Abstract
In evaluating dynamic reliability of structures with consideration of uncertainties included in structural properties and excitation characteristics, the gradients of the conditional failure probability with respect to the uncertain parameters are needed. In this paper, in order to avoid the difficulties in obtaining the gradients, a procedure of extensive FORM com- bined with Response Surface Approach is proposed, in which the performance function is approximated by a second order response surface and solved by FORM. The influences of parameter uncertainties are discussed and it has been proved through some examples that the proposed method has advantages in both computational efficiency and precision.