Nonlinear forced vibrations of nonlocal strain gradient microbeams

Vahidi-Moghaddam, Amin; Rajaei, Arman; Yazdi, Ehsan Azadi; Eghtesad, Mohammad; Necsulescu, D.

doi:10.1080/15397734.2020.1860773

Cited by 13 publications

(3 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…He indicated that the subharmonic resonance disappears with an increase in the values of the thickness of the nanoplate and then the curves of the frequency response show the non-resonant properties. Vahidi-Moghaddam et al [523] studied the nonlinear behavior of forced vibration properties pertinent to the nonlocal strain-gradient beam model based on the homogeneous Euler-Bernoulli beam theory as well as C-C boundary conditions. The governing motion relations were established based on the mid-plane stretching as well as damping influences.…”

Section: Linear/nonlinear Forced Vibration Of Micro/nano-structuresmentioning

confidence: 99%

A review of size-dependent continuum mechanics models for micro- and nano-structures

Roudbari

Jorshari

et al. 2022

Thin-Walled Structures

120

View full text Add to dashboard Cite

Section: Linear/nonlinear Forced Vibration Of Micro/nano-structuresmentioning

confidence: 99%

A review of size-dependent continuum mechanics models for micro- and nano-structures

Roudbari

Jorshari

et al. 2022

Thin-Walled Structures

120

View full text Add to dashboard Cite

“…The interactional vdW forces between the proposed adjacent layers of the nano-plate were considered. Vahidi-Moghaddam et al [96] examined the nonlinear characteristics of forced vibration of the micro-/nano-beam using the nonlocal strain-gradient theory and the Euler-Bernoulli beam model for C-C boundary conditions. A reduced motion equation based on the central harmonic load as well as the Galerkin procedure was proposed.…”

Section: Vibration and Wave Propagationmentioning

confidence: 99%

A Review on the Mechanical Behavior of Size-Dependent Beams and Plates using the Nonlocal Strain-Gradient Model

Jorshari

Roudbari

2021

J. Basic Appl. Sci.

View full text Add to dashboard Cite

Nowadays, the mechanical characteristics of micro-/nano-structures in the various types of engineering disciplines are considered as remarkable criteria which may restrict the performance of small-scale structures in the reality for a certain application. This paper deals with a comprehensive review pertinent to using the nonlocal strain-gradient continuum mechanics model of size-dependent micro-/nano-beams/-plates. According to the non-classical features of materials, using size-dependent continuum mechanics theories is mandatory to investigate accurately the mechanical characteristics of the micro-/nano-structures. Recently, the number of researches related to the analysis of micro-/nano-structures with various geometry including beams as well as plates is considerable. In this regard, the mechanical behavior of these structures induced by different loadings such as vibration, wave propagation, and buckling behavior associated with the nonlocal strain-gradient continuum mechanics model is presented in this review work. Proposing the most valuable literature pertinent to the nonlocal strain-gradient continuum mechanics theory of micro-/nano-beams/plates is the main objective of this detailed survey.

show abstract

“…Bakhtiari et al . (Vahidi-Moghaddam et al ., 2020) analyzed the nonlinear forced vibrations of imperfect beams. Tadi Beni et al .…”

Section: Introductionmentioning

confidence: 99%

Size-dependent vibration analysis of the simply supported functionally graded porous material Al-Al₂O₃ rectangle microplates based on the modified couple stress theory with innovative consideration of neutral plane and scale distribution

Shi,

Tang,

et al. 2024

MMMS

View full text Add to dashboard Cite

PurposeHoping to uncover the physical principles of the vibration of the functionally graded material (FGM) microplate, by which the authors can make contributions to the design and manufacturing process in factories like micro-electro-mechanical system (MEMS) and other industries.Design/methodology/approachThe authors design a method by establishing a reasonable mathematical model of the physical microplate composed of a porous FGM.FindingsThe authors discover that the porosity, the distributions of porosity, the power law of the FGM and the length-to-thickness ratio all affect the natural frequency of the vibration of the microplate, but in different ways.Originality/valueOriginally proposed a model of the micro FGM plate considering the different distributions of the porosity and scale effect and analyzed the vibration frequency of it.

show abstract

Nonlinear forced vibrations of nonlocal strain gradient microbeams

Cited by 13 publications

References 45 publications

A review of size-dependent continuum mechanics models for micro- and nano-structures

A review of size-dependent continuum mechanics models for micro- and nano-structures

A Review on the Mechanical Behavior of Size-Dependent Beams and Plates using the Nonlocal Strain-Gradient Model

Size-dependent vibration analysis of the simply supported functionally graded porous material Al-Al₂O₃ rectangle microplates based on the modified couple stress theory with innovative consideration of neutral plane and scale distribution

Contact Info

Product

Resources

About

Nonlinear forced vibrations of nonlocal strain gradient microbeams

Cited by 13 publications

References 45 publications

A review of size-dependent continuum mechanics models for micro- and nano-structures

A review of size-dependent continuum mechanics models for micro- and nano-structures

A Review on the Mechanical Behavior of Size-Dependent Beams and Plates using the Nonlocal Strain-Gradient Model

Size-dependent vibration analysis of the simply supported functionally graded porous material Al-Al2O3 rectangle microplates based on the modified couple stress theory with innovative consideration of neutral plane and scale distribution

Contact Info

Product

Resources

About

Size-dependent vibration analysis of the simply supported functionally graded porous material Al-Al₂O₃ rectangle microplates based on the modified couple stress theory with innovative consideration of neutral plane and scale distribution