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 …

[HTML][HTML] Jacobi–Ritz method for free vibration analysis of uniform and stepped circular cylindrical shells with arbitrary boundary conditions: A unified formulation

H Li, F Pang, X Miao, Y Li - Computers & mathematics with applications, 2019 - Elsevier
A semi analytical approach is employed to analyze free vibration characteristics of uniform
and stepped circular cylindrical shells subject to arbitrary boundary conditions. The …

Dynamic stiffness formulation and vibration analysis of coupled conical-ribbed cylindrical-conical shell structure with general boundary condition

C Zhang, G Jin, Z Wang, Y Sun - Ocean Engineering, 2021 - Elsevier
In this paper, the dynamic stiffness method (DSM) is presented to investigate the vibration
characterizes of coupled conical-ribbed cylindrical-conical shell structure with general …

Vibration of bolted composite cylindrical-cylindrical flanged shells considering contact characteristics

H Liu, W Sun, X Liu, H Ma, D Du, H Li - International Journal of Mechanical …, 2024 - Elsevier
A semi-analytical model for bolted composite cylindrical-cylindrical flanged shells (BCCFS)
considering the influence of the flange and the connection characteristics of the bolted …

Thermoelastic damping in cylindrical shells with arbitrary boundaries

L Zheng, Z Wu, S Wen, F Li - International Journal of Heat and Mass …, 2023 - Elsevier
An effective method is proposed for the dynamic modelling and thermoelastic damping
(TED) evaluation of the cylindrical shells with arbitrary boundaries. The arbitrary boundary …

Free-damped vibration tangential wave responses of FG-sandwich merged hemispherical-cylindrical shells under effects of artificial springs at merging and boundary …

E Sobhani, AR Masoodi, Ö Civalek… - Engineering Structures, 2023 - Elsevier
This article is formed to extract the frequencies with free-damped vibration characteristics of
the tangential waves related to the Functionally Graded (FG) sandwich Merged …

Application of flügge thin shell theory to the solution of free vibration behaviors for spherical-cylindrical-spherical shell: a unified formulation

F Pang, H Li, J Cui, Y Du, C Gao - European journal of mechanics-A/solids, 2019 - Elsevier
The main purpose of this paper is to provide a semi analytical method to analyze the free
vibration of spherical-cylindrical-spherical shell subject to arbitrary boundary conditions. The …

Vibration analysis of a coupled propulsion shaft-shell system based on the numerical and semi-analytical methods

J Liu, X Li, J Liu, Y Xu, G Pan - Journal of Sound and Vibration, 2025 - Elsevier
The bidirectional coupling characteristics of vibrations for the propulsion shaft and the
combined shell should be produced in the ocean conditions. Many previous studies always …

A nonlocal strain gradient shell model incorporating surface effects for vibration analysis of functionally graded cylindrical nanoshells

L Lu, L Zhu, X Guo, J Zhao, G Liu - Applied Mathematics and Mechanics, 2019 - Springer
In this paper, a novel size-dependent functionally graded (FG) cylindrical shell model is
developed based on the nonlocal strain gradient theory in conjunction with the Gurtin …

Theoretical and experimental investigations of vibration and damping behaviors of carbon fiber-reinforced composite thin shells with partial bolt looseness constraints

H Li, H Wu, J Zhao, H Sun, W Sun, Q Wang… - European Journal of …, 2023 - Elsevier
In this paper, the vibration and damping behaviors of fiber-reinforced composite thin shells
under partial bolt looseness boundary conditions are investigated both theoretically and …