Free vibration analysis of FGM cylindrical shell partially resting on Pasternak elastic foundation with an oblique edge

Kim, Young-Wann

doi:10.1016/j.compositesb.2014.11.024

Cited by 79 publications

(20 citation statements)

References 43 publications

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“…The Winkler or Pasternak elastic foundation models are perhaps the most popular ones [105][106][107][108][109][110][111][112]. Simulation of the soil foundation by the conventional elastic foundation models (e.g., the Winkler or Pasternak-type foundation models) may results in significant error, since load-deflection relationship of soils has a general non-linear shape [113].…”

Section: Introductionmentioning

confidence: 99%

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

Alinaghizadeh

Shariati

2016

Composites Part B: Engineering

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Section: Introductionmentioning

confidence: 99%

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

Alinaghizadeh

Shariati

2016

Composites Part B: Engineering

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“…It was reported that thickness and material of shell [132] greatly affect the fundamental frequency of FGM shells. Kim [133] evaluated free vibration of FGM shells mounted on elastic foundation having an oblique edge with the help of FSDT. It was found that the frequency of FGM shells decreases with an increase of oblique angle.…”

Section: Advances In Materials Science and Engineeringmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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“…The free vibration characteristics of FGM cylindrical shells partially resting on elastic foundation with an oblique edge are investigated by Kim [14]. The eigenvalue problem is obtained using Rayleigh-Ritz method and variational approach.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of cylindrical shells partially resting on an elastic foundation

Torkaman-Asadi

Firouz-Abadi

2015

Meccanica

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The present study aims at the investigation of free vibration analysis of thin cylindrical shells surrounded by an elastic medium, which is distributed over a particular length of the shell. The Love's shell theory is utilized along with the Winkler foundation to obtain the governing equations of motion. An exact series expansion method of solution is employed for any arbitrary boundary conditions. The excellent accuracy of the obtained results is validated by comparing to the available literature. Moreover, several case studies are performed to provide an insight into the influence of some practically important parameters on free vibrations of circular cylindrical shells, including stiffness and length of the partial foundation. Finally, it is concluded that the proposed method can accurately determine the exact solution to the free vibration of shells partially surrounded by elastic foundations with any boundary conditions.

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Free vibration analysis of FGM cylindrical shell partially resting on Pasternak elastic foundation with an oblique edge

Cited by 79 publications

References 43 publications

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Free vibration analysis of cylindrical shells partially resting on an elastic foundation

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