Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory

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SARI, Ma'en ;AL-KOUZ, Wael G.;ATIEH, Anas .
Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 64, n.12, p. 772-782, november 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/buckling-analysis-of-axially-functionally-graded-tapered-nano-beams-resting-on-elastic-foundation-based-on-nonlocal-elasticity-theory/>. Date accessed: 02 dec. 2020. 
doi:http://dx.doi.org/10.5545/sv-jme.2018.5458.
Sari, M., Al-Kouz, W., & Atieh, A.
(2018).
Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory.
Strojniški vestnik - Journal of Mechanical Engineering, 64(12), 772-782.
doi:http://dx.doi.org/10.5545/sv-jme.2018.5458
@article{sv-jmesv-jme.2018.5458,
	author = {Ma'en  Sari and Wael G. Al-Kouz and Anas  Atieh},
	title = {Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {64},
	number = {12},
	year = {2018},
	keywords = {buckling, axially functionally graded beams; Eringen’s nonlocal elasticity theory; Chebyshev collocation method; eigenvalue problem},
	abstract = {The stability analysis of nonlocal axially functionally graded tapered beams has been investigated. Euler-Bernoulli beams at the micro- or nanoscale are modeled using Eringen’s nonlocal elasticity theory. The governing equations are derived using the differential constitutive relations, and the Chebyshev collocation method is utilized to convert the differential equation of motion into a set of algebraic equations. Next, the boundary conditions are applied, and the resulting eigenvalue problem is solved to obtain the critical buckling loads. The effects of the Winkler modulus parameter, the shear modulus parameter, the breadth taper ratio, the height taper ratio, the nonlocal scale coefficient, and the boundary conditions on the critical buckling loads have been studied.},
	issn = {0039-2480},	pages = {772-782},	doi = {10.5545/sv-jme.2018.5458},
	url = {https://www.sv-jme.eu/article/buckling-analysis-of-axially-functionally-graded-tapered-nano-beams-resting-on-elastic-foundation-based-on-nonlocal-elasticity-theory/}
}
Sari, M.,Al-Kouz, W.,Atieh, A.
2018 November 64. Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 64:12
%A Sari, Ma'en 
%A Al-Kouz, Wael G.
%A Atieh, Anas 
%D 2018
%T Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory
%B 2018
%9 buckling, axially functionally graded beams; Eringen’s nonlocal elasticity theory; Chebyshev collocation method; eigenvalue problem
%! Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory
%K buckling, axially functionally graded beams; Eringen’s nonlocal elasticity theory; Chebyshev collocation method; eigenvalue problem
%X The stability analysis of nonlocal axially functionally graded tapered beams has been investigated. Euler-Bernoulli beams at the micro- or nanoscale are modeled using Eringen’s nonlocal elasticity theory. The governing equations are derived using the differential constitutive relations, and the Chebyshev collocation method is utilized to convert the differential equation of motion into a set of algebraic equations. Next, the boundary conditions are applied, and the resulting eigenvalue problem is solved to obtain the critical buckling loads. The effects of the Winkler modulus parameter, the shear modulus parameter, the breadth taper ratio, the height taper ratio, the nonlocal scale coefficient, and the boundary conditions on the critical buckling loads have been studied.
%U https://www.sv-jme.eu/article/buckling-analysis-of-axially-functionally-graded-tapered-nano-beams-resting-on-elastic-foundation-based-on-nonlocal-elasticity-theory/
%0 Journal Article
%R 10.5545/sv-jme.2018.5458
%& 772
%P 11
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 64
%N 12
%@ 0039-2480
%8 2018-11-16
%7 2018-11-16
Sari, Ma'en, Wael G. Al-Kouz, & Anas  Atieh.
"Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory." Strojniški vestnik - Journal of Mechanical Engineering [Online], 64.12 (2018): 772-782. Web.  02 Dec. 2020
TY  - JOUR
AU  - Sari, Ma'en 
AU  - Al-Kouz, Wael G.
AU  - Atieh, Anas 
PY  - 2018
TI  - Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2018.5458
