Authors
Ove Ditlevsen
Publication date
2006/11/24
Description
A tribute to Rüdiger: On the Rackwitz-Fiesler algorithm for the FBC load combination model corrected by SORM Page 1 A tribute to Rüdiger: On the Rackwitz-Fiesler algorithm for the FBC load combination model corrected by SORM Ove Ditlevsen Emeritus Technical University of Denmark The Rackwitz Symposium - a Milestone in Structural Reliability November 24, 2006 Kyoto 1997 Page 2 According to the Science Citation Index this paper from 1978 has been cited 253 times until October 2006 2 Page 3 3 Page 4 Mexico City 1991 Page 5 Boulder 1996 Page 6 τ1 ≥ τ2 ≥ ... ≥ τn with τi /τj an integer for all i ≤ j 6 Page 7 The total load X1(t,τ1)+...+Xn(t,τn) is a hierarchical random variable with n levels. Substituting Zn−1(t,τn−1)=Xn−1(t,τn−1)+Xn(t,τn−1) changes the total load to a hierarchical random variable X1(t,τ1)+...+Zn−1(t,τn−1) with n−1 levels, but with unchanged maximal value. FXn(t,τn−1) (x)=[FXn(t,τn) (x)] τn−1…