A Proposed Method for Reliability Analysis in Higher Dimension

In this paper, a new method is proposed to evaluate the reliability of stochastic mechanical systems. This technique is based on the combination of the probabilistic transformation methods for multiple random variables (MPTM) and the finite element method (FEM). The transformation technique evaluates the Probability Density Function (PDF) of the system response by the use of the Jacobian of the inverse mechanical function. This approach has the advantage of giving directly the whole density function of the response-in a closed form-, which is very helpful in reliability analysis.