Updating real-time reliability of instrumented systems with stochastic simulation

In this research, a new method is proposed to update real-time reliability based on data recorded by instruments and sensors installed on a system. The method is founded on Bayesian analysis and subset simulation and is capable of estimating the functional relationship between the real-time failure probability and the monitoring value. It is shown that as long as the monitoring data can be reasonably deduced into a single index, this relationship can be obtained; moreover, it can be obtained prior to the monitoring process. Three examples of civil engineering systems are used to demonstrate the new method. This new method may be applied to safety monitoring of in-construction civil systems and monitoring of existing civil systems.

[1]  Alfredo Ang H.-S.,et al.  Probability concepts in engineering planning and design, vol i : basic principles , 1979 .

[2]  J. Beck,et al.  First excursion probabilities for linear systems by very efficient importance sampling , 2001 .

[3]  Torgeir Moan,et al.  Methods of reliability model updating through additional events , 1990 .

[4]  Sankaran Mahadevan,et al.  Reliability-based reassessment of corrosion fatigue life , 2001 .

[5]  Lawrence L. Kupper,et al.  Probability, statistics, and decision for civil engineers , 1970 .

[6]  J. M. Duncan,et al.  Nonlinear Analysis of Stress and Strain in Soils , 1970 .

[7]  Costas Papadimitriou,et al.  Updating robust reliability using structural test data , 2001 .

[8]  D. Wood Soil Behaviour and Critical State Soil Mechanics , 1991 .

[9]  C Y Ou,et al.  USE OF THE MODIFIED HYPERBOLIC MODEL IN EXCAVATION ANALYSIS UNDER UNDRAINED CONDITION , 1997 .

[10]  Palle Thoft-Christensen,et al.  Application of Structural Systems Reliability Theory , 1986 .

[11]  R. Jardine Some Observations on the Kinematic Nature of Soil Stiffness , 1992 .

[12]  J. Ching,et al.  Transitional Markov Chain Monte Carlo Method for Bayesian Model Updating, Model Class Selection, and Model Averaging , 2007 .

[13]  James L. Beck,et al.  Reliability Estimation for Dynamical Systems Subject to Stochastic Excitation using Subset Simulation with Splitting , 2005 .

[14]  James L. Beck,et al.  Real-time Reliability Estimation for Serviceability Limit States in Structures with Uncertain Dynamic Excitation and Incomplete Output Data , 2007 .

[15]  Chang-Yu Ou,et al.  Shape of ground surface settlement profiles caused by excavation , 1998 .

[16]  Charles C. Ladd,et al.  New design procedure for stability of soft clays , 1974 .

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

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

[19]  James L. Beck,et al.  Hybrid Subset Simulation method for reliability estimation of dynamical systems subject to stochastic excitation , 2005 .

[20]  Chang-Yu Ou,et al.  Performance of Diaphragm Wall Constructed Using Top-Down Method , 1998 .

[21]  Bruce R. Ellingwood,et al.  Probabilistic methods for assessing current and future performance of concrete structures in nuclear power plants , 2002 .

[22]  Kok-Kwang Phoon,et al.  Reliability-Based Design of Foundations for Transmission Line Structures , 2006 .