| Title |
A Study on the Shape-Finding Analysis of Pneumatic Structures |
| Abstract |
Described in this paper is a method for obtaining the pneumatic structure shape under uniform tension in all directions. Assuming that the forces of a triangular membrane element can be expressed in terms of generalized plane stresses, nonlinear effect of deformation is considered in the formulation of geometrical stiffness matrix. The proposed prosedure here used to modified load incremental method. In this method, the current force residuals between the forces from approximate equation of equilibrium and the exact equilibrium equation are add to the next increment. The proposed algorithm is applied to the case of structure bounded by square frame(10mx10m) and loaded by internal pressure. This model can be obtained the exact solutions of the nonlinear partial differential equation. The result show a close agreement with exact solution. And also this method applied to cylindrical pneumatic structures, which have two long fixed edges and two short free edges, and inflated round pneumatic membrane and the convergence is satisfactory. |