Use of two-parameter distributions for a joint assessment of the residual resource of building structures and engineering systems of buildings and structures

Abstract

The article describes the use of two-parameter distributions for assessing the residual resource of engineering systems and building structures of buildings and structures. To estimate the residual resource, the authors propose using the Weibull distribution, beta distribution, gamma distribution, and student distribution. Scopes of each distribution are shown. In particular cases, these distributions turn into normal or exponential distributions, which are widely used to estimate the residual resource of building structures and engineering systems of buildings and structures. The authors proposed an algorithm for using two-parameter distributions for a joint assessment of the residual resource of building structures and engineering systems of buildings and structures. In this algorithm, the authors present the parameters by which it is necessary to choose one or another two-parametric distribution. Further, the authors determined how to estimate the element failure rate in the presence and absence of data on the number of failures. The authors also proposed a procedure for assigning the final value of the residual resource when using several distributions at once. The advantages and disadvantages of using two-parameter distributions for a joint assessment of the residual resource of building structures and engineering systems of buildings and structures are given. The authors also proposed ways to further improve it.