Large deformation vibration of a planar rectangular prestressed cable-net structure based on principle of minimum potential energy

Based on the engineering background of Zhongguancun Culture Building of a 30 m × 70 m planar cable-net, the vibration equation of a prestressed rectangular cable-net is deduced by the principle of minimum potential energy considering the influence of geometric nonlinearity of large deformation, and the solution to the equation is given. The method to calculate the frequencies of linear vibration, large deformation vibration and small vibration after large deformation is studied. The first 3 frequencies of an example are calculated and analyzed. The vibration equation and the solving method proposed seem to be simple and feasible.