An analytical method for free vibration analysis of functionally graded beams with edge cracks

Journal of Sound and Vibration ◽

10.1016/j.jsv.2011.11.020 ◽

2012 ◽

Vol 331 (7) ◽

pp. 1686-1700 ◽

Author(s):

Dong Wei ◽

Yinghua Liu ◽

Zhihai Xiang

Keyword(s):

Free Vibration ◽

Analytical Method ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

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An analytical method for temperature-dependent free vibration analysis of functionally graded beams with general boundary conditions

Composite Structures ◽

10.1016/j.compstruct.2010.01.010 ◽

2010 ◽

Vol 92 (8) ◽

pp. 1877-1887 ◽

Author(s):

A. Mahi ◽

E.A. Adda Bedia ◽

A. Tounsi ◽

I. Mechab

Keyword(s):

Free Vibration ◽

Boundary Conditions ◽

Analytical Method ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

General Boundary ◽

General Boundary Conditions ◽

Temperature Dependent

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An analytical method for free vibration analysis of functionally graded sandwich beams

Wind and Structures ◽

10.12989/was.2016.23.1.059 ◽

2016 ◽

Vol 23 (1) ◽

pp. 59-73 ◽

Author(s):

K. Bouakkaz ◽

L. Hadji ◽

N. Zouatnia ◽

E.A. Adda Bedia

Keyword(s):

Free Vibration ◽

Analytical Method ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

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An analytical method for free vibration analysis of functionally graded beams

Materials & Design (1980-2015) ◽

10.1016/j.matdes.2008.05.015 ◽

2009 ◽

Vol 30 (3) ◽

pp. 741-747 ◽

Author(s):

S.A. Sina ◽

H.M. Navazi ◽

H. Haddadpour

Keyword(s):

Free Vibration ◽

Analytical Method ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded

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Bending and free vibration analysis of functionally graded plates made of porous materials according to a novel the semi-analytical method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.09.006 ◽

2021 ◽

Vol 133 ◽

pp. 185-199

Author(s):

Zhao Yin ◽

Hangduo Gao ◽

Gao Lin

Keyword(s):

Free Vibration ◽

Porous Materials ◽

Analytical Method ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Functionally Graded Plates

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Free Vibration Analysis of Rotating Functionally Graded Beams Using the p-Version of the Finite Element Method

Oct. 17-19, 2017 Dubai (UAE) ◽

10.15242/dirpub.dir1017402 ◽

2018 ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Free Vibration ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

The Finite Element Method ◽

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Elastic Buckling and Free Vibration Analysis of Functionally Graded Timoshenko Beam with Nonlocal Strain Gradient Integral Model

Applied Mathematical Modelling ◽

10.1016/j.apm.2021.03.040 ◽

2021 ◽

Author(s):

Yuan Tang ◽

Hai Qing

Keyword(s):

Free Vibration ◽

Timoshenko Beam ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Integral Model ◽

Elastic Buckling ◽

Nonlocal Strain Gradient

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Free vibration analysis of axially functionally graded tapered beam using harmonic differential quadrature method

Materials Today Proceedings ◽

10.1016/j.matpr.2020.12.357 ◽

2021 ◽

Author(s):

Rahul Singh ◽

Pankaj Sharma

Keyword(s):

Free Vibration ◽

Vibration Analysis ◽

Differential Quadrature Method ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Differential Quadrature ◽

Quadrature Method ◽

Tapered Beam ◽

Harmonic Differential Quadrature Method

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Free vibration analysis of a functionally graded material beam: evaluation of the Haar wavelet method

Proceedings of the Estonian Academy of Sciences ◽

10.3176/proc.2017.4.01 ◽

2018 ◽

Vol 67 (1) ◽

pp. 1 ◽

Author(s):

M Kirs ◽

K Karjust ◽

I Aziz ◽

E Õunapuu ◽

E Tungel

Keyword(s):

Free Vibration ◽

Functionally Graded Material ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Haar Wavelet ◽

Functionally Graded ◽

Wavelet Method ◽

Haar Wavelet Method ◽

Graded Material

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Finite Element-based Free Vibration Analysis of Power-Law, Exponential and Sigmoidal Functionally Graded Sandwich Beams

Journal of The Institution of Engineers (India) Series C ◽

10.1007/s40032-021-00740-5 ◽

2021 ◽

Author(s):

Aman Garg ◽

H. D. Chalak ◽

Mohamed-Ouejdi Belarbi ◽

Anupam Chakrabarti ◽

Mohammed-Sid-Ahmed Houari

Keyword(s):

Finite Element ◽

Free Vibration ◽

Power Law ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

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Static and free vibration analysis of doubly-curved functionally graded material shells

Composite Structures ◽

10.1016/j.compstruct.2021.114045 ◽

2021 ◽

pp. 114045

Author(s):

Atteshamuddin S. Sayyad ◽

Yuwaraj M. Ghugal

Keyword(s):

Free Vibration ◽

Functionally Graded Material ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Graded Material ◽

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