Reliability-Based Structural Optimization Using Hybrid High Dimensional Model Representation

Article Preview

Abstract:

A design method of reliability-based structural optimization has a powerful advantage because some random variables can be considered. However, the sensitivity analysis of reliability with respect to random variables is very complicated and its computational cost is very expensive. Thus, in this paper, based on hybrid high dimensional model representation (HDMR) and first order second moment (FOSM) method, a new method for the reliability-based structural optimization is proposed. A numerical example is presented to demonstrate the computational efficiency of the proposed method. It is shown that the proposed method can reduce the number of finite element calculation and has the high efficiency.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

3155-3158

Citation:

Online since:

August 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Thoft-Christensen P, Murotsu Y: Application of Structural Systems Reliability Theory (Springer, Berlin 1986).

DOI: 10.1007/978-3-642-82764-8

Google Scholar

[2] W.G. An: Structural systems reliability and optimization design based on reliability (National Defence Industry Press, Beijing 1997).

Google Scholar

[3] W.G. An: The reliability analysis and optimization design of stochastic structural systems (Beijing University of aeronautics and astronautics Press, Beijing 2005).

Google Scholar

[4] Y.M. Xie G.P. Steven: Evolutionary Structural Optimization(Springer, Berlin, 1997).

Google Scholar

[5] G. Kharmanda, N: Structural and Multidisciplinary Optimization, Vol. 26 (2004), p.295.

Google Scholar

[6] S.K. Choi: Reliability-based Structural Design(Springer, Berlin, 2006).

Google Scholar

[7] Rajib C, Rao BN, Prasad AM: Commun. Numer. Meth. Engng, Vol. 25 (2009), p.301.

Google Scholar

[8] Whitley, Darrell: Statistics and Computing , Vol. 4(1994), p.65.

Google Scholar

[9] Rabitz H, Alis OF, Shorter J: Computer Physics Communications, Vol. 117(1999) , p.11.

Google Scholar

[10] Alis OF, Rabitz H: Journal of Mathematical Chemistry, Vol. 29(2001), p.127.

Google Scholar

[11] Li G, Rosenthal C, Rabitz H. Journal of Physical Chemistry A, Vol. 105(2001), p.7765.

Google Scholar

[12] Wang SW, Levy II H, Li G, Rabitz H. Journal of Geophysical Research, Vol. 104(1999), p.304.

Google Scholar

[13] Sobol IM. Reliability Engineering and System Safety, Vol. 79(2003), p.187.

Google Scholar

[14] Chowdhury R, Rao BN, Prasad AM, Commun. Number, Methods Eng. Vol. 25(2009), p.301.

Google Scholar

[15] Rao BN, Chowdhury R, Int. J. Numer. Methods Eng. Vol. 77 (2009), p.719.

Google Scholar

[16] Rackwitz R, Structural Safety, vol. 23(2005), p.365.

Google Scholar

[17] Royset J O., Kiureghian AD, Polak E, Reliability Engineering and System Safety, vol. 73 (2007), p.213.

Google Scholar