State-of-the-art of vibration analysis of small-sized structures by using nonclassical continuum theories of elasticity

AA Nuhu, B Safaei - Archives of Computational Methods in Engineering, 2022‏ - Springer
Recently, small-sized structures including micro/nanobeams, micro/nanoplates,
micro/nanotubes, micro/nanowires, etc. have received great attention among researchers in …

Contribution of nonlocal integral elasticity to modified strain gradient theory

SA Faghidian - The European Physical Journal Plus, 2021‏ - epjplus.epj.org
The nonlocal integral elasticity and the modified strain gradient theory are consistently
integrated in the framework of the nonlocal modified gradient theory of elasticity. The …

Analytical and meshless numerical approaches to unified gradient elasticity theory

KK Żur, SA Faghidian - Engineering Analysis with Boundary Elements, 2021‏ - Elsevier
The unified gradient elasticity theory with applications to nano-mechanics of torsion is
examined. The Reissner stationary variational principle is invoked to detect the differential …

Application of shifted Chebyshev polynomial-based Rayleigh–Ritz method and Navier's technique for vibration analysis of a functionally graded porous beam …

SK Jena, S Chakraverty, M Malikan - Engineering with Computers, 2021‏ - Springer
The present study is dealt with the applicability of shifted Chebyshev polynomial-based
Rayleigh–Ritz method and Navier's technique on free vibration of functionally graded (FG) …

Flexure mechanics of nonlocal modified gradient nano-beams

SA Faghidian - Journal of Computational Design and …, 2021‏ - academic.oup.com
Two frameworks of the nonlocal integral elasticity and the modified strain gradient theory are
consistently merged to conceive the nonlocal modified gradient theory. The established …

Application of Haar wavelet discretization and differential quadrature methods for free vibration of functionally graded micro-beam with porosity using modified couple …

SK Jena, S Chakraverty, V Mahesh… - … Analysis with Boundary …, 2022‏ - Elsevier
The present investigation is aimed at the implementation of Haar Wavelet Discretization
Method (HWDM) and Differential Quadrature Method (DQM) on the free vibration of a …

Hygro-thermo-mechanical vibration of two vertically aligned single-walled boron nitride nanotubes conveying fluid

Y Zarabimanesh, P Roodgar Saffari… - Journal of Vibration …, 2022‏ - journals.sagepub.com
The nonlocal strain gradient theory, when combined with the first-order shear deformation
theory, provides many capabilities in size-dependent structures. The aim of the present …

Static bending of perforated nanobeams including surface energy and microstructure effects

AA Abdelrahman, NA Mohamed, MA Eltaher - Engineering with Computers, 2022‏ - Springer
This article aims to present comprehensive model and analytical solution to investigate the
static bending behavior of regularly squared cutout perforated thin/thick nanobeams …

Vibro-acoustics of functionally graded porous beams subjected to thermo-mechanical loads

LBM Chinnapandi, J Pitchaimani… - Steel and Composite …, 2022‏ - dbpia.co.kr
This manuscript work presents a comprehensive continuum model capable to investigate
the effect of porosity on vibro-acoustic behaviour of functionally graded (FG) beams resting …

Hygro-magnetic vibration of the single-walled carbon nanotube with nonlinear temperature distribution based on a modified beam theory and nonlocal strain gradient …

SK Jena, S Chakraverty, M Malikan… - … Journal of Applied …, 2020‏ - World Scientific
In this study, vibration analysis of single-walled carbon nanotube (SWCNT) has been carried
out by using a refined beam theory, namely one variable shear deformation beam theory …