87
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

Optimum design criteria for elastic structures subject to random dynamic loads

, &
Pages 853-871 | Received 29 Apr 2005, Published online: 26 Jan 2007

References

  • Bolotin , V. V. 1984 . Random Vibrations of Elastic Systems , Aspen Publishers .
  • Chopra , A. K. 2000 . Dynamics of Structures: Theory and Applications to Earthquake Engineering , (2nd edn) , Upper Saddle River, NJ : Prentice-Hall .
  • Constantinou , M. C. and Tadjbakhsh , I. G. 1983a . Optimum design of a first storey damping system . Comput. Struct. , 17 ( 2 ) : 305 – 310 .
  • Constantinou , M. C. and Tadjbakhsh , I. G. 1983b . Probabilistic optimum base isolation of structures . J. Struct. Eng. Div. ACSE , 109 : 676 – 689 .
  • Constantinou , M. C. and Tadjbakhsh , I. G. 1985 . Optimum characteristics of isolated structures . J. Struct. Eng. Div. ACSE , 111 : 2733 – 2749 .
  • Crandall , S. H. and Mark , W. D. 1963 . Random Vibration in Mechanical Systems , New York : Academic Press .
  • Elishakoff , I. , Haftka , R. T. and Fang , J. 1994 . Structural design under bounded uncertainty-optimization with anti-optimization . Comput. Struct. , 53 : 1401 – 1405 .
  • Gasser , M. and Schueller , G.-I. 1997 . Reliability-based optimization of structural systems . Math. Methods Oper. Res. , 46 ( 3 ) : 287 – 308 .
  • Gill , P. and Murray , W. 1981 . Practical Optimization , New York : Academic Press .
  • Greco , R. , Marano , G. C. , Uva , G. and Dentamaro , C. 2001 . “ Stochastic optimization of high damping base isolators ” . In European Earthquake Engineering Vol. 1 , December
  • Jangid , R. S. 1996 . Optimum damping in a non-linear base isolation system . J. Sound Vibr. , 189 ( 4 ) : 477 – 487 .
  • Kuschel , N. and Rackwitz , R. 1997 . Two basic problems in reliability-based structural optimization . Math. Methods Oper. Res. , 46 ( 3 ) : 309 – 330 .
  • Kuschel , N. and Rackwitz , R. 2000 . Optimal design under time-variant reliability constraints . Struct. Safety , 22 : 113 – 127 .
  • Lutes , L. D. and Sarkani , S. 2004 . Random Vibrations , Oxford : Elsevier .
  • Marano , G. C. and Greco , R. 2004 . A performance reliability based criterion for the optimum design of bridge isolators . ISET J. Earthq. Technol. , 41 ( 2–4 ) : 261 – 276 .
  • Park , K. S. , Koh , H. M. and Hahm , D. 2004 . Integrated optimum design of viscoelastically damped structural systems . Eng. Struct. , 26 ( 5 ) : 581 – 591 .
  • Pedersen , C. and Thoft-Christensen , P. 1995 . “ Interactive structural optimization with quasi-Newton-algorithms ” . In Reliability and Optimization of Structural Systems , Edited by: Rackwitz , R. , Augusti , G. and Borri , A. 225 – 232 . London : Chapman & Hall .
  • Polak , E. , Kirjner-Neto , C. and Der Kiureghian , A. 1997 . Structural optimization with reliability constraints . Proceedings of the 7th IFIP WG 7.5 Conference . 1997 , Boulder, CO. pp. 289 – 296 . New York : Pergamon .
  • Rackwitz , R. , Augusti , G. and Borri , A. 1995 . Reliability and Optimization of Structural Systems , Edited by: Rackwitz , R. , Augusti , G. and Borri , A. London : Chapman & Hall .
  • Rice , S. O. 1944–1945 . Mathematical analysis of random noise . Bell Syst. Tech. J. , : 23 – 24 . Reprinted in Selected Papers on Noise and Stochastic Processes, edited by N. Wax, 1954 (Dover Publications: New York
  • Rosenblueth , E. and Mendoza , E. 1971 . Reliability optimization in isostatic structures . J. Eng. Mech. Div. ASCE , 97 ( EM6 ) : 1625 – 1642 .
  • Siddal , J. N. 1983 . Probabilistic Engineering Design: Principles and Applications , New York : Marcel Dekker .
  • Soong , T. T. and Grigoriu , M. 1993 . Random Vibration of Mechanical and Structural Systems , Upper Saddle river, NJ : Prentice-Hall .
  • Tajimi , H. A statistical method of determining the maximum response of a building during earthquake . Proceedings of 2nd World Conference on Earthquake Engineering ,
  • Venter , G. and Haftka , R. T. 1999 . Using response surface approximations in fuzzy set based design optimization . Struct. Optimiz. , 18 : 218 – 227 .
  • Walsh , G. R. 1975 . Methods of Optimization , New York : John Wiley .
  • Wirsching , P. H. and Campbell , G. W. 1974 . Minimal structure response under random excitation using vibration absorber . Earthq. Eng. Struct. Dynam. , 2 : 303 – 312 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.