Temat: elastic Euler-Bernoulli beam - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A generalized version of the perturbation-based stochastic finite difference method for elastic beams
O zastosowaniu uogólnionej Stochastycznej Metody Elementów Skończonych opartej na technice perturbacji do analizy belek sprężystych
Autorzy:: Kamiński, M.
Powiązania:: https://bibliotekanauki.pl/articles/279338.pdf
Data publikacji:: 2009
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: stochastic perturbation technique
finite difference method
response function method
elastic Euler-Bernoulli beam
Winkler foundation
Opis:: The main idea of this paper is to demonstrate a stochastic computational technique consisting of the generalized stochastic perturbation method using the Taylor expansions of random variables and the classical Finite Difference Method based on regular grids. As it is documented by computational illustrations, it is possible to determine, using this approach, also higher probabilistic moments for any random dispersion of input variables unlike in the second order second moment technique worked out before. A numerical algorithm is implemented here using straightforward partial differentiation of hierarchical equations with respect to the random input quantity and further symbolic computations of probabilistic moments and characteristics by the system MAPLE.
Głównym celem niniejszej pracy jest zastosowanie probabilistycznej analizy numerycznej składającej się z uogólnionej metody perturbacji opartej na szeregu Taylora ze współczynnikami losowymi oraz z Metody Różnic Skończonych dla siatek regularnych. Jak wykazano w przykładach numerycznych, używając tego podejścia można również wyznaczać momenty probabilistyczne wyższych rzędów dla dowolnych funkcji losowych, co było niemożliwe dla zastosowań metod drugiego rzędu znanych wcześniej. Zastosowany tutaj algorytm numeryczny jest oparty na różniczkowaniu bezpośrednim hierarchicznych równań równowagi względem przyjętych zmiennych i na symbolicznym wyznaczaniu momentów i charakterystyk losowych przy pomocy programu MAPLE.
Źródło:: Journal of Theoretical and Applied Mechanics; 2009, 47, 4; 957-975
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Vibrations and stability of Bernoulli-Euler and Timoshenko beams on two-parameter elastic foundation
Autorzy:: Obara, P.
Powiązania:: https://bibliotekanauki.pl/articles/231310.pdf
Data publikacji:: 2014
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: belka Bernoulliego-Eulera
belka Timoshenki
podparcie elastyczne
stabilność
drganie
Bernoulli-Euler beam
Timoshenko beam
elastic foundation
stability
vibration
Opis:: The vibration and stability analysis of uniform beams supported on two-parameter elastic foundation are performed. The second foundation parameter is a function of the total rotation of the beam. The effects of axial force, foundation stiffness parameters, transverse shear deformation and rotatory inertia are incorporated into the accurate vibration analysis. The work shows very important question of relationships between the parameters describing the beam vibration, the compressive force and the foundation parameters. For the free supported beam, the exact formulas for the natural vibration frequencies, the critical forces and the formula defining the relationship between the vibration frequency and the compressive forces are derived. For other conditions of the beam support conditional equations were received. These equations determine the dependence of the frequency of vibration of the compressive force for the assumed parameters of elastic foundation and the slenderness of the beam.
Źródło:: Archives of Civil Engineering; 2014, 60, 4; 421-440
1230-2945
Pojawia się w:: Archives of Civil Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

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

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Skocz do pozycji: 4.

Tytuł:: Mechanical nature of a single walled carbon nanotube using Legendre’s polynomials
Autorzy:: Tiwari, P.
Nagar, P.
Powiązania:: https://bibliotekanauki.pl/articles/279475.pdf
Data publikacji:: 2018
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: Euler-Bernoulli’s beam theory
nonlocal elasticity theory
Legendre’s polynomial
aspect ratio
critical buckling load
Winkler and Pasternak elastic constants
Opis:: This paper is concerned with the mechanical response of a single-walled carbon nanotube. Euler-Bernoulli’s beam theory and Hamilton’s principle are employed to derive the set of governing differential equations. An efficient variational method is used to determine the solution of the problem and Legendre’s polynomials are used to define basis functions. Significance of using these polynomials is their orthonormal property as these shape functions convert mass and stiffness matrices either to zero or one. The impact of various parameters such as length, temperature and elastic medium on the buckling load is observed and the results are furnished in a uniform manner. The degree of accuracy of the obtained results is verified with the available literature, hence illustrates the validity of the applied method. Current findings show the usage of nanostructures in vast range of engineering applications. It is worth mentioning that completely new results are obtained that are in validation with the existing results reported in literature.
Źródło:: Journal of Theoretical and Applied Mechanics; 2018, 56, 4; 1153-1162
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

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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Skocz do pozycji: 6.

Tytuł:: A hybrid procedure to identify the optimal stiffness coefficients of elastically restrained beams
Autorzy:: Silva, T.
Loja, M.
Maia, N.
Barbosa, J.
Powiązania:: https://bibliotekanauki.pl/articles/330867.pdf
Data publikacji:: 2015
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: transverse vibration
Bernoulli-Euler beam
elastic support
torsional stiffness coefficient
differential evolution
Kriging predictor
drgania poprzeczne
belka Bernoulliego-Eulera
podparcie elastyczne
sztywność skrętna
ewolucja różnicowa
Opis:: The formulation of a bending vibration problem of an elastically restrained Bernoulli–Euler beam carrying a finite number of concentrated elements along its length is presented. In this study, the authors exploit the application of the differential evolution optimization technique to identify the torsional stiffness properties of the elastic supports of a Bernoulli–Euler beam. This hybrid strategy allows the determination of the natural frequencies and mode shapes of continuous beams, taking into account the effect of attached concentrated masses and rotational inertias, followed by a reconciliation step between the theoretical model results and the experimental ones. The proposed optimal identification of the elastic support parameters is computationally demanding if the exact eigenproblem solving is considered. Hence, the use of a Gaussian process regression as a meta-model is addressed. An experimental application is used in order to assess the accuracy of the estimated parameters throughout the comparison of the experimentally obtained natural frequency, from impact tests, and the correspondent computed eigenfrequency.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2015, 25, 2; 245-257
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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