Symplectic elasticity: theory and applications

CW Lim, XS Xu - 2010 - asmedigitalcollection.asme.org
Many of the early works on symplectic elasticity were published in Chinese and as a result,
the early works have been unavailable and unknown to researchers worldwide. It is the …

[HTML][HTML] Analytical solutions of refined plate theory for bending, buckling and vibration analyses of thick plates

HT Thai, DH Choi - Applied Mathematical Modelling, 2013 - Elsevier
Analytical solutions for bending, buckling, and vibration analyses of thick rectangular plates
with various boundary conditions are presented using two variable refined plate theory. The …

Analytical solution of the electro-mechanical flexural coupling between piezoelectric actuators and flexible-spring boundary structure in smart composite plates

S Gohari, F Mozafari, N Moslemi, S Mouloodi… - Archives of Civil and …, 2021 - Springer
An analytical solution has been developed developed in this research for electro-
mechanical flexural response of smart laminated piezoelectric composite rectangular plates …

Benchmark solutions of stationary random vibration for rectangular thin plate based on discrete analytical method

G Chen, J Zhou, D Yang - Probabilistic Engineering Mechanics, 2017 - Elsevier
This paper aims to accurately and efficiently achieve the benchmark solutions of stationary
stochastic responses for rectangular thin plate. Firstly, the exact solutions of free vibration for …

Isogeometric collocation for Kirchhoff–Love plates and shells

F Maurin, F Greco, L Coox, D Vandepitte… - Computer Methods in …, 2018 - Elsevier
With the emergence of isogeometric analysis (IGA), the Galerkin rotation-free discretization
of Kirchhoff–Love shells is facilitated, enabling more efficient thin shell structural analysis …

Free vibration of doubly-curved panels reinforced by carbon nanotubes: New analytic solutions under non-Lévy-type boundary conditions

Z Hu, J Xu, Z Wang, R Li - Applied Mathematical Modelling, 2025 - Elsevier
Existing analytic solutions for the free vibration of functionally graded carbon nanotube
reinforced doubly-curved panels primarily address the cases with two parallel simply …

A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates

H Hebali, A Bakora, A Tounsi, A Kaci - Steel and Composite Structures …, 2016 - dbpia.co.kr
This work presents a bending, buckling, and vibration analysis of functionally graded plates
by employing a novel higher-order shear deformation theory (HSDT). This theory has only …

[HTML][HTML] Hamiltonian system-based analytic modeling of the free rectangular thin plates' free vibration

R Li, B Wang, G Li, B Tian - Applied Mathematical Modelling, 2016 - Elsevier
Analytic free vibration solutions of free rectangular thin plates with or without an elastic
foundation are obtained by using an up-to-date Hamiltonian system-based symplectic …

Unified solution of some problems of rectangular plates with four free edges based on symplectic superposition method

X Su, E Bai, G Hai - Engineering Computations, 2023 - emerald.com
Purpose A unified framework for solving the bending, buckling and vibration problems of
rectangular thin plates (RTPs) with four free edges (FFFF), including isotropic RTPs …

A high-performance parametrized mixed finite element model for bending and vibration analyses of thick plates

M Lezgy-Nazargah - Acta Mechanica, 2016 - Springer
Based on the parametrized mixed variational principle, a high-performance finite element
model has been developed for bending and vibration analysis of thick plates. The proposed …