A numerical solution for geometrically nonlinear bending plates problems subjected to local-loads

Geometrically Nonlinear Analysis of Plate Bending Problems

In the previous six chapters, we have discussed the application of T-elements to various linear problems. This approach can also be used to solve both geometrically [8-10,12] and materially [1,18] nonlinear problems. The former are treated in this chapter and the latter are addressed in Chapter 8. The first application of T-elements to nonlinear plate bending problems was by Qin [8], who presen...

The application of special matrix product to dierential quadrature solution of geometrically nonlinear bending of orthotropic rectangular plates

The Hadamard and SJT product of matrices are two types of special matrix product. The latter was ®rst de®ned by Chen. In this study, they are applied to the di€erential quadrature (DQ) solution of geometrically nonlinear bending of isotropic and orthotropic rectangular plates. By using the Hadamard product, the nonlinear formulations are greatly simpli®ed, while the SJT product approach minimiz...

The application of special matrix product to differential quadrature solution of geometrically nonlinear bending of orthotropic rectangular plates

The Hadamard and SJT product of matrices are two types of special matrix product. The latter was first defined by Chen [1]. In this study, they are applied to the differential quadrature (DQ) solution of geometrically nonlinear bending of isotropic and orthotropic rectangular plates. By using the Hadamard product, the nonlinear formulations are greatly simplified, while the SJT product approach...

Dynamic Behavior Analysis of a Geometrically Nonlinear Plate Subjected to a Moving Load

In this paper, the nonlinear dynamical behavior of an isotropic rectangular plate, simply supported on all edges under influence of a moving mass and as well as an equivalent concentrated force is studied. The governing nonlinear coupled PDEs of motion are derived by energy method using Hamilton’s principle based on the large deflection theory in conjuncture with the von-Karman strain-displacem...

Buckling Behavior of Long Anisotropic Plates Subjected to Combined Loads