Journal ArticleDOI
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
R D Mindlin,R D Mindlin +1 more
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This article is published in Journal of Applied Mechanics-transactions of The Asme.The article was published on 1951-03-01. It has received 4554 citations till now. The article focuses on the topics: Elasticity (economics) & Rotary inertia.read more
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RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM plates
TL;DR: In this article, a meshless collocation (MC) and an element-free Galerkin (EFG) method, using the differential reproducing kernel (DRK) interpolation, are developed for the quasi-three-dimensional (3D) analysis of simply supported, multilayered composite and functionally graded material (FGM) plates.
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Vibration and buckling characteristics of composite cylindrical panels incorporating the effects of a higher order shear theory
TL;DR: In this article, an analytical study was conducted to determine the fundamental frequencies and critical buckling loads for laminated anisotropic circular cylindrical shell panels, including the effects of transverse shear deformation and rotary inertia, by using the Galerkin technique.
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Damage Detection of a Plate Using Migration Technique
Xiao Lin,Fuh-Gwo Yuan +1 more
TL;DR: In this article, the authors demonstrate a feasibility study of applying migration, which is widely used as an advanced data processing technique in geophysical exploration, to detect damage in a plate, and suggest a scheme that may build a real-time, in situ, and quantitative health monitoring system.
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Vibration of non-uniform thick plates on elastic foundation by differential quadrature method
Parviz Malekzadeh,Ghodrat Karami +1 more
TL;DR: In this article, a differential quadrature (DQ) solution for free vibration analysis of thick plates of continuously varying thickness on two-parameter elastic foundations is presented. And the accuracy, convergence and versatility of the DQ procedure for the type of plate problems, with complicated governing differential equations and boundary conditions are examined and verified.
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An approximate theory for high-frequency vibrations of elastic plates
P.C.Y. Lee,Z. Nikodem +1 more
TL;DR: In this paper, two-dimensional equations of successively higher orders of approximation for elastic, isotropic plates are deduced from the three-dimensional theory of elasticity by a series expansion in terms of simple thickness-modes for infinite plates.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
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LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars
TL;DR: In this article, the correction for shear of the differential equation for transverse vibrations of prismatic bars is discussed, where the correction is based on the correction of the transverse vibration of a prismatic bar.
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X. On the transverse vibrations of bars of uniform cross-section
TL;DR: In this article, the transverse vibrations of bars of uniform cross-section were studied and the authors proposed a method to measure the transversal vibrations of a bar of uniform shape.
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Über die Berücksichtigung der Schubverzerrung in ebenen Platten
TL;DR: Ausgehend von einem kinematischen Schema wird eine Methode entwickelt, welche es moglich macht, den Anschlus der technischen Festigkeitslehre an die mathematische Elastizitatstheorie zu bewerkstelligen.