Abstract
In recent years, folded plate analysis are mostly based on finite element method, finite segment method and finite strip method, and they are useful for solving the problems of folded plate structure. The object of the present investigation is to develop least square-point matching technique to analyse continuous folded triangular plates, Fig.1, based on elasticity theory. In this method, compatibility and equilibrium conditions are strictly satisfied in the considered region, and boundary conditions for continuous ridge and side of plate are satisfied at selected points. For the solution of a structure subjected to uniform load, the procedure is to derive first all equations of stress and displacement components in the bending of plates and two dimensional problems, and then to expand these equations in trigonometrical series. The derivation of these equations is described in section 2. The terms higher than N will be omitted, and the problem is then to find eight kinds of coefficients by least square point matching technique. This is done by satisfying the boundary conditions at selected points of ridge that are obtained by function of point matching. These procedures are described in sections 4. In section 4, considerations of convergence and error of boundary condition are discussed for solving the problems of folded triangular plate. The boundary conditions for continuous ridge and examples using this method are presented in section 5.
