Abstract:With the continued development of reliability theory, solving the structural reliability under implicit performance functions has become a challenge. Currently, the non-intrusive stochastic finite el ement method is an important approach to address this issue. This paper develops a non-intrusive sto chastic finite element method based on the stochastic response surface method. Using MATLAB and ANSYS for coupled simulation, a computational program for this method was developed. The pro gram performed deterministic mechanical analysis through ANSYS, and it could automatically invoke ANSYS in MATLAB to continuously solve output response results under different parameter configu rations. It could read the results to calculate the unknown coefficients of the random polynomials. This method obtained structural output results through finite element software without the need to analyze the performance functions, providing an effective approach for reliability calculation in complex structures. The effectiveness of this method in structural reliability analysis was verified through three ex amples. The results showed that both the stochastic response surface method and the non-intrusive sto chastic finite element method based on the stochastic response surface method exhibited small errors when calculating structural failure probability and had significantly higher computational efficiency compared to the Monte Carlo method. It demonstrates clear advantages in solving failure probability without explicit performance functions.
