Homogenized bending model of a periodic ribbed plate with inner resonance

Modal density and modal distribution in a ribbed plate

Plates reinforced by ribs or joists are common elements in lightweight building structures, as well as in other engineering structures. However, these structures are not well suited for the common simplified prediction models such as Statistical Energy Analysis (SEA) or the European calculation standard EN 12354. There are several reasons for this: One is that the overall vibration field is not...

Cloth Deformation Modelling Using a Plate Bending Model

Modelling and simulation of cloth deformation are of great importance in computer graphics and engineering applications. Although many models have been developed, problems still exist. No model so far can accurately describe both motion and deformation of cloth in a unified equation. And the equations for the in-plane deformation of cloth have yet to be developed. In this paper, a model for bot...

Analyzing Plane-plate Bending with EFGM

The moving least-square technique is used to construct shape function in the Element Free Galerkin Method at present, but sometimes the algebra equations system obtained from the moving least-square approximation is ill-conditioned and the shape function needs large quantity of inverse operation. In this paper, the weighted orthogonal functions are used as basis ones, the application in the cal...

A Pseudospectral Approach for Kirchhoff Plate Bending Problems with Uncertainties

This paper proposes a pseudospectral approach for the Kirchhoff plate bending problem with uncertainties. The Karhunen-Loève expansion is used to transform the original problem to a stochastic fourth-order PDE depending only on a finite number of random variables. For the latter problem, its exact solution is approximated by a gPC expansion, with the coefficients obtained by the sparse grid met...

Superconvergent eigenvalue bending plate element