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An advanced theory of moderately thick plate vibrations [PDF]

Journal of Sound and Vibration, 2013
In thick plate vibration theory, the governing equations are stated with a system of three partial differential equations of motion with total deflection, which consists of bending deflection and shear contribution, and angles of rotation as fundamental variables.
Tomić, Marko, Senjanović, Ivo, Vladimir, Nikola   +2 more
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Engineering Large Deflection Theory for Thick Plates

Journal of Engineering Mechanics, 1989
A refined theory for the bending of plates with moderately large deflections is proposed. The presented theory is an extension of the technical theory of plates for small strains. The plate theory presented by Voyiadjis and Baluch incorporates rotatory inertia.
George Z. Voyiadjis, Shahram Sarkani
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The refined theory of piezoelectric thick plates

2009 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA 2009), 2009
Based on linear piezoelasticity theory, without requirement of any ad hoc assumptions concerning the deformation or the stress state, various two-dimensional equations have been deduced systematically and directly from the three-dimensional theory of thick rectangular plates by using the general solution of transversely isotropic piezoelasticity and ...
null Yang Gao, null Bao-sheng Zhao, null Si-peng Xu   +2 more
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Vibration Of Thick Skew Plates Based On Mindlin Shear Deformation Plate Theory

Journal of Sound and Vibration, 1993
The free flexural vibration of thick skew plates is considered. The total energy functional is derived based on the first order shear deformation plate theory by Mindlin. The newly developed pb-2 Rayleigh-Ritz method is applied to obtain the solution.
Liew, K. M., Xiang, Y., Kitipornchai, S., Wang, C. M.   +3 more
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On the Elastodynamic Theory of Thick Circular Plates

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1980
AbstractConsidering elastodynamic deformation of circular plates, this paper presents a generalization of the method of initial functions in cylindrical coordinates. The governing equations of the theory are derived from the three dimensional elastodynamic equations. The method is applied to the free vibration of the clamped circular plate.
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A Refined Theory of Anisotropic Thick Plates

1990
For the deformation of anisotropic plates with arbitrary thickness, a refined theory is proposed to derive approximate equations with any desired accuracy, and general two-dimensional equations in the n-th order approximation are presented. The approximate equations presented are solved for a graphite/epoxy composite plate subjected to a sinusoidally ...
Satoru IGARASHI, Katsuhisa SHIBUKAWA
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Theory for plates of medium thickness

Journal of Applied Mathematics and Mechanics, 1962
Abstract A theory of elastic Isotropic plates of constant thickness is constructed without assumptions about the nature of the deformations of the transverse linear elements. The stresses σ xx , σ xy , σ yy are expanded in a series of Legendre polynomials P k ( 2z h ) .
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Bending Solutions of Sectorial Thick Plates Based on Reissner Plate Theory

Mechanics Based Design of Structures and Machines, 2005
This paper is concerned with the bending of sectorial and annular sectorial thick plates with the radial edges simply supported. The Reissner plate theory has been adopted to cater for the effect of transverse shear deformation. In solving the aforementioned plate problems, we derive the relationships between the bending solutions of the Reissner plate
Wang, C.M., Nazmul, I.M., Matsumoto, T., Wang, Q.   +3 more
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Progressive failure analysis of thick imperfect composite plates using nonlinear plate theory

International Journal of Non-Linear Mechanics, 2020
Abstract The work presented here alludes to the application of a semi-analytical method for ultimate strength predictions of square composite plates with geometric imperfections that are subjected to uniaxial in-plane compressive load. The Ritz method is developed with the assumptions of large deflections and higher-order shear deformation theory ...
S.A.M. Ghannadpour, N. Abdollahzadeh
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Solutions of a twelfth order thick plate theory

Acta Mechanica, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, P. S., Archer, R. R.
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