Free vibration analysis of nanocones embedded in an elastic medium using a nonlocal continuum shell model

M. M. Fotouhi; R. D. Firouz-Abadi; H. Haddadpour

doi:10.1016/j.ijengsci.2012.12.003

Free vibration analysis of nanocones embedded in an elastic medium using a nonlocal continuum shell model

M. M. Fotouhi, R. D. Firouz-Abadi, H. Haddadpour

Research output: Journal Publication › Article › peer-review

46 Citations (Scopus)

Abstract

The effect of elastic foundation on the free vibration characteristics of embedded nanocones is investigated in this paper. The nanocone is modeled as a thin shell and the nonlocal elasticity theory is used to derive the governing equations of motion. Also the elastic medium is simulated using Winkler and Pasternak foundation models. Based on the modal analysis technique and applying the Galerkin method the governing equations are solved to obtain the natural frequencies. The drawn results emphasis the effects of geometry and small-scale parameter on the natural frequencies of nanocone. Also the effect of elastic foundation modulus on the resonance frequencies of the nanocones are studied and some conclusions are outlined.

Original language	English
Pages (from-to)	14-22
Number of pages	9
Journal	International Journal of Engineering Science
Volume	64
DOIs	https://doi.org/10.1016/j.ijengsci.2012.12.003
Publication status	Published - 2013
Externally published	Yes

Keywords

Elastic foundation
Free vibration
Nanocone
Nonlocal continuum theory
Winkler and Pasternak models

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
General Engineering
Mechanical Engineering

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10.1016/j.ijengsci.2012.12.003

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title = "Free vibration analysis of nanocones embedded in an elastic medium using a nonlocal continuum shell model",

abstract = "The effect of elastic foundation on the free vibration characteristics of embedded nanocones is investigated in this paper. The nanocone is modeled as a thin shell and the nonlocal elasticity theory is used to derive the governing equations of motion. Also the elastic medium is simulated using Winkler and Pasternak foundation models. Based on the modal analysis technique and applying the Galerkin method the governing equations are solved to obtain the natural frequencies. The drawn results emphasis the effects of geometry and small-scale parameter on the natural frequencies of nanocone. Also the effect of elastic foundation modulus on the resonance frequencies of the nanocones are studied and some conclusions are outlined.",

keywords = "Elastic foundation, Free vibration, Nanocone, Nonlocal continuum theory, Winkler and Pasternak models",

author = "Fotouhi, \{M. M.\} and Firouz-Abadi, \{R. D.\} and H. Haddadpour",

year = "2013",

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language = "English",

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AU - Fotouhi, M. M.

AU - Firouz-Abadi, R. D.

AU - Haddadpour, H.

PY - 2013

Y1 - 2013

N2 - The effect of elastic foundation on the free vibration characteristics of embedded nanocones is investigated in this paper. The nanocone is modeled as a thin shell and the nonlocal elasticity theory is used to derive the governing equations of motion. Also the elastic medium is simulated using Winkler and Pasternak foundation models. Based on the modal analysis technique and applying the Galerkin method the governing equations are solved to obtain the natural frequencies. The drawn results emphasis the effects of geometry and small-scale parameter on the natural frequencies of nanocone. Also the effect of elastic foundation modulus on the resonance frequencies of the nanocones are studied and some conclusions are outlined.

AB - The effect of elastic foundation on the free vibration characteristics of embedded nanocones is investigated in this paper. The nanocone is modeled as a thin shell and the nonlocal elasticity theory is used to derive the governing equations of motion. Also the elastic medium is simulated using Winkler and Pasternak foundation models. Based on the modal analysis technique and applying the Galerkin method the governing equations are solved to obtain the natural frequencies. The drawn results emphasis the effects of geometry and small-scale parameter on the natural frequencies of nanocone. Also the effect of elastic foundation modulus on the resonance frequencies of the nanocones are studied and some conclusions are outlined.

KW - Elastic foundation

KW - Free vibration

KW - Nanocone

KW - Nonlocal continuum theory

KW - Winkler and Pasternak models

UR - https://www.scopus.com/pages/publications/84872901189

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DO - 10.1016/j.ijengsci.2012.12.003

M3 - Article

AN - SCOPUS:84872901189

SN - 0020-7225

VL - 64

SP - 14

EP - 22

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

ER -

Free vibration analysis of nanocones embedded in an elastic medium using a nonlocal continuum shell model

Abstract

Keywords

ASJC Scopus subject areas

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