KW  - buckling, axially functionally graded beams; Eringen’s nonlocal elasticity theory; Chebyshev collocation method; eigenvalue problem
N2  - The stability analysis of nonlocal axially functionally graded tapered beams has been investigated. Euler-Bernoulli beams at the micro- or nanoscale are modeled using Eringen’s nonlocal elasticity theory. The governing equations are derived using the differential constitutive relations, and the Chebyshev collocation method is utilized to convert the differential equation of motion into a set of algebraic equations. Next, the boundary conditions are applied, and the resulting eigenvalue problem is solved to obtain the critical buckling loads. The effects of the Winkler modulus parameter, the shear modulus parameter, the breadth taper ratio, the height taper ratio, the nonlocal scale coefficient, and the boundary conditions on the critical buckling loads have been studied.
UR  - https://www.sv-jme.eu/article/buckling-analysis-of-axially-functionally-graded-tapered-nano-beams-resting-on-elastic-foundation-based-on-nonlocal-elasticity-theory/
@article{{sv-jme}{sv-jme.2018.5458},
	author = {Sari, M., Al-Kouz, W., Atieh, A.},
	title = {Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {64},
	number = {12},
	year = {2018},
	doi = {10.5545/sv-jme.2018.5458},
	url = {https://www.sv-jme.eu/article/buckling-analysis-of-axially-functionally-graded-tapered-nano-beams-resting-on-elastic-foundation-based-on-nonlocal-elasticity-theory/}
}
TY  - JOUR
AU  - Sari, Ma'en 
AU  - Al-Kouz, Wael G.
AU  - Atieh, Anas 
PY  - 2018/11/16
TI  - Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 64, No 12 (2018): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2018.5458
KW  - buckling, axially functionally graded beams, Eringen’s nonlocal elasticity theory, Chebyshev collocation method, eigenvalue problem
N2  - The stability analysis of nonlocal axially functionally graded tapered beams has been investigated. Euler-Bernoulli beams at the micro- or nanoscale are modeled using Eringen’s nonlocal elasticity theory. The governing equations are derived using the differential constitutive relations, and the Chebyshev collocation method is utilized to convert the differential equation of motion into a set of algebraic equations. Next, the boundary conditions are applied, and the resulting eigenvalue problem is solved to obtain the critical buckling loads. The effects of the Winkler modulus parameter, the shear modulus parameter, the breadth taper ratio, the height taper ratio, the nonlocal scale coefficient, and the boundary conditions on the critical buckling loads have been studied.
UR  - https://www.sv-jme.eu/article/buckling-analysis-of-axially-functionally-graded-tapered-nano-beams-resting-on-elastic-foundation-based-on-nonlocal-elasticity-theory/
Sari, Ma'en, Al-Kouz, Wael, AND Atieh, Anas.
"Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 64 Number 12 (16 November 2018)

Authors

Affiliations

  • German Jordanian University, Mechanical and Maintenance Engineering Department, Jordan 1
  • German Jordanian University, Mechatronics Engineering Department, Jordan 2
  • German Jordanian University, Industrial Engineering Department, Jordan 3

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 64(2018)12, 772-782

https://doi.org/10.5545/sv-jme.2018.5458

The stability analysis of nonlocal axially functionally graded tapered beams has been investigated. Euler-Bernoulli beams at the micro- or nanoscale are modeled using Eringen’s nonlocal elasticity theory. The governing equations are derived using the differential constitutive relations, and the Chebyshev collocation method is utilized to convert the differential equation of motion into a set of algebraic equations. Next, the boundary conditions are applied, and the resulting eigenvalue problem is solved to obtain the critical buckling loads. The effects of the Winkler modulus parameter, the shear modulus parameter, the breadth taper ratio, the height taper ratio, the nonlocal scale coefficient, and the boundary conditions on the critical buckling loads have been studied.

buckling, axially functionally graded beams; Eringen’s nonlocal elasticity theory; Chebyshev collocation method; eigenvalue problem