Abhinav S and Manohar CS, 2015, Bayesian parameter identification in dynamic state space models using modified measurement equations, International Journal of Non-linear Mechanics, 71, 89-103.
Adhikari S, 2005, Asymptotic distribution method for structural reliability analysis in high dimensions, Proceedings of the Royal Society A, 461, 3141-3158.
Alibrandi U and Der Kiureghian A, 2012, A gradient-free method for determining the design point in nonlinear stochastic dynamic analysis, Probabilistic Engineering Mechanics, 28, 2-10.
Ang AHS and Tang WH, 1984, Probability Concepts in Engineering Planning and Design: Decision, Risk, and Reliability, Volume 2, John Wiley & Sons, New York.
Au SK and Beck JL, 2001a, Estimation of small failure probabilities in high dimensions by subset simulation, Probabilistic Engineering Mechanics, 16, 263-277.
Au SK and Beck JL, 2001b, First excursion probabilities for linear systems by very efficient importance sampling, Probabilistic Engineering Mechanics, 16, 193-207.
Au SK and Beck JL, 2003, Subset simulation and its applications to seismic risk based on dynamic analysis, ASCE Journal of Engineering Mechanics, 16, 263-277.
Au SK, 2006, Sub-critical excitations of SDOF elasto-plastic systems, International Journal of Non-linear Mechanics, 41, 1095-1108.
Au SK, Ching J and Beck JL, 2007, Application of subset simulation methods to reliability benchmark problems, Structural Safety, 29, 183-193.
Au SK, 2009, Importance sampling for elasto-plastic systems using adapted process with deterministic control, International Journal of Non-Linear Mechanics, 44, 190-199.
Beck JL and Au SK, 2002, Bayesian updating of structural models and reliability using Markov Chain Monte Carlo simulation, ASCE Journal of Engineering Mechanics, 128, 380-391.
Bhattacharya B, Wang S, Basu R, Ma K and Menon B, 1999, Reliability-based combination of environmental parameters for the design of novel floating structures, Proceedings of 18th International Conference on Offshore Mechanics and Arctic Engineering, St Johns, New Foundland, Canada, July 11-16.
Bjerager P, 1988, Probability integration by directional simulation, ASCE Journal of Engineering Mechanics, 114(8), 1285-1302.
Breitung K, 1984, Asymptotic approximation for multinormal integrals, Journal of Engineering Mechanics, 110(3), 357-366.
Brown RG and Hwang PYC, 1997, Introduction to Random Signals and Applied Kalman Filtering, 3rd edition, John Wiley & Sons, New York.
Bucher CG, 2009, Asymptotic sampling for high-dimensional reliability analysis, Probabilistic Engineering Mechanics, 24, 504-510.
Der Kiureghian A and Liu PL, 1986, Structural reliability under incomplete probability information, ASCE Journal of Engineering Mechanics, 112(1), 85-104.
Der Kiureghian A, 1994, Inverse reliability problem, ASCE Journal of Engineering Mechanics, 120, 1154-1159.
Der Kiureghian A and Dakessian T, 1998, Multiple design points in first and second-order reliability, Structural Safety, 20, 37-49.
Der Kiureghian A, 2000, The geometry of random vibrations and solutions by FORM and SORM, Probabilistic Engineering Mechanics, 15, 81-90.
Diamantidis D, 1987, Reliability assessment of existing structures, Engineering Structures, 9, 177-182.
Ditlevsen O and Madsen HO, 1996, Structural Reliability Methods. John Wiley & Sons, Chichester.
Doucet A, de Freitas N and Gordon N, 2001, Sequential Monte Carlo Methods in Practice, Springer, New York.
Drenick RF, 1970, Model free design of aseismic structures, ASCE Journal of Engineering Mechanics Division, Aug, 483-493.
Drenick RF, 1973, Aseismic design by way of critical excitation, ASCE Journal of Engineering Mechanics Division, Aug, 649-667.
Drenick RF, 1977, The critical excitation of nonlinear systems, ASME, Journal of Applied Mechanics, June, 333-336.
Ellingwood BR, 1996, Reliability-based condition assessment and LRFD for existing structures, Structural Safety, 18, 67-80.
Engelund S and Rackwitz R, 1993, A benchmark study on importance sampling techniques in structural reliability, Structural Safety, 12, 255-276.
Gilks WR, Richardson S and Spiegelhalter DJ, 1996, Markov chain Monte Carlo in Practice, Chapman & Hall/CRC, New York.
Girsanov IV, 1960, On transforming a certain class of stochastic processes by absolutely continuous substitution of measures, Theory of Probability and its Applications, 5, 285-301.
