Nonlinear symmetric bending of circular elastic plates

Nonlinear Buckling of Circular Nano Plates on Elastic Foundation

The following article investigates nonlinear symmetric buckling of moderately thick circular Nano plates with an orthotropic property under uniform radial compressive in-plane mechanical load. Taking into account Eringen nonlocal elasticity theory, principle of virtual work, first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained ...

Analytical and Numerical Modelling of the Axisymmetric Bending of Circular Sandwich Plates with the Nonlinear Elastic Core Material

Herein paper compares the analytical model with the FEM based numerical model of the axisymmetric bending of circular sandwich plates. Also, the paper describes equations of the circular symmetrical sandwich plates bending with isotropic face sheets and the nonlinear elastic core material. The method of constructing an analytical solution of nonlinear differential equations has been described. ...

On Bending of Elastic Plates*

Symmetrical Bending of Thin Circular Elastic Plates on Equally Spaced Point Supports

The determination of bending moments, tWlstmg moments, and shearing forces in a thin circular elastic plate subjected to symmetrical bending is a problem which is often encountered in the design and analysis of structural elements or systems. This study deals.,with the solution of this problem for a thin circular elastic plate supported at points equally spaced along a concentric support c ircl...

Nonlinear bending models for beams and plates.

A new nonlinear model for large deflections of a beam is proposed. It comprises the Euler-Bernoulli boundary value problem for the deflection and a nonlinear integral condition. When bending does not alter the beam length, this condition guarantees that the deflected beam has the original length and fixes the horizontal displacement of the free end. The numerical results are in good agreement w...