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 …
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
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 …
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
An analytical solution has been developed developed in this research for electro-
mechanical flexural response of smart laminated piezoelectric composite rectangular plates …
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 …
stochastic responses for rectangular thin plate. Firstly, the exact solutions of free vibration for …
Isogeometric collocation for Kirchhoff–Love plates and shells
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 …
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 …
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
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 …
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
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 …
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 …
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 …
model has been developed for bending and vibration analysis of thick plates. The proposed …