Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method

Aleyna Yazıcıoğlu; Ömer Civalek

Article Details

Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method

Authors:

Aleyna Yazıcıoğlu | Ömer Civalek

Publisher:

Akdeniz University

Main Topics:

Granular Mechanics

Journal:

International Journal of Engineering and Applied Sciences Vol.17 Issue 2, pp.73-80

Document Type:

Article

Publication Date:

5/2025

Document Language:

English

Document ID (Org No.):

2001355754

pISSN:

1309-0267

Keywords:

Abstract:

 This paper provides a thorough analysis of the axial vibration behavior of nanoring rods based on nonlocal elasticity theory, highlighting its relevance to nanoscale systems. The equation governing the axial vibration of nanoscale rods under nonlocal effects is formulated. By applying appropriate transformations to this equation, the frequency equation is derived. Additionally, a nonlocal finite element formulation for the rod is developed using the weighted residual method.

 This paper provides a thorough analysis of the axial vibration behavior of nanoring rods based on nonlocal elasticity theory, highlighting its relevance to nanoscale systems. The equation governing the axial vibration of nanoscale rods under nonlocal effects is formulated. By applying appropriate transformations to this equation, the frequency equation is derived. Additionally, a nonlocal finite element formulation for the rod is developed using the weighted residual method.

 This paper provides a thorough analysis of the axial vibration behavior of nanoring rods based on nonlocal elasticity theory, highlighting its relevance to nanoscale systems. The equation governing the axial vibration of nanoscale rods under nonlocal effects is formulated. By applying appropriate transformations to this equation, the frequency equation is derived. Additionally, a nonlocal finite element formulation for the rod is developed using the weighted residual method.

 This paper provides a thorough analysis of the axial vibration behavior of nanoring rods based on nonlocal elasticity theory, highlighting its relevance to nanoscale systems. The equation governing the axial vibration of nanoscale rods under nonlocal effects is formulated. By applying appropriate transformations to this equation, the frequency equation is derived. Additionally, a nonlocal finite element formulation for the rod is developed using the weighted residual method.

Article Details

Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method

Authors:

Aleyna Yazıcıoğlu | Ömer Civalek

Publisher:

Akdeniz University

Main Topics:

Granular Mechanics

Journal:

International Journal of Engineering and Applied Sciences Vol.17 Issue 2, pp.73-80

Document Type:

Article

Publication Date:

5/2025

Document Language:

English

Document ID (Org No.):

2001355754

pISSN:

1309-0267

Axial vibration

Nanoring rod

Nonlocal elasticity

Finite element method

Issues

Article Details

Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method

Authors: Aleyna Yazıcıoğlu | Ömer Civalek

Publisher: Akdeniz University

Main Topics: Granular Mechanics

Journal: International Journal of Engineering and Applied Sciences Vol.17 Issue 2, pp.73-80

Document Type: Article

Publication Date: 5/2025

Document Language: English

Document ID (Org No.): 2001355754

pISSN: 1309-0267

Axial vibration

Nanoring rod

Nonlocal elasticity

Finite element method

Issues

Authors:

Aleyna Yazıcıoğlu | Ömer Civalek

Publisher:

Akdeniz University

Main Topics:

Granular Mechanics

Journal:

International Journal of Engineering and Applied Sciences Vol.17 Issue 2, pp.73-80

Document Type:

Article

Publication Date:

5/2025

Document Language:

English

Document ID (Org No.):

2001355754

pISSN:

1309-0267