained with the use of FEM and CATIA program.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 167-174
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Free vibration of axially functionally graded Euler-Bernoulli beams
Autorzy:: Kukla, S.
Rychlewska, J.
Powiązania:: https://bibliotekanauki.pl/articles/122752.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: axially functionally graded beams
free vibration
Euler-Bernoulli beam theory
Opis:: In this contribution, free vibration of axially functionally graded beams is analysed within the framework of the Euler-Bernoulli beam theory. The beams with uniaxial variation of the elasticity modulus and mass density are approximated by an equivalent beam with piecewise exponentially varying geometrical and material properties. A numerical example for a beam with pinned ends is presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 1; 39-44
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Damage identification of a beam with a variable cross-sectional area
Autorzy:: Cekus, D.
Miara, M.
Zamorska, I.
Powiązania:: https://bibliotekanauki.pl/articles/122916.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Bernoulli-Euler beam
crack
damage
free vibration
Green's functions
identification
vibration method
teoria Bernoulliego-Eulera
belka wspornikowa
funkcja Greena
pęknięcie
drgania swobodne
Opis:: In the paper, the process of identification of crack parameters occurring in the cantilever beam with the variable cross-sectional area has been presented. For identification, the non-destructive vibration method has been applied. The analytical solution of the free vibration problem of the beam described according to the Bernoulli-Euler theory has been obtained with the help of Green’s functions.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 23-32
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

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

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Skocz do pozycji: 5.

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

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Skocz do pozycji: 6.

Tytuł:: A new approach for buckling analysis of axially functionally graded beams
Autorzy:: Rychlewska, J.
Powiązania:: https://bibliotekanauki.pl/articles/122955.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: functionally graded beams
buckling load
Euler-Bernoulli beam theory
funkcjonalne belki gradientowe
teoria Bernoulliego-Eulera
Opis:: The object of considerations are axially functionally graded (FG) beams, which are loaded by an axial force varying along the length of the beam. The main idea presented here is to approximate FG beams by an equivalent beam with piecewise exponentially varying material properties, geometrical properties and axial load. Numerical solutions of the buckling analysis are obtained for four various types of boundary conditions associated with pinned and clamped ends. The usefulness of the proposed method is confirmed by comparing numerical results with those available for graded beams of special polynomial non-homogeneity.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 2; 95-102
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

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

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