2023
DOI: 10.3390/sym15101827
|View full text |Cite
|
Sign up to set email alerts
|

Dynamic Response of an Elastic Tube-like Nanostructure Embedded in a Vibrating Medium and under the Action of Moving Nano-Objects

Xiaoxia Ma,
Mojtaba Roshan,
Keivan Kiani
et al.

Abstract: In recent years, researchers have looked at how tube-like nanostructures respond to moving loads and masses. However, no one has explored the scenario of a nanostructure embedded in a vibrating medium used for moving nano-objects. In this study, the governing equations of the problem are methodically derived using the nonlocal elasticity of Eringen as well as the Rayleigh and Reddy–Bickford beam theories. Analytical and numerical solutions are developed for capturing the nonlocal dynamic deflection of the nano… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
7
0

Year Published

2023
2023
2024
2024

Publication Types

Select...
5
1

Relationship

0
6

Authors

Journals

citations
Cited by 7 publications
(7 citation statements)
references
References 111 publications
0
7
0
Order By: Relevance
“…Influence Lines 2.1. Derivation of Analytical Formula for the Theory of Bearing Reaction Influence Lines Different theories of beam structures can influence the derivation of analytical formulas [18][19][20]. The theory of influence lines is an essential concept in the field of structural mechanics for studying beam-type structures.…”
Section: Research On Bridge Integrity Assessment Methods Based On Bea...mentioning
confidence: 99%
“…Influence Lines 2.1. Derivation of Analytical Formula for the Theory of Bearing Reaction Influence Lines Different theories of beam structures can influence the derivation of analytical formulas [18][19][20]. The theory of influence lines is an essential concept in the field of structural mechanics for studying beam-type structures.…”
Section: Research On Bridge Integrity Assessment Methods Based On Bea...mentioning
confidence: 99%
“…These assumptions are commonly adopted in VSM studies for theoretical derivation. Nevertheless, the full interactions of the moving vehicle with the beam, the consideration of the shear deformation and rotary inertia of the beam, damping, and non-constant vehicle velocity are meaningful for follow-up works [30,31].…”
Section: Theoretical Formulations Of the Problemmentioning
confidence: 99%
“…The beam element where the vehicle axle acts is a new VBI element as it considers both the motion of the beam element and the vehicle. The equations of motion of the VBI element and normal beam element are provided in [22,30]. The vehicle axle distance d = (l 1 + l 2 ) must be larger than the length of the beam element L e to ensure each vehicle axle acts on different beam elements.…”
Section: Finite Element Simulation Of the Vbi System With Damagementioning
confidence: 99%
“…In the moving mass model illustrated in Figure 1c, the force applied on the ground is represented by Equation ( 1), considering the lateral inertial of the moving object. By disregarding the lateral inertia, Equation (1) simplifies to Equation ( 2), transforming the model into the moving load shown in Figure 1a [18,19].…”
Section: Vehicle Load Modelmentioning
confidence: 99%