Performance measures and optimal design of linear structural systems under stochastic stationary excitation

Structural Safety

Volumn 32, Issue 5, 2010, Pages 305-315

  Taflanidis, Alexandros A ^a   Scruggs, Jeffrey T ^b  

^a University of Notre Dame   (United States)

^b Duke University   (United States)

Author keywords

Optimal H2 design; Out crossing rate; Reliability; Second order statistics; Stationary response; Stochastic excitation

Indexed keywords

CROSSING RATES; OUT-CROSSING RATE; SECOND ORDER STATISTICS; STATIONARY RESPONSE; STOCHASTIC EXCITATIONS;

CIVIL ENGINEERING; OPTIMAL SYSTEMS; REGRESSION ANALYSIS; RELIABILITY; STOCHASTIC SYSTEMS; STRUCTURAL DESIGN;

STRUCTURAL OPTIMIZATION;

EID: 77953539900     PISSN: 01674730     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.strusafe.2010.03.010     Document Type: Article

References (42)

1. Clough R.W., Penzien J. Dynamics of structures 1993, Mc Graw-Hill Inc., New York (NY).
2. Goda Y. Random seas and design of maritime structures 2000, World Scientific Publishing, Singapore. 2nd ed.
3. Simiu E., Scanlan R.H. Wind effects on structures: fundamentals and applications to design 1996, Wiley-Interscience, New York (NY). 3rd ed.
4. Lutes L.D., Sarkani S. Stochastic analysis of structural and mechanical vibrations 1997, Prentice Hall, Upper Saddle River (NJ).
5. Singh M.P., Moreschi L.M. Optimal placement of dampers for passive response control. Earthquake Eng Struct Dynam 2002, 31(4):955-976.
6. Taflanidis A.A., Scruggs J.T., Beck J.L. Reliability-based performance objectives and probabilistic robustness in structural control applications. J Eng Mech 2008, 134(4):291-301.
7. Scruggs J.T., Taflanidis A.A., Beck J.L. Reliability-based control optimization for active base isolation systems. J Struct Contr Health Monitor 2006, 13:705-723.
8. 2 performances. Earthquake Eng Struct Dynam 2002, 31(4):921-936.
9. Field R.V., Bergman L.A. Reliability-based approach to linear covariance control design. ASCE J Eng Mech 1998, 124(2):193-199.
10. Papadimitriou C., Katafygiotis L.S., Au S.K. Effects of structural uncertainties on TMD design: a reliability based approach. J Struct Contr 1997, 4(1):65-88.
11. May B., Beck J. Probabilistic control for the active mass driver benchmark structural model. Earthquake Eng Struct Dynam 1998, 27(11):1331-1346.
12. Taflanidis A.A., Beck J.L., Angelides D.A. Robust reliability-based design of liquid column mass dampers under earthquake excitation using an analytical reliability approximation. Eng Struct 2007, 29(12):3525-3537.
13. Taflanidis A.A., Beck J.L. Analytical approximation for stationary reliability of certain and uncertain linear dynamic systems with higher dimensional output. Earthquake Eng Struct Dynam 2006, 35:1247-1267.
14. Levine W., Athans M. On the determination of the optimal constant output feedback gains for linear multivariable systems. IEEE Trans Automat Contr 1970, 15(1):44-48.
15. Dorato P., Abdallah C., Cerone V. Linear-quadratic control: an introduction 1998, Prentice Hall.
16. Syrmos V.L., Abdallah C.T., Dorato P., Grogoriadis K. Static output feedback - a survey. Automatica 1997, 33(2):125-137.
17. Boyd S., El Ghaoui L., Feron E., Balakrishnan V. Linear matrix inequalities in systems and control theory 1994, SIAM Books, Philadelphia (PA).
18. Skelton R.E., Iwasaki T., Grigoriadis K. A unified algebraic approach to linear control design 1998, Taylor & Francis, Bristol (PA).
19. Melchers R. Structural reliability analysis and prediction 1999, Wiley, New York. 2nd ed.
20. Suhardjo J., Kareem A. Feedback-feedforward control of offshore platforms under random waves. Earthquake Eng Struct Dynam 2001, 30:213-235.
21. Roberts J.B., Spanos P.D. Random vibration and statistical linearization 2003, Dover, Mineola (NY).
22. Proppe C., Pradlwarter H.J., Schuëller G.I. Equivalent linearization and Monte Carlo simulation in stochastic dynamics. Probab Eng Mech 2003, 18(1):1-15.
23. Rice SO. Mathematical analysis of random noise. Bell System Technical Journal 1944, 1945; 23 and 24.
24. Vanmarcke E.H. On the distribution of the first passage time for Normal stationary processes. J Appl Mech 1975, 42:215-220.
25. Koutsourelakis P.S. A note on the first-passage problem and VanMarcke's approximation - short communication. Probab Eng Mech 2007, 22(1):22-26.
26. Belyaev Y. On the number of exits across the boundary of a region by a vector stochastic process. Theor Probab Appl 1968, 13(2):320-324.
27. Veneziano D., Grigoriu M., Cornell C.A. Vector-process models for system reliability. J Eng Mech 1977, 103(3):441-460.
28. Soong T.T., Grigoriu M. Random vibration of mechanical and structural systems 1993, Prentice Hall.
29. Song J., Der Kiureghian A. Joint first-passage probability and reliability of systems under stochastic excitation. J Eng Mech 2006, 132(1):65-77.
30. Winterstein S.R., Cornell C.A. Energy fluctuation scale and diffusion models. J Eng Mech 1985, 111(2):125-142.
31. Taflanidis AA, Beck JL. Analytical approximation for stationary reliability calculation of linear dynamic systems. EERL Report No. 2005-3. California Institute of Technology; 2005.
32. Johnson R.A., Wichern D.W. Applied multivariate statistical analysis 2002, Prentice Hall. 5th ed.
33. Genz A. Numerical computation of multivariate Normal probabilities. J Comput Graph Stat 1992, 1:141-149.
34. Au S.K., Beck J.L. First-excursion probabilities for linear systems by very efficient importance sampling. Probab Eng Mech 2001, 16:193-207.
35. Taflanidis A.A., Beck J.L. Stochastic subset optimization for reliability optimization and sensitivity analysis in system design. Comput Struct 2009, 87:318-331.
36. Horisberger H.P., Belanger P.R. Solution of the optimal output feedback problem by conjugate gradients. IEEE Trans Autom Control 1974, AC19(4):434-435.
37. Camino J.F., de Oliveira M.C., Skelton R.E. " Convexifying" linear matrix inequality methods for integrating structure and control design. ASCE J Struct Eng 2003, 129(7):978-988.
38. Scruggs JT. Multi-objective optimization of regenerative damping in vibrating structures. In: American control conference. New York (NY); 2007. p. 2672-7.
39. Spall J.C. Introduction to stochastic search and optimization 2003, Wiley-Interscience, New York.
40. Yuen K., Beck J. Reliability-based robust control for uncertain dynamical systems using feedback of incomplete noisy response measurements. Earthquake Eng Struct Dynam 2003, 32(5):751-770.
41. Marano G.C., Greco R., Trentadue F., Chiaia B. Constrained reliability-based optimization of linear tuned mass dampers for seismic control. Int J Solids Struct 2007, 44(22-23):7370-7388.
42. Holmstrom K., Goran A.O., Edvall M.M. User's guide for TOMLAB 7 2009, Tomlab Optimization Inc., San Diego (CA), .