Analysis of mechanical properties for membrane structure by the absolute nodal coordinate formulation

The absolute nodal coordinate formulation is suitable for the structural analysis with large rotation and deformation. The nodal coordinates include global displacement coordinates and slopes which are established in the global coordinate system without using any local coordinate, and the mass matrix is constant. In this paper, the static problem based on the absolute nodal coordinate formulation is proposed. The static equation and the equation of motion are built, and the static analysis and dynamics analysis for the membrane are carried out. In the static analysis, the Newton iteration method is used to solve the static equation. The maximum displacements of membrane are given under different positions and different sizes of force, and the calculated results agree well with the results of ANSYS. In the dynamic analysis, the motion of the membrane under impact is given, which states the vibration of the membrane clearly.