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On the existence of weak solutions of anisotropic generally restrained plates
(Elsevier Science Inc, 2008-11)
This paper presents investigations of free vibration of anisotropic plates of different geometrical shapes and generally restrained boundaries. The existence and uniqueness of weak solutions of boundary value problems and ...
An exact series solution for the vibration analysis of cylindrical shells with arbitrary boundary conditions
(2013-03-01)
In this paper, an exact series solution for the vibration analysis of circular cylindrical shells with arbitrary boundary conditions is obtained, using the elastic equations based on Flügge's theory. Each of the three ...
An exact series solution for the vibration analysis of cylindrical shells with arbitrary boundary conditions
(2013-03-01)
In this paper, an exact series solution for the vibration analysis of circular cylindrical shells with arbitrary boundary conditions is obtained, using the elastic equations based on Flügge's theory. Each of the three ...
A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
(Elsevier, 2013-04)
A general variational formulation for the determination of natural frequencies and mode shapes of free vibration of laminated trapezoidal and triangular plates is presented in this work. The kinematics corresponding to the ...
A note on the use of variational methods for treatment of plate dynamics
(Sage Publications Ltd, 2011-06)
The present note deals with a methodology for development of compact analytical schemes, for the derivation of boundary value problems, which describe the statical and dynamical behaviours of plates with complicating ...
Natural frequencies of symmetrically laminated elliptical and circular plates
(Pergamon-Elsevier Science Ltd, 2008-07)
Elliptical and circular fibre reinforced composite plates are important structural elements in modern engineering structures. Vibration analysis of these elements are of interest to structural designers. The present paper ...
Transverse vibrations of circular annular plates with edges elastically restrained against rotation, used in acoustic underwater transducers
(Pergamon-Elsevier Science Ltd, 2002-04)
Simply supported or clamped boundary conditions are rather ideal situations difficult to satisfy from a physical viewpoint. This paper considers a more "moderate" restriction: the case of edges elastically restrained against ...
Free vibrations of a generally restrained rectangular plate with an internal line hinge
(Elsevier, 2012-04)
This paper deals with the study of free transverse vibrations of rectangular plates with an internal line hinge and elastically restrained boundaries. The equations of motion and its associated boundary and transition ...
A variational approach to free vibration analysis of shear deformable polygonal plates with variable thickness
(Elsevier, 2010-05)
This paper presents a simple and general variational approach for the study of the free vibration behaviour of polygonal isotropic plates with variable thickness. The Reissner-Mindlin plate theory is used to take into ...