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Green's functions for Kirchhoff plates of irregular shape

Engineering Analysis with Boundary Elements, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Plate Bending Kirchhoff Element Based on Assumed Strain Functions

2020
To investigate static and free vibration for thin plate bending structures, a four-node quadrilateral finite element is proposed in this research paper. This element has been formulated by using both the assumptions of thin plates theory (Kirchhoff plate theory) and strain approach.
Boussem, F, Belounar, L
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Normal form of the key function of the generalized Kirchhoff equation

Russian Mathematical Surveys, 1983
Translation from Usp. Mat. Nauk 38, No.3(231), 177-178 (Russian) (1983; Zbl 0526.58038).
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The resolution function in linearized born and Kirchhoff inversion

2005
We consider the problem of constructing the depth image of a heterogeneous model (f.ex. the subsurface) based on surface measurements. Due to a limited-aperture and band limited signals, the output from a general inversion scheme will be a distorted or blurred image.
Leiv-J. Gelius, Isabelle Lecomte
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Influence Functions of a Point Force for Multiply Connected Kirchhoff Plates

Mathematics and Mechanics of Solids, 2004
A modified version of the classical method of functional equations is developed for accurate evaluation of the response to a transverse point concentrated force for multiply connected Kirchhoff plates. The resolving potentials are built, in this version, with the aid of Green functions of the biharmonic equation for regions of standard shape.
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Bifurcation results for a Kirchhoff type problem involving sign-changing weight functions

Nonlinear Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Xian, Qin, Baoxia, Chen, Siyu
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On size-dependent dynamic behavior of rotating functionally graded Kirchhoff microplates

International Journal of Mechanical Sciences, 2019
Abstract A size-dependent model for free vibration and transient response of rotating functionally graded (FG) microplates is established on the basis of the Kirchhoff plate theory and modified couple stress theory. A microplate made of a two-constituent material with a continuous through-thickness power-law variation is considered.
Jianshi Fang   +2 more
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Analogies between Kirchhoff plates and functionally graded Saint-Venant beams under torsion

Continuum Mechanics and Thermodynamics, 2014
Exact solutions of elastic Kirchhoff plates are available only for special geometries, loadings and kinematic boundary constraints. An effective solution procedure, based on an analogy between functionally graded orthotropic Saint-Venant beams under torsion and inhomogeneous isotropic Kirchhoff plates, with no kinematic boundary constraints, is ...
BARRETTA, RAFFAELE, Luciano R.
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Properties of the Constrained Minimizers for Kirchhoff Type Energy Functionals With Inhomogeneous Interactions

Mathematical Methods in the Applied Sciences
ABSTRACTWe consider the properties of the constrained minimizers for a class of Kirchhoff type energy functionals with inhomogeneous interactions . When , it is known that there exists , where is the unique positive radial solution of , such that the minimizer exists if and only of .
Helin Guo, Haolin Liu, Lingling Zhao
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Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning

European Journal of Mechanics, A/Solids, 2021
Xiaoying Zhuang   +2 more
exaly  

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