STATIC ANALYTICAL METHOD OF SINGLE-LAYER PLANE CABLE NET STRUCTURES UNDER BIDIRECTIONAL UNIFORM LOAD: BASIC CONTROL EQUATIONS AND LOGARITHMIC SOLUTION

The single-layer plane cable nets, which are the structure of a glass curtain wall, are mainly designed to bear the uniformly distributed vertical dead load and horizontal wind load. The paper aimed at presenting a complete static analytic method considered the vertical dead load effects for such kind of single-layer plane cable net facade. Firstly, such two kinds of loads are simplified to a uniformly distributed load and the basic assumptions are provided to analyze the net in this series of studies. Then, based on the continuous theory, the cable net is equivalent to an orthotropic membrane. Secondly, the static equilibrium equations considering the effects of the vertical dead load and the deformation compatibility equations are established. The compatibility equations respectively describe the deformation on two directions, which referred to two kinds of mature single cable theories. Finally, according to the deformation characteristics of single horizontal cable and vertical cable, the assumed function of the deflection surface is constructed, which include undetermined coefficients. They are determined by the application of a Galerkin method, and the loop iterative correction method for solving them was given. Numerical examples show that the analytical method results in a good agreement with that of the finite element method. Particularly, the accuracy of the maximum deflection and its location are prominent. It is verified that the theoretical analysis method is correct and the engineering applicability of which is very strong.