Modeling of vibration for functionally graded beams

• Autorzy: Gülsemay Yiğit , Ali Şahin , Mustafa Bayram
• 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.

Słowa kluczowe

EN

Adomian decomposition method; Functionally graded beam; Fourier analysis; Orthogonality

Kategorie tematyczne

• 74K10: Rods (beams, columns, shafts, arches, rings, etc.)
• 35L35: Initial-boundary value problems for higher-order hyperbolic equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 661-672

Daty

wydano

2016-01-01

otrzymano

2016-07-26

zaakceptowano

2016-08-24

online

2016-09-30

Twórcy

autor

Gülsemay Yiğit

• Department of Electrical and Electronics Engineering, Istanbul Kemerburgaz University, Istanbul,

autor

Ali Şahin

• Vodno Consultancy, 1000 Skopje,

autor

Mustafa Bayram

• Department of Computer Engineering, Istanbul Gelisim University, Istanbul,

Identyfikatory

DOI

10.1515/math-2016-0057