Reliability Analysis on the Rectangular Orthotropic Membrane Under Concentrated Impact Load

Abstract

Abstract-This paper studies the computational method of the reliability of rectangular orthotropic membrane with four edges fixed under stochastic concentrated impact load. Based on the explicit equations of deflection response obtained in the previous work of our team, the reliability index and failure probability of the architectural membrane under concentrated impact load are obtained via the advanced first-order secondmoment method(AFOSM). In addition, an experiment on stochastic impact load was carried out. Based on the principle of least-squares method, the impact speed is fitted to a Gaussian distribution with specific mathematical characteristics. The data are processed by Monte-Carlo method and the results are compared with the theoretical results calculated by AFOSM. The variation rules and differences of the results obtained by two methods are analyzed. This study provides a theoretical reference for the vibration control of membrane structures and the research on the failure of membrane due to hail and other disasters.