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Further Development of the Tail-Equivalent Linearization Method for Nonlinear Stochastic Dynamics
16 references·0 citing·31 second hop
Further Development of the Tail-Equivalent Linearization Method for Nonlinear Stochastic Dynamics (2014)Further Development of the Tail-Equivalen…Random Vibrations: Analysis of Structural and Mechanical Systems (2011)Random Vibrations: Analysis o…A critical appraisal of reliability estimation procedures for high dimensions (2004)A critical appraisal of relia…Important sampling in high dimensions (2002)Important sampling in high di…Reliability analysis—a review and some perspectives (2001)Reliability analysis—a review…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Structural Reliability Methods (1996)Structural Reliability MethodsA benchmark study on importance sampling techniques in structural reliability (1993)A benchmark study on importan…Random Vibration of Mechanical and Structural Systems (1992)Random Vibration of Mechanica…Random vibration and statistical linearization (1990)Random vibration and statisti…Importance sampling in structural systems (1989)Importance sampling in struct…Improvement Of Second‐Order Reliability Estimates by Importance Sampling (1988)Improvement Of Second‐Order R…Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic averaging: An appr…Introduction to Random Vibrations (1983)Introduction to Random Vibrat…Monte Carlo solution of structural dynamics (1972)Monte Carlo solution of struc…Digital simulation of random processes and its applications (1972)Digital simulation of random …Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Probabilistic Structural Dyna…Exact and Invariant Second-Moment Code Format (1974)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Metamodel-based importance sampling for structural reliability analysis (2013)The Logic of Scientific Discovery (2013)Structural Reliability Analysis and Prediction (2017)Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)Simulation of Multivariate and Multidimensional Random Processes (1971)Neumann Expansion for Stochastic Finite Element Analysis (1988)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Probability Concepts in Engineering Planning and Design (1975)Structural reliability under combined random load sequences (1978)Global sensitivity analysis using polynomial chaos expansions (2007)Aleatory or epistemic? Does it matter? (2008)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Stochastic Dynamics of Marine Structures (2012)Simulation of Ergodic Multivariate Stochastic Processes (1996)Nonlinear Vibration Models for Extremes and Fatigue (1988)The dynamics of speculative behaviour (1992)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)An Introduction to Computational Stochastic PDEs (2014)A new adaptive importance sampling scheme for reliability calculations (1999)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Applications of Hilbert–Huang transform to non‐stationary financial time series analysis (2003)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The principle of preservation of probability and the generalized density evolution equation (2006)
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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1996Structural Reliability Methods2,192 cited
  • 1972Digital simulation of random processes and its applications1,663 cited
  • 1990Random vibration and statistical linearization995 cited
  • 2001Reliability analysis—a review and some perspectives775 cited
  • 1972Monte Carlo solution of structural dynamics629 cited
  • 1967Probabilistic Structural Dynamics: Advanced Theory and Applications629 cited
  • 1989Importance sampling in structural systems604 cited
  • 1986Stochastic averaging: An approximate method of solving random vibration problems577 cited
  • 1992Random Vibration of Mechanical and Structural Systems493 cited
  • 2004A critical appraisal of reliability estimation procedures for high dimensions476 cited
  • 2011Random Vibrations: Analysis of Structural and Mechanical Systems473 cited
  • 1983Introduction to Random Vibrations433 cited
  • 1988Improvement Of Second‐Order Reliability Estimates by Importance Sampling382 cited
  • 1993A benchmark study on importance sampling techniques in structural reliability380 cited

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2002
Important sampling in high dimensions
375 cited

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