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Stability of annular orthotropic plates

Journal of Applied Mechanics and Technical Physics, 2000
It is assumed that the orthotropy of the plate material is rectangular or polar, and a uniformly distributed, external compressive or tensile load is applied to the internal boundary of the plate. Stability is analyzed by the Ritz method with the use of Alfutov-Balabukh and Bryan energy criteria. Diagrams are presented of the critical external load and
Pustovoĭ, N. V.   +2 more
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Bending of bimodulus annular plates

Computers & Structures, 1987
Bending analysis of axisymmetric annular circular plates of bimodulus material subjected to uniform lateral load is dealt with in this paper. The finite element method is used to formulate the governing equations of equilibrium. An iterative technique is used to find the position of the neutral surface.
Srinivasan, R. S., Ramachandra, L. S.
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The stability of annular sandwich plates

Soviet Applied Mechanics, 1983
Using the broken-line hypothesis the stability differential equation is written in terms of a deflection function \(\chi\), the derivatives of which specify the lateral displacement w. The solution is sought in the form \(\chi(r,\Theta)=\chi_ 0(r)\cdot \cos n\Theta,\) where \(\chi_ 0(r)\) is expanded in a power series.
Grigolyuk, Eh. I., Magerramova, L. A.
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Finite stretching of an annular plate

International Journal of Solids and Structures, 1971
The problem of the finite stretching of an annular plate which is bonded to a rigid inclusion at its inner edge is considered. The material is assumed to be isotropic and incompressible with a Mooney-type constitutive law. It is shown that the inclusion of the effect of the transverse normal strain leads to a rapid variation in thickness which is ...
V. Biricikoglu, Arturs Kalnins
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Yield Point Load of an Annular Plate

Journal of Applied Mechanics, 1959
Abstract The yield point load is computed for an annular plate, simply supported at its inner and outer edges and subjected to a uniform load. A previously published solution is shown to be incorrect.
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Buckling of annular orthotropic plates

Proceedings Third Russian-Korean International Symposium on Science and Technology. KORUS'99 (Cat. No.99EX362), 2003
Results of theoretical research of stability of annular orthotropic plates are submitted. Orthotropy of a material is supposed to be either rectangular or polar. Stretching or compressing loads are applied on an internal contour. Influence of the size of a plate on the value of the critical load and the buckling mode is investigated.
N.V. Pustovoy   +2 more
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Vibration of cracked annular plates

Engineering Fracture Mechanics, 1994
Abstract A surface peripheral crack of an annular plate is modelled as a local rotational flexibility for vibration analysis. Computed values of the local stiffness are very close to those computed by using strain energy arguments and data for beam-like structures.
N.K. Anifantis   +2 more
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Postbuckling of Orthotropic Annular Plates

Journal of Applied Mechanics, 1973
The postbuckling behavior of orthotropic annular plates due to in-plane compressive loads applied at the outer edge is considered. The governing differential equations are derived by extending von Karman’s nonlinear plate theory to include orthotropic material properties. It is then assumed that the deformations are restricted to axisymmetric forms and
E. B. Uthgenannt, R. S. Brand
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Axisymmetric Banding of Annular Plates

Journal of Applied Mechanics, 1978
The potential energy formulation of von Karman plate theory and the Ritz method are utilized to obtain solutions for deformation and stress in a variable thickness annular plate with built-in edges. The plate is loaded by prescribing an axisymmetric offset of the edges; the external axial force is calculated by Castigliano’s theorem.
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Asymmetric bending of annular plates

International Journal of Solids and Structures, 1980
Abstract An isotropic, variable thickness, annular plate with clamped edges is bent by prescribing a rotation of the inner edge about a diameter, with the outer edge held fixed. The potential energy formulation of von Karman plate theory and the Ritz method are employed to calculate solutions for deformation and stress.
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