Gordon NJ, Salmond DJ and Smith AF, 1993, Novel approach to nonlinear/non-Gaussian Bayesian state estimation, IEE Proceedings-F, 140, 107-113.
Grigoriu M and Hall B, 1984, Probabilistic models for proof load testing, ASCE Journal of Structural Engineering, 110(2), 260-274.
Grigoriu M, 2002, Stochastic Calculus: Applications in Science and Engineering, Birkhauser, Boston.
Grooteman F, 2008, Adaptive radial-based importance sampling method for structural reliability, Structural Safety, 30, 533-542.
Gupta S and Manohar CS, 2004, An improved response surface method for the determination of failure probability and importance measures, Structural Safety, 26, 123-139.
Hall WB and Tsai M, 1989, Load testing, structural reliability and test evaluation, Structural Safety, 6, 285-302.
Hasofer AM and Lind NC, 1974, Exact and invariant second moment code format, ASCE Journal of Engineering Mechanics Division, 100, 111-121.
Hastings WK, 1970, Monte Carlo sampling methods using Markov chains and their applications, Biometrika, 57(1), 97-109.
Haukass T and Der Kiureghian A, 2007, Methods and object-oriented software for FE reliability and sensitivity analysis with application to a bridge structure, ASCE Journal of Computing in Civil Engineering, 21 (3), 151-163.
IEEE Std 344-2004, 2004, Recommended Practice for Seismic Qualification of Class 1E Equipment for Nuclear Power Generating Stations.
Igusa T and Der Kiureghian A, 1988, Response of uncertain systems to stochastic excitation, ASCE Journal of Engineering Mechanics, 114 (5), 812-832.
Iyengar RN and Manohar CS, 1987, Nonstationary random critical seismic excitations, ASCE Journal of Engineering Mechanics, 113 (4), 529-540.
JCSS, 2001, Probabilistic Model Code, Technical report, Joint Committee on Structural Safety. http://www.jcss.ethz.ch/
Jiao G and Moan T, 1990, Methods of reliability model updating through additional events, Structural Safety, 9, 139-153.
Julier SJ and Uhlmann JK, 2004, Unscented filtering and nonlinear estimation, Proceedings of the IEEE, 92(3), 401-422.
Karamchandani A, Bjerager P and Cornell CA, 1989, Adaptive importance sampling, ASCE Proceedings of the 5th International Conference on Structural Safety and Reliability (IC0SSAR ’89), New York, 855-862.
Kerschen G, Worden K, Vakakis AF and Golinval JC, 2006, Past, present and future of nonlinear system identification in structural dynamics, Mechanical Systems and Signal Processing, 20, 505-592.
Khalil M, Poirel D and Sarkar A, 2013, Parameter estimation of a fluttering aeroelastic system in the transitional Reynolds number regime, Journal of Sound and Vibration, 332, 3670-3691.
Kloeden PE and Platen E, 1992, Numerical Solution of Stochastic Differential Equations, Springer, Berlin.
Koo H, Der Kiureghian A and Fujimura K, 2005, Design-point excitation for non-linear random vibrations, Probabilistic Engineering Mechanics, 20, 136-147.
Koutsourelakis PS, Pradlwarter HJ and Schueller GI, 2004, Reliability of structures in higher dimensions, part I; Algorithms and applications, Probabilistic Engineering Mechanics, 19, 409-417.
Langley RS, 2000, Unified approach to probabilistic and possibilistic analysis of uncertain systems, ASCE Journal of Engineering Mechanics, 126(11), 1163-1172.
Lin YK, 1967, Probabilistic Theory of Structural Dynamics, McGraw-Hill, New York.
Lin YK and Cai GQ, 1995, Probabilistic Structural Dynamics: Advanced Theory and Applications, McGraw-Hill, Singapore.
Lin TS and Nowak AS, 1984, Proof loading and structural reliability, Reliability Engineering, 8, 85-100.
Liu JS and Chen R, 1998, Sequential Monte Carlo methods for dynamic systems, Journal of American Statistical Association, 93(443), 1032-1044.
Liu JS, 2001, Monte Carlo Strategies in Scientific Computing, Springer, New York.
Macke M and Bucher C, 2003, Importance sampling for randomly excited dynamical systems, Journal of Sound and Vibration, 268, 269-290.
Madsen HO, Krenk S and Lind NC, 1986, Methods of Structural Safety, Prentice-Hall, New Jersey.
