Assessment of fuzzy reliability over time of flat frame structures subject to dynamic loads

Abstract

This article presents an overview of the theoretical basis for assessing the reliability of structures according to the formula "Area ratio". From there, the authors used Maple software to solve the vibration differential equation for a 5-storey and 1-span flat frame structure subjected to cyclic dynamic loads with fuzzy input parameters. Apply the "Area Ratio" formula to evaluate the reliability over time of displacement and durability of the structure. At the same time, the influence of fuzzy dynamic load amplitude on the reliability of the structure is also investigated.

Keywords: Fuzzy numbers; fuzzy analysis; Fuzzy reliability of structures; structural fluctuations with fuzzy parameters.