Reliability analysis of structures with interval uncertainties under stationary stochastic excitations

[1]  S. Rice.  Mathematical analysis of random noise , 1944 .

[2]  A. Davenport.  The spectrum of horizontal gustiness near the ground in high winds , 1961 .

[3]  A G Davenport,et al.  NOTE ON THE DISTRIBUTION OF THE LARGEST VALUE OF A RANDOM FUNCTION WITH APPLICATION TO GUST LOADING. , 1964 .

[4]  E. Vanmarcke.  Properties of Spectral Moments with Applications to Random Vibration , 1972 .

[5]  E. Vanmarcke.  On the Distribution of the First-Passage Time for Normal Stationary Random Processes , 1975 .

[6]  K. McKee.  Book Reviews : Wind Effects On Structures: E. Simiu and R.H. Scanlan John Wiley & Sons, New York, New York 1980, $33.50 , 1981 .

[7]  Masanobu Shinozuka,et al.  Neumann Expansion for Stochastic Finite Element Analysis , 1988 .

[8]  R. Ghanem,et al.  Stochastic Finite Elements: A Spectral Approach , 1990 .

[9]  Yakov Ben-Haim,et al.  A non-probabilistic concept of reliability , 1994 .

[10]  I. Elishakoff.  Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling , 1995 .

[11]  S. Sarkani,et al.  Stochastic analysis of structural and mechanical vibrations , 1996 .

[12]  R. Grandhi,et al.  Efficient estimation of structural reliability for problems with uncertain intervals , 2002 .

[13]  G. Falsone,et al.  A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters , 2002 .

[14]  David Moens,et al.  A survey of non-probabilistic uncertainty treatment in finite element analysis , 2005 .

[15]  Giovanni Falsone,et al.  An exact solution for the static and dynamic analysis of FE discretized uncertain structures , 2007 .

[16]  A. Kiureghian.  Analysis of structural reliability under parameter uncertainties , 2008 .

[17]  I. Elishakoff,et al.  Probabilistic interval reliability of structural systems , 2008 .

[18]  Phani R. Adduri,et al.  System reliability analysis for mixed uncertain variables , 2009 .

[19]  Jianbing Chen,et al.  Stochastic Dynamics of Structures , 2009 .

[20]  R. Baker Kearfott,et al.  Introduction to Interval Analysis , 2009 .

[21]  A. Kiureghian,et al.  Aleatory or epistemic? Does it matter? , 2009 .

[22]  Peter Wriggers,et al.  The analyses of dynamic response and reliability of fuzzy-random truss under stationary stochastic excitation , 2010 .

[23]  Makoto Ohsaki,et al.  Optimization And Anti-Optimization Of Structures Under Uncertainty , 2010 .

[24]  R. Mullen,et al.  Interval Monte Carlo methods for structural reliability , 2010 .

[25]  Zhiping Qiu,et al.  The reliability analysis of probabilistic and interval hybrid structural system , 2010 .

[26]  Terje Aven,et al.  Interpretations of alternative uncertainty representations in a reliability and risk analysis context , 2011, Reliab. Eng. Syst. Saf..

[27]  G. Muscolino,et al.  Interval analysis of structures with uncertain-but-bounded axial stiffness , 2011 .

[28]  Hao Zhang,et al.  Interval importance sampling method for finite element-based structural reliability assessment under parameter uncertainties , 2012 .

[29]  A. Sofi,et al.  Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis , 2012 .

[30]  Jorge E. Hurtado,et al.  The encounter of interval and probabilistic approaches to structural reliability at the design point , 2012 .

[31]  Helmut J. Pradlwarter,et al.  Reliability assessment in structural dynamics , 2013 .

[32]  Jorge E. Hurtado,et al.  Assessment of reliability intervals under input distributions with uncertain parameters , 2013 .

[33]  A. Sofi,et al.  Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters , 2013 .

[34]  M. Beer,et al.  Structural reliability analysis on the basis of small samples: An interval quasi-Monte Carlo method , 2013 .

[35]  Kok-Kwang Phoon,et al.  Reliability analysis with scarce information: Comparing alternative approaches in a geotechnical engineering context , 2013 .

[36]  C. Jiang,et al.  Structural reliability analysis using non-probabilistic convex model , 2013 .

[37]  C. Jiang,et al.  Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems , 2014 .

[38]  Wei Gao,et al.  Dynamic analysis and reliability assessment of structures with uncertain-but-bounded parameters under stochastic process excitations , 2014, Reliab. Eng. Syst. Saf..

[39]  Xu Han,et al.  A response-surface-based structural reliability analysis method by using non-probability convex model , 2014 .

[40]  Giuseppe Muscolino,et al.  Explicit sensitivities of the response of discretized structures under stationary random processes , 2014 .

[41]  Roberta Santoro,et al.  Explicit frequency response functions of discretized structures with uncertain parameters , 2014 .

[42]  Rafi L. Muhanna,et al.  Reliability Assessment with Fuzzy Random Variables Using Interval Monte Carlo Simulation , 2014, Comput. Aided Civ. Infrastructure Eng..

[43]  Jorge E. Hurtado,et al.  An efficient method for the estimation of structural reliability intervals with random sets, dependence modeling and uncertain inputs , 2014 .

[44]  Chan Ghee Koh,et al.  First-Order Reliability Method for Structural Reliability Analysis in the Presence of Random and Interval Variables , 2015 .

[45]  Giuseppe Muscolino,et al.  Explicit reliability sensitivities of linear structures with interval uncertainties under stationary stochastic excitation , 2015 .

[46]  Xiaoping Du,et al.  A Random Field Approach to Reliability Analysis With Random and Interval Variables , 2015 .