The objective of the article involves presenting two approaches to structure reliability analysis. primary research method was First Order Reliability Method (FORM). Hasofer–Lind index ? in conjunction with transformation FORM adopted as measure reliability. first proposal combining NUMPRESS software non-commercial KRATA program. In this case, implicit form random variables function created. Li...

First order reliability method (FORM) for the computation of reliability index has been used widely because of its advantages of the efficiency and effectiveness as well simplicity for many years. There exists the phenomenon of convergent failure in the FORM in calculating the reliability index iteratively for some limit state functions, for which the essential factor is investigated using chao...

In this paper, we propose a reliability–mechanical study combination to treat the tube hydroforming process (THP). This process consists to apply an inner pressure combined to an axial displacement to manufacture the part. Our goal is the computation of the failure probability of the hydroforming process. Normally, this process is particularly complex and have to be solved numerically. There ar...

In this paper, a global limit state function for load-carrying capacity of structural system is firstly set up, in which the margin of safety is the difference between the limit base shear of structural system and the total horizontal seismic action. To probabilistically assess the global seismic capacity of structure, a new point estimation method (PEM) for analyzing statistical moments of com...

Reliability sensitivity analysis is used to find the rate of change in the probability of failure (or reliability) due to the changes in distribution parameters such as the means and standard deviations. Most of the existing reliability sensitivity analysis methods assume that all the probabilities and distribution parameters are precisely known. That is, every statistical parameter involved is...

Fatigue crack growth is a random process and various uncertainties affect the remaining useful life of engineering materials and structures. A general probabilistic life prediction methodology for accurate and efficient fatigue prognosis is proposed in this paper. The proposed methodology is based-on an inverse first-order reliability method (FORM) to evaluate the fatigue life at an arbitrary r...

This paper proposes a reliability-based design optimization (RBDO) approach that adopts the second-order reliability method (SORM) and complex-step (CS) derivative approximation. The failure probabilities are estimated using SORM, with Breitung’s formula technique established by Hohenbichler Rackwitz, their sensitivities analytically derived. CS approximation is used to perform sensitivity anal...

Monte Carlo simulation (MCS) is a useful tool for computation of probability of failure in reliability analysis. However, the large number of samples, often required for acceptable accuracy, makes it time-consuming. Importance sampling is a method on the basis of MCS which has been proposed to reduce the computational time of MCS. In this paper, a new adaptive importance sampling-based algorith...