Nonlinear resonance of axially moving graphene platelet-reinforced metal foam cylindrical shells with geometric imperfection

The present work pays attention to the primary resonance of axially moving graphene-reinforced mental foam (GPLRMF) cylindrical shells with geometric imperfection. Porosities and graphene platelets (GPLs) are uniformly or non-uniformly distributed along the thickness direction of the cylindrical she...

Full description

Saved in:
Bibliographic Details
Published in:Archives of Civil and Mechanical Engineering 2023-03, Vol.23 (2), p.97, Article 97
Main Authors: Ding, Hao-Xuan, She, Gui-Lin
Format: Article
Language:English
Subjects:
Behavior
Boundary conditions
Civil Engineering
Cylindrical shells
Defects
Engineering
Equations of motion
Equivalence
Frequency response
Graphene
Initial geometric imperfections
Mechanical Engineering
Metal foams
Modulus of elasticity
Nonlinear equations
Original Article
Perturbation methods
Platelets (materials)
Prestressing
R&D
Reinforced metals
Research & development
Resonance
Structural Materials
Velocity
Vibration analysis
Viscoelasticity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The present work pays attention to the primary resonance of axially moving graphene-reinforced mental foam (GPLRMF) cylindrical shells with geometric imperfection. Porosities and graphene platelets (GPLs) are uniformly or non-uniformly distributed along the thickness direction of the cylindrical shell. Considering the influences of initial geometric imperfection and axial velocity, the equivalent elastic modulus is calculated by Halpin–Tsai model, and the equivalent density and Poisson’s ratio are described by the mixture rule. Using the energy principle, the nonlinear equations of motion are derived. Considering two different boundary conditions, the nonlinear primary resonance response is obtained using the modified Lindstedt Poincare (MLP) method. The results indicate that the MLP method can effectively overcome the limitation of traditional perturbation method. In the end, we study the effects of the GPLs distribution patterns, GPLs weight fraction, the porosity coefficient, axial velocity, initial geometric imperfection, and the prestressing force on the resonance problems. It can be found that the presence of initial geometric imperfection can alter the frequency response curve from the characteristics of the hard spring to the soft spring.
ISSN:2083-3318
1644-9665
2083-3318
DOI:10.1007/s43452-023-00634-6