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Forced Flexural Vibrations in a Thin Nonlocal Rectangular Plate with Kirchhoff’s Thin Plate Theory
International Journal of Structural Stability and Dynamics, 2020This study deals with a novel model of forced flexural vibrations in a transversely isotropic thermoelastic thin rectangular plate (TRP) due to time harmonic concentrated load. The mathematical model is prepared for the thin plate in a closed form with the application of Kirchhoff’s love plate theory for nonlocal generalized thermoelasticity with ...
Kaur, Iqbal +2 more
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Nonlinear Boundary Conditions in Kirchhoff-Love Plate Theory
Journal of Elasticity, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iosifescu, Oana +2 more
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Weak form quadrature elements for non-classical Kirchhoff plate theory
Annals of Solid and Structural Mechanics, 2020In this paper, two novel versions of weak form quadrature elements are developed for bending, free vibration and stability analysis of non-classical first strain gradient Kirchhoff plate theory. In the first version, Lagrange interpolations are assumed in orthogonal directions to approximate the field variables and in the second, mixed interpolations ...
Md. Ishaquddin, S. Gopalakrishnan
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2009
Chapter 5 develops the analysis of beams, which are structures presenting one dimension that is much larger than the other two. The present chapter focuses on another type of structural component, plates, which are defined as structures possessing one dimension far smaller than the other two.
Bauchau, Olivier, Craig, J.I.
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Chapter 5 develops the analysis of beams, which are structures presenting one dimension that is much larger than the other two. The present chapter focuses on another type of structural component, plates, which are defined as structures possessing one dimension far smaller than the other two.
Bauchau, Olivier, Craig, J.I.
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An intrinsic formulation of the Kirchhoff–Love theory of linearly elastic plates
Analysis and Applications, 2018We recast the displacement-traction problem of the Kirchhoff–Love theory of linearly elastic plates as a boundary value problem with the bending moments and stress resultants inside the middle section of the plate as the sole unknowns, instead of the displacement field in the classical formulation.
Ciarlet, Philippe G., Mardare, Cristinel
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Modified Kirchhoff's theory of plates including transverse shear deformations
Mechanics Research Communications, 2011Abstract A primary flexure problem defined by Kirchhoff theory of plates in bending is considered. Significance of auxiliary function introduced earlier in the in-plane displacements in resolving Poisson–Kirchhoff's boundary conditions paradox is reexamined with reference to reported sixth order shear deformation theories, in particular, Reissner's ...
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The polygonal spline thin plate element based on the discrete Kirchhoff theory
SCIENTIA SINICA Physica, Mechanica & Astronomica, 2020As we know, the polygonal elements can do well in simulation of the materials behavior and provide greater flexibility for the meshing of complex geometries. Besides, the hanging nodes can be handled as irregular nodes of polygonal element. Hence, the study on the polygonal element is a very useful and necessary part in the finite element method ...
LI ChongJun, CHEN Juan
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International Journal of Applied Mechanics, 2020
In this paper, an analytical solution for functionally graded sandwich plate adhesively bonded by viscoelastic interlayer is proposed to research its time-dependent behavior. The Kirchhoff plate theory is employed to describe the mechanical property of each gradient layer with elastic modulus defined as the arbitrary function through the thickness ...
Zhiyuan Yang +3 more
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In this paper, an analytical solution for functionally graded sandwich plate adhesively bonded by viscoelastic interlayer is proposed to research its time-dependent behavior. The Kirchhoff plate theory is employed to describe the mechanical property of each gradient layer with elastic modulus defined as the arbitrary function through the thickness ...
Zhiyuan Yang +3 more
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Formulation of Problems in the General Kirchhoff—Love Theory of Inhomogeneous Anisotropic Plates
Moscow University Mechanics Bulletin, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gorbachev, V. I., Kabanova, L. A.
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A modified Kirchhoff theory for boundary element bending analysis of thin plates
International Journal of Solids and Structures, 1994Abstract This paper introduces a modified Kirchhoff theory in which the transverse normal stress is considered within the analysis of thin plates in bending. A consistent boundary element approach based upon three degrees-of-freedom, which avoids the development of Kirchhoff forces at plate corners, is presented for plates with arbitrary shapes and ...
El-Zafrany, A., Debbih, M., Fadhil, S.
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