The reciprocal method is applied to establish the generalized displacement solution for the elastic stability of thin rectangular plates, and the boundary values of it are also worked out.

The basic variables in the equations are three general displacements ψ x,ψ y and w as well as the core thickness h .

On the basis of the theory of the beam with two generalized displacements,the differential equation of the sheared simple beam with two generalized displacement is derived,considing uniformly distributed load,and general solution is goven.

Based on the conventional finite element, the Lagrange interpolation space for displacement at each node is extended to an arbitrary function expansion with any number of generalized displacements.

Based on the conventional finite element, by use of the finite cover technique in the numerical manifold method, the Lagrange interpolation space for displacement of each node is expanded to a function expansion with any number of generalized displacements, and formulae of generalized four-node iso-parametric finite element are given.

Application of generalized freedom method to the analysis of soil-st ructure interaction problems;

Based on application of three-dimensional shell elements to simulate thin-walled hydraulic structure,generalized displacement method was presented,and the related calculating formulas were derived,and an effective way to simulate the interaction of thin-walled structure and foundation soil reasonably was provided as well.

This paper makes efforts to solve the bending of axially symmetric circular plates with three generalized displacements on the elastic foundation by Bessel function.