A univariate decomposition method for higher- order reliability analysis and design optimization

[1]  K. Choi,et al.  A study of design velocity field computation for shape optimal design , 1994 .

[2]  Sankaran Mahadevan,et al.  A direct decoupling approach for efficient reliability-based design optimization , 2006 .

[3]  A. Olsson,et al.  On Latin hypercube sampling for structural reliability analysis , 2003 .

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

[5]  E. Polak,et al.  Reliability-based optimal design using sample average approximations , 2004 .

[6]  Kyung K. Choi,et al.  Numerical method for shape optimization using meshfree method , 2002 .

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

[8]  B. Ellingwood,et al.  Directional methods for structural reliability analysis , 2000 .

[9]  J. Tu,et al.  A Single-Loop Method for Reliability-Based Design Optimization , 2004, DAC 2004.

[10]  Sondipon Adhikari,et al.  Reliability Analysis Using Parabolic Failure Surface Approximation , 2004 .

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

[12]  Srinivas Kodiyalam,et al.  Some practical aspects of shape optimization and its influence on intermediate mesh refinement , 1993 .

[13]  A. Olsson,et al.  On Latin Hypercube Sampling for Stochastic Finite Element Analysis , 1999 .

[14]  G. Kharmanda,et al.  Efficient reliability-based design optimization using a hybrid space with application to finite element analysis , 2002 .

[15]  Ramana V. Grandhi,et al.  Structural reliability under non-Gaussian stochastic behavior , 2004 .

[16]  M. Stein.  Large sample properties of simulations using latin hypercube sampling , 1987 .

[17]  Kyung K. Choi,et al.  A Hybrid Method Using Response Surface and Pattern Search for Design Optimization , 2005, DAC 2005.

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

[19]  Yan Zhang,et al.  Two Improved Algorithms for Reliability Analysis , 1995 .

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

[21]  John E. Renaud,et al.  A Unilevel Method for Reliability Based Design Optimization , 2004 .

[22]  Ronald L. Wasserstein,et al.  Monte Carlo: Concepts, Algorithms, and Applications , 1997 .

[23]  Hong Li,et al.  An inverse reliability method and its application , 1998 .

[24]  Michael H. Allen,et al.  NUMERICAL PROBABILISTIC ANALYSIS OF STRUCTURAL/ACOUSTIC SYSTEMS* , 2001 .

[25]  M. Lemaire,et al.  Finite Element and Reliability: Combined Methods by Response Surface , 1998 .

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

[27]  P. Bjerager.  On computation methods for structural reliability analysis , 1990 .

[28]  Kyung K. Choi,et al.  Design Potential Method for Robust System Parameter Design , 2001 .

[29]  G. Schuëller,et al.  A critical appraisal of methods to determine failure probabilities , 1987 .

[30]  R. Rackwitz,et al.  Non-Normal Dependent Vectors in Structural Safety , 1981 .

[31]  R. Rackwitz,et al.  Quadratic Limit States in Structural Reliability , 1979 .

[32]  Kurt Maute,et al.  Reliability-based design optimization of aeroelastic structures , 2002 .

[33]  Alaa E. Mansour,et al.  Sensitivity factors and their application to marine structures , 1995 .

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

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

[36]  A. Kiureghian,et al.  Multiple design points in first and second-order reliability , 1998 .

[37]  J. Beck,et al.  Estimation of Small Failure Probabilities in High Dimensions by Subset Simulation , 2001 .

[38]  Harish Agarwal,et al.  Reliability Based Design Optimization: Formulations and Methodologies , 2004 .

[39]  R. Rackwitz,et al.  A benchmark study on importance sampling techniques in structural reliability , 1993 .

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

[41]  E. Polak.  Introduction to linear and nonlinear programming , 1973 .

[42]  J. Beck,et al.  Asymptotic Expansions for Reliability and Moments of Uncertain Systems , 1997 .

[43]  Y.-T. Wu,et al.  COMPUTATIONAL METHODS FOR EFFICIENT STRUCTURAL RELIABILITY AND RELIABILITY SENSITIVITY ANALYSIS , 1993 .

[44]  Joel P. Conte,et al.  Finite Element Response Sensitivity Analysis: a comparison between force-based and Displacement-Based Frame Element Models , 2005 .

[45]  Sharif Rahman,et al.  Structural reliability analysis by univariate decomposition and numerical integration , 2007 .

[46]  Alex H. Barbat,et al.  Monte Carlo techniques in computational stochastic mechanics , 1998 .

[47]  Xiaoping Du,et al.  Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design , 2004, DAC 2002.

[48]  Armen Der Kiureghian,et al.  Optimal design with probabilistic objective and constraints , 2006 .

[49]  S. Rahman,et al.  Decomposition methods for structural reliability analysis , 2005 .

[50]  S. Rahman,et al.  A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics , 2004 .

[51]  Isaac Elishakoff,et al.  Refined second-order reliability analysis☆ , 1994 .

[52]  R. Rackwitz,et al.  Methods of System Reliability in Multidimensional Spaces , 1997 .

