The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review

Y Kumar - Journal of Vibration and Control, 2018 - journals.sagepub.com
The Rayleigh–Ritz method is a classical method that has been widely used to investigate
dynamic, static and buckling behavior, ie, the natural frequencies, mode shapes, moments …

A unified solution for vibration analysis of laminated functionally graded shallow shells reinforced by graphene with general boundary conditions

Z Qin, S Zhao, X Pang, B Safaei, F Chu - International Journal of …, 2020 - Elsevier
In this paper, a unified method is developed to analyze free vibrations of laminated
functionally graded shallow shells reinforced by graphene platelets (GPLs) under arbitrary …

[HTML][HTML] A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates

A Mahi, A Tounsi - Applied mathematical modelling, 2015 - Elsevier
A new hyperbolic shear deformation theory applicable to bending and free vibration analysis
of isotropic, functionally graded, sandwich and laminated composite plates is presented …

Identification of material properties of composite materials using nondestructive vibrational evaluation approaches: A review

JH Tam, ZC Ong, Z Ismail, BC Ang… - Mechanics of Advanced …, 2017 - Taylor & Francis
Destructive identification approaches are no longer in favor since the advent of
nondestructive evaluation approaches, as they are accurate, rapid, and cheap. Researchers …

Free vibrations of cylindrical shells with arbitrary boundary conditions: a comparison study

Z Qin, F Chu, J Zu - International Journal of Mechanical Sciences, 2017 - Elsevier
In this paper, the free vibration characteristics of cylindrical shells with arbitrary boundary
conditions are investigated. The Sanders shell theory is used to calculate the elastic strain …

Vibration evolution of laminated composite conical shell with arbitrary foundation in hygrothermal environment: experimental and theoretical investigation

X Song, C Wang, S Wang, Y Zhang - Mechanical Systems and Signal …, 2023 - Elsevier
This contribution addresses on a systematic experimental and theoretical investigations on
the vibration of laminated composite conical shell with hygrothermal environment and …

[HTML][HTML] Free vibration of Euler and Timoshenko functionally graded beams by Rayleigh–Ritz method

KK Pradhan, S Chakraverty - Composites Part B: Engineering, 2013 - Elsevier
Present investigation is concerned with the free vibration analysis of functionally graded
material (FGM) beams subjected to different sets of boundary conditions. The analysis is …

A general approach for free vibration analysis of spinning joined conical–cylindrical shells with arbitrary boundary conditions

Q Chai, YQ Wang - Thin-Walled Structures, 2021 - Elsevier
This paper presents a general approach for free vibration analysis of spinning local elastic-
foundation supported joined conical–cylindrical shells (JCCSs) with arbitrary boundary …

[КНИГА][B] Vibration of plates

S Chakraverty - 2008 - taylorfrancis.com
Plates are integral parts of most engineering structures and their vibration analysis is
required for safe design. Vibration of Plates provides a comprehensive, self-contained …

[HTML][HTML] A four variable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient

A Benachour, HD Tahar, HA Atmane, A Tounsi… - Composites Part B …, 2011 - Elsevier
The novelty of this paper is the use of four variable refined plate theory for free vibration
analysis of plates made of functionally graded materials with an arbitrary gradient. Unlike …