Manohar CS and Ibrahim RA, 1999, Progress in structural dynamics with stochastic parameter variations 1987-1998, ASME Applied Mechanics Reviews, 52(5), 177-197,
Manohar CS and Gupta S, 2005, Modeling and evaluation of structural reliability: Current status and future directions, Chapter in Recent Advances in Structural Engineering (Editors: K S Jagadish and Iyengar RN), Universities Press, Hyderabad, 90-187.
Manohar CS and Roy D, 2006, Monte Carlo filters for identification of nonlinear structural dynamical systems, Sadhana, 31(4), 399-427.
Oindrila K and Manohar CS, 2015, Markov chain splitting methods in structural reliability estimation, Probabilistic Engineering Mechanics, 40, 42-51.
Maybeck PS, 1982, Stochastic Models, Estimation, and Control, Volume 2, Academic Press, New York.
Melchers RE, 1989a, Importance sampling in structural systems, Structural Safety, 6, 3-10.
Melchers RE, 1989b, Improved importance sampling methods for structural system reliability calculation, ASCE Proceedings of the 5th International Conference on Structural Safety and Reliability (IC0SSAR ’89), New York, 1185-1192.
Melchers RE, 1999, Structural Reliability Analysis and Prediction, 2nd edition, John Wiley & Sons, Chichester.
Melchers RE, 2001, Assessment of existing structures-approaches and research needs, ASCE Journal of Structural Engineering, 127(4), 406-411.
Melchers RE and Ahammed M, 2004, A fast approximate method for parameter sensitivity estimation in Monte Carlo structural reliability, Computers and Structures, 82, 55–61.
Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH and Teller E, 1953, Equation of state calculations by fast computing machines, The Journal of Chemical Physics, 21(6), 1087-1092.
Milstein GN, 1995, Numerical Integration of Stochastic Differential Equations, Kluwer Academic Publisher, Boston.
Mori Y and Ellingwood B, 1993, Reliability-based service life assessment of aging concrete structures, ASCE Journal of Structural Engineering, 119(5), 1600-1621.
Nasrellah HA and Manohar CS, 2011a, Particle filters for structural system identification using multiple test and sensor date: A combined computational and experimental study, Structural Control and Health Monitoring, 18(1), 99-120.
Nasrellah HA and Manohar CS, 2011b, Finite element based Monte Carlo filters for structural system identification, Probabilistic Engineering Mechanics, 26, 294-307.
Newton NJ, 1994, Variance reduction for simulated diffusion, SIAM Journal of Applied Mathematics, 54, 1780-1805.
Nigam NC, 1983, Introduction to Random Vibrations, The MIT Press, Cambridge, Massachusetts.
Oksendal B, 2003, Stochastic Differential Equations: An Introduction and Applications, 6th edition, Springer, New York.
Olsen AI and Naess A, 2006, Estimation of failure probability of linear dynamical systems by importance sampling, Sadhana, 31(4), 429-443.
Olsen AI and Naess A, 2007, An importance sampling procedure for estimating failure probabilities of non-linear dynamic systems subjected to random noise, International Journal of Non-linear Mechanics, 42, 848-863.
Papadimitriou C, Beck JL and Katafygiotis L, 2001, Updating robust reliability using structural test data, Probabilistic Engineering Mechanics, 16, 103-113.
Popescu R, Deodatis G and Prevost JH, 1998, Simulation of homogeneous non-Gaussian stochastic vector fields, Probabilistic Engineering Mechanics, 13(1), 1-13.
Pradlwarter HJ and Schueller GI, 1999, Assessment of low probability events of dynamical systems by controlled Monte Carlo simulation, Probabilistic Engineering Mechanics, 14, 213-227.
Pradlwarter HJ and Schueller GI, 2010, Local domain Monte Carlo simulation, Structural Safety, 32, 275-280.
Pugsley AG, 1944, The history of structural testing, Journal of Institute of the Structural Engineer, 12, 492-505.
Pulido J, 2012, Reliability testing of structures with road loadings, IEEE International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering (ICQR2MSE), June 15-18.
Rackwitz R and Fiessler B, Structural reliability under combined load sequence, Computers and Structures, 9, 484-494.
Rackwitz R and Schrupp K, 1985, Quality control, proof testing and structural reliability, Structural Safety, 2, 239-244.
Rackwitz R, 2001, Reliability analysis – a review and some perspectives, Structural Safety, 23, 365-395.
Radhika B and Manohar CS, 2010, Reliability models for existing structures based on dynamic state estimation and data based extreme value analysis, Probabilistic Engineering Mechanics, 25, 393-405.
