Summary
In continuation to [1], this paper gives a further step towards an improved reliability analysis of a dynamical system attractor, based on its dynamic integrity. Although the ideas are applicable to a broader class of problems within dynamical systems theory, they will be illustrated to discuss the load-carrying capacity of an imperfection-sensitive structure liable to buckle. The analysis uses the Monte Carlo method to assess the probability that the Global Integrity Measure is equal or larger than a prescribed value, considering the probability density functions of both the applied load and the imperfection parameter, provided the former is not larger than the buckling strength, Hence, a reliability measure can be made available to help engineers deciding whether a particular design is reliable, given it is safe, contributing to the improvement of current design practices
