Symmetrical bending of thin circular elastic plates on equally spaced point supports

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...

On Bending of 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. ...

Exact energy spectrum for models with equally spaced point potentials

We describe a non-perturbative method for computing the energy band structures of one-dimensional models with general point potentials sitting at equally spaced sites. This is done thanks to a Bethe ansatz approach and the method is applicable even when periodicity is broken, that is when Bloch's theorem is not valid any more. We derive the general equation governing the energy spectrum and ill...