A general Fourier formulation for vibration analysis of functionally graded sandwich beams with arbitrary boundary condition and resting on elastic foundations

Acta Mechanica ◽

10.1007/s00707-016-1575-8 ◽

2016 ◽

Vol 227 (5) ◽

pp. 1493-1514 ◽

Author(s):

Zhu Su ◽

Guoyong Jin ◽

Yunlong Wang ◽

Xinmao Ye

Keyword(s):

Boundary Condition ◽

Vibration Analysis ◽

Functionally Graded ◽

Sandwich Beams ◽

Arbitrary Boundary ◽

Arbitrary Boundary Condition ◽

Elastic Foundations

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A modeling method for vibration analysis of cracked beam with arbitrary boundary condition

Journal of Ocean Engineering and Science ◽

10.1016/j.joes.2018.11.003 ◽

2018 ◽

Vol 3 (4) ◽

pp. 367-381 ◽

Author(s):

Kwanghun Kim ◽

Sok Kim ◽

Kyongjin Sok ◽

Chanil Pak ◽

Kwangbok Han

Keyword(s):

Boundary Condition ◽

Vibration Analysis ◽

Modeling Method ◽

Cracked Beam ◽

Arbitrary Boundary ◽

Arbitrary Boundary Condition

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A modeling method for vibration analysis of cracked laminated composite beam of uniform rectangular cross-section with arbitrary boundary condition

Composite Structures ◽

10.1016/j.compstruct.2018.10.006 ◽

2019 ◽

Vol 208 ◽

pp. 127-140 ◽

Author(s):

Kwanghun Kim ◽

Kwangnam Choe ◽

Sok Kim ◽

Qingshan Wang

Keyword(s):

Boundary Condition ◽

Cross Section ◽

Composite Beam ◽

Vibration Analysis ◽

Rectangular Cross Section ◽

Laminated Composite ◽

Modeling Method ◽

Arbitrary Boundary ◽

Arbitrary Boundary Condition ◽

Laminated Composite Beam

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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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Vibration analysis of thin-walled functionally graded sandwich beams with non-uniform polygonal cross-sections

Composite Structures ◽

10.1016/j.compstruct.2021.114723 ◽

2021 ◽

pp. 114723

Author(s):

Tan-Tien Nguyen ◽

Ngoc-Linh Nguyen ◽

Jaehong Lee ◽

Quoc-Hung Nguyen

Keyword(s):

Cross Sections ◽

Vibration Analysis ◽

Functionally Graded ◽

Sandwich Beams ◽

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A unified solution method for free vibration analysis of functionally graded rotating type plates with elastic boundary condition

Journal of Ocean Engineering and Science ◽

10.1016/j.joes.2020.06.002 ◽

2020 ◽

Author(s):

Poknam Han ◽

Gangchol Li ◽

Kwanghun Kim ◽

Kwangil An ◽

Hoyong Yun

Keyword(s):

Boundary Condition ◽

Free Vibration ◽

Vibration Analysis ◽

Solution Method ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Elastic Boundary

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Vibration analysis of the functionally graded carbon nanotube reinforced composite shallow shells with arbitrary boundary conditions

Composite Structures ◽

10.1016/j.compstruct.2017.09.043 ◽

2017 ◽

Vol 182 ◽

pp. 364-379 ◽

Author(s):

Qingshan Wang ◽

Xiaohui Cui ◽

Bin Qin ◽

Qian Liang

Keyword(s):

Carbon Nanotube ◽

Boundary Conditions ◽

Vibration Analysis ◽

Functionally Graded ◽

Arbitrary Boundary ◽

Shallow Shells ◽

Arbitrary Boundary Conditions ◽

Reinforced Composite

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A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations

Geomechanics and Engineering ◽

10.12989/gae.2016.11.2.289 ◽

2016 ◽

Vol 11 (2) ◽

pp. 289-307 ◽

Author(s):

Hayat Saidi ◽

Abdelouahed Tounsi ◽

Abdelmoumen Anis Bousahla

Keyword(s):

Shear Deformation ◽

Vibration Analysis ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Functionally Graded ◽

Rectangular Plates ◽

Elastic Foundations

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Free vibration analysis of bidirectional functionally graded annular plates resting on elastic foundations using differential quadrature method

STRUCTURAL ENGINEERING AND MECHANICS ◽

10.12989/sem.2014.52.4.663 ◽

2014 ◽

Vol 52 (4) ◽

pp. 663-686 ◽

Author(s):

Vahid Tahouneh

Keyword(s):

Free Vibration ◽

Vibration Analysis ◽

Differential Quadrature Method ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Differential Quadrature ◽

Quadrature Method ◽

Elastic Foundations ◽

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Simplified Analysis Method for Elastic Vibration of Anisotropic Plates with Arbitrary Boundary Condition

The Proceedings of the Dynamics & Design Conference ◽

10.1299/jsmedmc.2019.111 ◽

2019 ◽

Vol 2019 (0) ◽

pp. 111

Author(s):

Tomoya SAKASHITA ◽

Takahiro TOMIOKA

Keyword(s):

Boundary Condition ◽

Elastic Vibration ◽

Analysis Method ◽

Arbitrary Boundary ◽

Anisotropic Plates ◽

Arbitrary Boundary Condition ◽

Simplified Analysis

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Free Vibration Analysis of FGM Sandwich Beams Containing Edge Cracks

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.488-489.230 ◽

2012 ◽

Vol 488-489 ◽

pp. 230-235 ◽

Author(s):

Javad Soltani Rad ◽

Ali Tivay ◽

Mojtaba Sadighi

Keyword(s):

Vibration Analysis ◽

Natural Frequencies ◽

Free Vibration Analysis ◽

Flexural Vibration ◽

Functionally Graded ◽

Finite Element Models ◽

Sandwich Beams ◽

Crack Configuration ◽

Different Depths ◽

This paper presents a vibration analysis of sandwich beams with functionally-graded skins containing edge cracks. Finite Element models of FGM sandwich beams are created with different depths and locations of the edge-cracks, and the first four natural frequencies of the beam are obtained for each crack configuration. The integrity of the data is validated for the FGM skins in comparison to a previously published reference. Finally, an inspection is conducted on the data to show the influences of the location and depth of cracks and material properties on the flexural vibration characteristics of cracked FGM sandwich beams.

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