Full Text:   <1800>

CLC number: O32

On-line Access: 2007-12-14

Received: 2007-06-07

Revision Accepted: 2007-09-11

Crosschecked: 0000-00-00

Cited: 3

Clicked: 3574

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.1 P.15~25

10.1631/jzus.A072128


Reliability based multiobjective optimization for design of structures subject to random vibrations


Author(s):  Giuseppe Carlo MARANO

Affiliation(s):  Department of Environmental Engineering and Sustainable Development, Technical University of Bari, viale del Turismo, 10-74100, Taranto, Italy

Corresponding email(s):   gmarano@poliba.it

Key Words:  Structural optimization, Multiobjective optimization (MOO), Random vibration, Tuned mass damper (TMD)


Giuseppe Carlo MARANO. Reliability based multiobjective optimization for design of structures subject to random vibrations[J]. Journal of Zhejiang University Science A, 2008, 9(1): 15~25.

@article{title="Reliability based multiobjective optimization for design of structures subject to random vibrations",
author="Giuseppe Carlo MARANO",
journal="Journal of Zhejiang University Science A",
volume="9",
number="1",
pages="15~25",
year="2008",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A072128"
}

%0 Journal Article
%T Reliability based multiobjective optimization for design of structures subject to random vibrations
%A Giuseppe Carlo MARANO
%J Journal of Zhejiang University SCIENCE A
%V 9
%N 1
%P 15~25
%@ 1673-565X
%D 2008
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A072128

TY - JOUR
T1 - Reliability based multiobjective optimization for design of structures subject to random vibrations
A1 - Giuseppe Carlo MARANO
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 1
SP - 15
EP - 25
%@ 1673-565X
Y1 - 2008
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A072128


Abstract: 
Based on a multiobjective approach whose objective function (OF) vector collects stochastic reliability performance and structural cost indices, a structural optimization criterion for mechanical systems subject to random vibrations is presented for supporting engineer’s design. This criterion differs from the most commonly used conventional optimum design criterion for random vibrating structure, which is based on minimizing displacement or acceleration variance of main structure responses, without considering explicitly required performances against failure. The proposed criterion can properly take into account the design-reliability required performances, and it becomes a more efficient support for structural engineering decision making. The multiobjective optimum (MOO) design of a tuned mass damper (TMD) has been developed in a typical seismic design problem, to control structural vibration induced on a multi-storey building structure excited by nonstationary base acceleration random process. A numerical example for a three-storey building is developed and a sensitivity analysis is carried out. The results are shown in a useful manner for TMD design decision support.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Coello, C.A., 1999. A comprehensive survey of evolutionary-based multiobjective optimization techniques. Knowledge and Information Systems, 1:269-308.

[2] Constantinou, M.C., Tadjbakhsh, I.G., 1983a. Optimum design of a first story damping system. Computer and Structures, 17(2):305-310.

[3] Constantinou, M.C., Tadjbakhsh, I.G., 1983b. Probabilistic optimum base isolation of structures. J. Struct. Engrg. Div., ACSE, 109:676-689.

[4] Constantinou, M.C., Tadjbakhsh, I.G., 1985. Optimum characteristics of isolated structures. ASCE J. Struc. Engrg., 111(12):2733-2750.

[5] Crandall, S.H., Mark, W.D., 1963. Random Vibration in Mechanical Systems. Academic Press.

[6] Gasser, M., Schueller, G.I., 1997. Reliability-based optimization of structural systems. Mathematical Methods of Operations Research, 46(3):287-308.

[7] Jennings, P.C., 1964. Periodic response of a general yielding structure. J. Engrg. Mech. Div., ASCE, 90(EM2):131-166.

[8] Kuschel, N., Rackwitz, R., 2000. Optimal design under time-variant reliability constraints. Struct. Safety, 22(2):113-127.

[9] Marano, G.C., Trentadue, F., Greco, R., 2006. Optimum design criteria for elastic structures subject to random dynamic loads. Engineering Optimization, 38(7):853-871.

[10] Marano, G.C., Trentadue, F., Greco, R., 2007a. Stochastic optimum design criterion for linear damper devices for building seismic protection. Structural and Multidisciplinary Optimization, 33(6):441-455.

[11] Marano, G.C., Greco, R., Trentadue, F., Chiaia, B., 2007b. Constrained reliability-based optimization of linear tuned mass dampers for seismic control. International Journal of Solids and Structures, 44(22-23):7370-7388.

[12] Nigam, N.C., 1972. Structural optimization in random vibration environment. AIAA J., 10(4):551-553.

[13] Papadimitriou, C., Ntotsios, E., 2005. Robust Reliability-based Optimization in Structural Dynamics Using Evolutionary Algorithms. Proc. 6th International Conference on Structural Dynamics, Paris, p.735-739.

[14] Papadimitriou, C., Katafygiotis, L.S., Siu, K.A., 1997. Effects of structural uncertainties on TMD design: A reliability-based approach. Journal of Structural Control, 4(1):65-88.

[15] Park, K.S., Koh, H.M., Hahm, D., 2004. Integrated optimum design of viscoelastically damped structural systems. Engineering Structures, 26(5):581-591.

[16] Pedersen, C., Thoft-Christensen, P., 1995. Interactive Structural Optimization with Quasi-Newton-algorithms. Proceedings of the 6th IFIP WG 7.5 Conference, Assisi, Italy. Chapman & Hall, London, p.225-232.

[17] Polak, E., Kirjner-Neto, C., der Kiureghian, A., 1997. Structural Optimization with Reliability Constraints. Proceedings of the 7th IFIP WG 7.5 Conference Boulder ’96. Pergamon, New York, p.289-296.

[18] Rackwitz, R., Augusti, G., Borri, A. (Eds.), 1995. Reliability and Optimization of Structural Systems, Proc. IFIP WG 7.5 Working Conference, Assisi, Italy. Chapman & Hall, London.

[19] Rice, S.O., 1944. Mathematical analysis of random noise. Bell System Technical Journal, 23:282-332.

[20] Rice, S.O., 1945. Mathematical analysis of random noise—Conclusion. Bell System Technical Journal, 24:46-156.

[21] Rosenblueth, E., Mendoza, E., 1971. Reliability optimization in isostatic structures. J. Engrg. Mech. Div., ASCE, 97(EM6):1625-1642.

[22] Soong, T.T., Grigoriu, M., 1992. Random Vibration of Mechanical and Structural Systems. Prentice-Hall, Upper Saddle River, NJ.

[23] Tajimi, H., 1960. A Statistical Method of Determining the Maximum Response of a Building During Earthquake. Proc. of 2nd World Conf. on Earthquake Engineering, Tokyo, Japan.

[24] Wirsching, P.H., Campbell, G.W., 1974. Minimal structure response under random excitation using vibration absorber. Earthquake Engineering & Structural Dynamics, 2(4):303-312.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE