Dynamic Nonlinearity and Nonlinear Single-Degree-of-Freedom Model for Cable Net Glazing

Abstract

The nonlinear vibration differential equation and vibration frequency of cable net glazing subject to earthquake loading was determined, and a geometrically nonlinear single-degree-of-freedom model for cable net glazing was developed. The nonlinear response spectra were established, and nonlinear time history analysis with finite element (FE) models was conducted to verify them. The nonlinear vibration differential equation and frequency obtained as described in this paper provide a basis for the nonlinear single-degree-of-freedom model for cable net glazing. The analytical formula for the nonlinear frequency with a simplified expression is highly precise and convenient for use in engineering practice. For larger-amplitude seismic waves, the difference between the linear and nonlinear response spectra are more obvious. As the natural period of cable net glazing is always less than 2 s, the linear response spectra in the Chinese code for the seismic design of buildings can be used in the seismic design of cable net glazing as an approximation rather than the nonlinear response spectra of cable net glazing.