Free vibration analysis of axially functionally graded tapered Bernoulli–Euler microbeams based on the modified couple stress theory

B Akgöz, Ö Civalek - Composite Structures, 2013 - Elsevier
In the present study, vibration response of non-homogenous and non-uniform microbeams
is investigated in conjunction with Bernoulli–Euler beam and modified couple stress theory …

Stability and dynamic behavior of porous FGM beam: influence of graded porosity, graphene platelets, and axially varying loads

R Priyanka, CM Twinkle, J Pitchaimani - Engineering with Computers, 2022 - Springer
This paper investigates the free vibration and buckling behaviors of functionally graded
graphene platelets (FG-GPLs) reinforced porous beam under axially variable loads. The …

The Kantorovich method applied to bending, buckling, vibration, and 3D stress analyses of plates: A literature review

P Singhatanadgid, T Singhanart - Mechanics of advanced …, 2019 - Taylor & Francis
This study presents a thorough review of the applications of the Kantorovich method to
several plate problems. The main objective of this review is to compile an up-to-date list of …

Vibration behavior of a rotating non-uniform FG microbeam based on the modified couple stress theory and GDQEM

N Shafiei, A Mousavi, M Ghadiri - Composite Structures, 2016 - Elsevier
In this paper, for the first time, the size dependent vibration behavior of a rotating non-
uniform functionally graded (FG) Timoshenko and Euler–Bernoulli microbeam based on the …

[HTML][HTML] Stability and vibration of shear deformable plates––first order and higher order analyses

I Shufrin, M Eisenberger - International journal of solids and structures, 2005 - Elsevier
This work presents the highly accurate numerical calculation of the natural frequencies and
buckling loads for thick elastic rectangular plates with various combinations of boundary …

[图书][B] Eigenvalues of inhomogeneous structures: unusual closed-form solutions

I Elishakoff - 2004 - taylorfrancis.com
The engineering community generally accepts that there exists only a small set of closed-
form solutions for simple cases of bars, beams, columns, and plates. Despite the advances …

[HTML][HTML] Static stability of higher order functionally graded beam under variable axial load

A Melaibari, RM Abo-bakr, SA Mohamed… - Alexandria Engineering …, 2020 - Elsevier
This article investigates effects of axial load distribution on buckling loads and their modes of
functionally graded (FG) beams including a shear effect for the first time, since all previous …

Buckling analysis of linearly tapered micro-columns based on strain gradient elasticity

B Akgöz, Ö mer Civalek - Structural Engineering and Mechanics, An Int'l …, 2013 - dbpia.co.kr
The buckling problem of linearly tapered micro-columns is investigated on the basis of
modified strain gradient elasticity theory. Bernoulli-Euler beam theory is used to model the …

Buckling analysis of nonuniform and axially graded columns with varying flexural rigidity

Y Huang, XF Li - Journal of engineering mechanics, 2011 - ascelibrary.org
In this paper, we present a novel analytic approach to solve the buckling instability of Euler-
Bernoulli columns with arbitrarily axial nonhomogeneity and/or varying cross section. For …

[图书][B] Stability of structures by finite element methods

Z Waszczyszyn, C Cichon, M Radwanska - 2013 - books.google.com
This book is the consequence of research undertaken by the authors in the field of advanced
problems of structural mechanics. Stability analysis of structures comes under this area …