[53]  C A Cornell,et al.  A PROBABILITY BASED STRUCTURAL CODE , 1969 .

[54]  Hans O. Madsen,et al.  A Comparison of Some Algorithms for Reliability Based Structural Optimization and Sensitivity Analysis , 1992 .

[55]  L. Faravelli.  Response‐Surface Approach for Reliability Analysis , 1989 .

[56]  Sankaran Mahadevan,et al.  Multiple Linearization Method for Nonlinear Reliability Analysis , 2001 .

[57]  R. Rackwitz,et al.  New light on first- and second-order reliability methods , 1987 .

[58]  Charles Elegbede,et al.  Structural reliability assessment based on particles swarm optimization , 2005 .

[59]  George N Frantziskonis.  Probamat-21st century : probabilities and materials ; tests, models, and applications for the 21st century , 1998 .

[60]  R. Rackwitz.  Reliability analysis—a review and some perspectives , 2001 .

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

[62]  L. Tvedt.  Distribution of quadratic forms in normal space-application to structural reliability , 1990 .

[63]  William J. Fitzgerald,et al.  Markov chain Monte Carlo methods with applications to signal processing , 2001, Signal Process..

[64]  Johannes O. Royset,et al.  Reliability-based optimal structural design by the decoupling approach , 2001, Reliab. Eng. Syst. Saf..

[65]  Ramana V. Grandhi,et al.  Higher-order failure probability calculation using nonlinear approximations , 1996 .

[66]  K. Breitung.  Asymptotic approximations for multinormal integrals , 1984 .

[67]  Shuodao Wang,et al.  A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity , 1980 .

[68]  Robert E. Melchers,et al.  Effect of response surface parameter variation on structural reliability estimates , 2001 .

[69]  Niels C. Lind,et al.  Methods of structural safety , 2006 .

[70]  ERRORS AND UNCERTAINTIES IN PROBABILISTIC ENGINEERING ANALYSIS , 2001 .

[71]  C. S. Manohar,et al.  An improved response surface method for the determination of failure probability and importance measures , 2004 .

[72]  Ren-Jye Yang,et al.  Experience with approximate reliability-based optimization methods , 2003 .

[73]  Raphael T. Haftka,et al.  Reliability, weight, and cost tradeoffs in the design of composite laminates for cryogenic environments , 2001 .

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

[75]  Harry R. Millwater,et al.  Probabilistic methods for design assessment of reliability with inspection , 2002 .

[76]  Sankaran Mahadevan,et al.  First-Order Approximation Methods in Reliability-Based Design Optimization , 2005 .

[77]  Ramana V. Grandhi,et al.  Adaption of fast Fourier transformations to estimate structural failure probability , 2003 .

[78]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[79]  Y.-T. Wu,et al.  Safety-Factor Based Approach for Probability-Based Design Optimization , 2001 .

[80]  A. Der Kiureghian,et al.  Structural reliability methods for seismic safety assessment: a review , 1996 .

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

[82]  T. Cruse,et al.  Advanced probabilistic structural analysis method for implicit performance functions , 1990 .

[83]  Y.-T. Wu,et al.  Progressive advanced-mean-value method for CDF and reliability analysis , 2002 .

[84]  R. Grandhi,et al.  Reliability-based structural optimization using improved two-point adaptive nonlinear approximations , 1998 .

[85]  S. Rahman,et al.  A univariate approximation at most probable point for higher-order reliability analysis , 2006 .

[86]  A. Boresi,et al.  Advanced Mechanics of Materials - 3rd edition , 1980 .

[87]  S. Rahman,et al.  A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics , 2004 .

[88]  Richard J. Beckman,et al.  A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code , 2000, Technometrics.

[89]  M. Rosenblatt.  Remarks on a Multivariate Transformation , 1952 .

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

[91]  Raphael T. Haftka,et al.  Deterministic and Reliability-Based Optimization of Composite Laminates for Cryogenic Environments , 2000 .

[92]  Robert E. Melchers,et al.  A fast approximate method for parameter sensitivity estimation in Monte Carlo structural reliability , 2004 .

[93]  Yoshisada Murotsu,et al.  Structural Reliability Analysis Using a Neural Network. , 1997 .

[94]  Ramana V. Grandhi,et al.  Adaptation of fast Fourier transformations to estimate the structural failure probability , 2000 .

[95]  Sankaran Mahadevan,et al.  Reliability analysis of automotive body-door subsystem , 2002, Reliab. Eng. Syst. Saf..

[96]  M. Hohenbichler,et al.  Improvement Of Second‐Order Reliability Estimates by Importance Sampling , 1988 .

[97]  Kyung K. Choi,et al.  Hybrid Analysis Method for Reliability-Based Design Optimization , 2003 .

[98]  Robert E. Melchers,et al.  General multi-dimensional probability integration by directional simulation , 1990 .

[99]  Palle Thoft-Christensen,et al.  Reliability and Optimization of Structural Systems , 2019 .