The long-span cable nets are widely used in practical engineering. For the purpose of providing a basis for anti-wind and anti-earthquake design of this structure, the dynamic characteristics of elliptic hyperbolic paraboloid cable nets were analyzed. Taking the temperature and geometric nonlinearity into consideration, the nonlinear vibration equation of elliptic hyperbolic paraboloid cable nets was derived by assuming the support system as a continuum membra. By the Galerkin method, the partial differential equation was transformed into ordinary differential equation which was solved with L-P method and KBM method. The effects of temperature, amplitude, and exterior excitation on the nonlinear vibration were discussed with the calculation example. The results indicated that the natural frequency of cable nets decreased with the increases of temperature, while the frequency increased when amplitude increased. In addition, its nonlinear vibration frequency was higher than linear vibration frequency. The steady state vibration of cable nets under harmonic load was simple harmonic vibration with the same period of exterior excitation.
