Structural reliability theory allows structural engineers to take the random nature of structural parameters into account in the analysis and design of structures. The aim of this research is to develop a logical framework for system reliability analysis of truss structures and simultaneous size and geometry optimization of truss structures subjected to structural system reliability constraint....

The theory of structural reliability is widely applied in many fields, such as architectural design, and mechanical engineering. In this paper, the resident and the load of a structure are defined as uncertain variables and the reliability index is defined as as the uncertain measure of the event that the resident is larger than the load. Furthermore, the reliability of series and parallel stru...

Abstract This study considers structural optimization under a reliability constraint, in which the input distribution is only partially known. Specifically, when it known that expected value vector and variance-covariance matrix of belong to given convex set, required failure probability structure should be no greater than specified target for any realization distribution. We demonstrate this d...

Weighted Uniform Simulation (WUS) is recently presented as one of the efficient simulation methods to obtain structural failure probability and most probable point (MPP). This method requires initial assumptions of failure probability to obtain results. Besides, it has the problem of variation in results when it conducted with few samples. In the present study three strategies have been present...

This paper presents a mixed perturbation Monte-Carlo method for static and reliability analysis of structural systems with a mixture of random and interval parameters/loadings. Using a combination of the Taylor expansion, matrix perturbation theory and random interval moment method, the expressions for the mean value and standard deviation of random interval structural responses are developed. ...