An efficient response surface method using moving least squares approximation for structural reliability analysis

[1]  A. M. Hasofer,et al.  Exact and Invariant Second-Moment Code Format , 1974 .

[2]  R. Rackwitz,et al.  Structural reliability under combined random load sequences , 1978 .

[3]  P. Lancaster,et al.  Surfaces generated by moving least squares methods , 1981 .

[4]  M. Shinozuka.  Basic Analysis of Structural Safety , 1983 .

[5]  A. Kiureghian,et al.  Second-Order Reliability Approximations , 1987 .

[6]  P. Bjerager.  Probability Integration by Directional Simulation , 1988 .

[7]  C. Bucher,et al.  A fast and efficient response surface approach for structural reliability problems , 1990 .

[8]  A. Kiureghian,et al.  Optimization algorithms for structural reliability , 1991 .

[9]  Bruce R. Ellingwood,et al.  A new look at the response surface approach for reliability analysis , 1993 .

[10]  John Dalsgaard Sørensen,et al.  Reliability-Based Optimization in Structural Engineering , 1994 .

[11]  Ramana V. Grandhi,et al.  General purpose procedure for reliability based structural optimization under parametric uncertainties , 1995 .

[12]  Henrik O. Madsen,et al.  Structural Reliability Methods , 1996 .

[13]  Sang Hyo Kim,et al.  Response surface method using vector projected sampling points , 1997 .

[14]  Kyung K. Choi,et al.  A NEW STUDY ON RELIABILITY-BASED DESIGN OPTIMIZATION , 1999 .

[15]  P. Das,et al.  Cumulative formation of response surface and its use in reliability analysis , 2000 .

[16]  N. Gayton,et al.  CQ2RS: a new statistical approach to the response surface method for reliability analysis , 2003 .

[17]  Dan M. Frangopol,et al.  Life-cycle reliability-based optimization of civil and aerospace structures , 2003 .

[18]  B. Youn,et al.  An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches , 2004 .

[19]  Kyung K. Choi,et al.  A new response surface methodology for reliability-based design optimization , 2004 .

[20]  I. Kaymaz,et al.  A response surface method based on weighted regression for structural reliability analysis , 2005 .

[21]  P. Villon,et al.  Moving least squares response surface approximation: Formulation and metal forming applications , 2005 .

[22]  Alain Sellier,et al.  Probabilistic approach to corrosion risk due to carbonation via an adaptive response surface method , 2006 .

[23]  Ramana V. Grandhi,et al.  Reliability-based Structural Design , 2006 .

[24]  Thomas Most,et al.  A comparison of approximate response functions in structural reliability analysis , 2008 .

[25]  Lei Jiang,et al.  A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization , 2008 .