Radhika B and Manohar CS, 2012, Nonlinear dynamic state estimation in instrumented structures with conditionally linear Gaussian substructures, Probabilistic Engineering Mechanics, 30, 89-103.
Ristic B, Arulampalam S and Gordon N, 2004, Beyond the Kalman Filter: Particle Filters for Tracking Applications, Artech House, Boston.
Rubinstein RY and Kroese DP, 2007, Simulation and the Monte Carlo Method, 2nd edition, John Wiley & Sons, New Jersey.
Saha S and Manohar CS, 2005, Inverse reliability based structural design for system dependent critical earthquake loads, Probabilistic Engineering Mechanics, 20, 19-31.
Sarkka S and Sottinen T, 2008, Application of Girsanov theorem to particle filtering of discretely observed continuous-time non-linear systems, Bayesian Analysis, 3(3), 555-584.
Schueller GI and Stix R, 1987, A critical appraisal of methods to determine failure probabilities, Structural Safety, 4, 239-309.
Schueller GI, Pradlwarter HJ and Koutsourelakis PS, 2004, A critical appraisal of reliability estimation procedures for high dimensions, Probabilistic Engineering Mechanics, 19, 463-474.
Schueller GI and Pradlwarter HJ, 2007, Benchmark study on reliability estimation in higher dimensions of structural systems – an overview, Structural Safety, 29, 167-182.
Severn RT, Taylor CA and Brownjohn JMW, 1990, Full-scale dynamic testing and mathematical model validation of dams, Dam Engineering, 1(2), 101-122.
Shinozuka M, 1972, Monte Carlo solution of structural dynamics, Computers and Structures, 2, 855-874.
Shinozuka M, 1983, Basic analysis of structural safety, ASCE Journal of Structural Engineering, 109(3), 721-740.
Song J and Der Kiureghian A, 2003, Bounds on system reliability by linear programming, ASCE Journal of Engineering Mechanics, 129(6), 627-636.
Srinivasan M, Ellingwood B and Corotis RB, 1991, Critical excitations of structural systems, ASCE Journal of Engineering Mechanics, 117(6), 1404-1423.
Srinivasan M, Corotis RB and Ellingwood B, 1992, Generation of critical stochastic earthquakes, Earthquake Engineering and Structural Dynamics, 21(4), 275-288.
Steinwolf A, 2006, Random vibration testing beyond PSD limitations, Sound and Vibration, 40(9), 12-21.
Strelec H, 1993, A model for accelerated life testing, Structural Safety, 12, 129-136.
Sudret B and Der Kiureghian A, 2002, Comparison of finite element reliability methods, Probabilistic Engineering Mechanics, 17, 337-348.
Tanaka H, 1997, Application of an importance sampling method to time-dependent system reliability analysis using the Girsanov transformation, Proceedings of the Seventh International Conference on Structural Safety and Reliability, Kyoto, Japan.
Tanizaki H, 1996, Nonlinear Filters: Estimation and Applications, 2nd edition, Springer-Verlag, Berlin.
Valdebenito MA, Pradlwarter HJ and Schueller GI, The role of the design point for calculating failure probabilities in view of dimensionality and structural nonlinearities, Structural Safety, 32, 101-111.
Veneziano D, Galeota D and Giammatteo MM, 1984, Analysis of bridge proof-load data I: model and statistical procedures, Structural Safety, 2, 91-104.
Veneziano D, Galeota D and Giammatteo MM, 1985, Analysis of bridge proof-load data II: numerical results, Structural Safety, 2, 177-198.
Wen YK, 1976, Method for random vibration of hysteretic systems, ASCE Journal of the Engineering Mechanics Division, 102(2), 249–263.
Wen YK, 1989, Methods of random vibration for inelastic structures, ASME Applied Mechanics Reviews, 42(2), 39-52.
Westermo BD, 1985, The critical excitation and response of simple dynamic systems, Journal of Sound and Vibration, 100(2), 233-242.
Williams MS and Blakeborough A, 2001, Laboratory testing of structures under dynamic loads: an introductory review, Proceeding of the Royal Society A, 359, 1651-1669.
Yao JTP, 1979, Damage assessment and reliability evaluation of existing structures, Engineering Structures, 1, 245-251.
Yao JTP, 1982, Probabilistic method for the evaluation of seismic damage of existing structure, Soil Dynamics and Earthquake Engineering, 1(3), 130-135.
Yao JTP, 1985, Safety and Reliability of Existing Structures, Pitman, Boston.
Yuen KV and Kuok SC, 2011, Bayesian methods for updating dynamic models, Applied Mechanics Reviews, 64(1), 010802-1-18.