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2016 | 14 | 1 | 661-672
Tytuł artykułu

Modeling of vibration for functionally graded beams

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this study, a vibration problem of Euler-Bernoulli beam manufactured with Functionally Graded Material (FGM), which is modelled by fourth-order partial differential equations with variable coefficients, is examined by using the Adomian Decomposition Method (ADM).The method is one of the useful and powerful methods which can be easily applied to linear and nonlinear initial and boundary value problems. As to functionally graded materials, they are composites mixed by two or more materials at a certain rate. This mixture at a certain rate is expressed with an exponential function in order to try to minimize singularities from transition between different surfaces of materials as much as possible. According to the structure of the ADM in terms of initial conditions of the problem, a Fourier series expansion method is used along with the ADM for the solution of simply supported functionally graded Euler-Bernoulli beams. Finally, by choosing an appropriate mixture rate for the material, the results are shown in figures and compared with those of a standard (homogeneous) Euler-Bernoulli beam.
Wydawca
Czasopismo
Rocznik
Tom
14
Numer
1
Strony
661-672
Opis fizyczny
Daty
wydano
2016-01-01
otrzymano
2016-07-26
zaakceptowano
2016-08-24
online
2016-09-30
Twórcy
autor
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_math-2016-0057
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