Abstract:

To overcome shortcomings of large amount of computational efforts and long computation time existing in Monte Carlo simulation for system reliability analysis，an improved method was proposed in the light of curve fitting. Reliability problem was reformed by depending on an optimal parameter, and the failure probability was treated as a function of this parameter by exploiting the regularity of it and fitting the reliability function by LevenbergMarquardt method. A tenbar truss structure numerical example was given to prove the feasibility of proposed method. Result indicates that the proposed method has high computational accuracy with less computational efforts and  computation time，providing an effective way to analyze reliability of large complex structures.

Key words: solid mechanics, reliability, Monte Carlo simulation, optimized extrapolation, LevenbergMarquardt method