Based on the failure response curve method

and in order to fully utilize sample pionts in the iterative process

a sample points reused failure response curve (SPRFRC) method for a sample points reused failure response curve (SPRFRC) method for structural reliability analysis was developed

which regarded structural reliability index as convergence condition

selected sample points near the failure boundary from all sample points after convergence

then constructed failure curve response function and finally calculated the structural reliability by the Monte Carlo sampling method.Some examples show that the response function avoids simulation of performance function response surface

reduces the model dimension;and with introduction of the cross-term response function with rotation functionality

the function enable to approximate the failure curve

and effectively improve the reliability calculation accuracy.