An Interval Parameter Perturbation Method for Predicting the Natural Frequency Bounds of Intelligent Truss Structures with Uncertain-But-Bounded Parameters

Article Preview

Abstract:

The upper and lower bound estimation of natural frequencies for intelligent truss structure with uncertain-but-bounded parameters is studied in this paper. Firstly, following the finite element method, the expressions of the interval stiffness and interval mass matrix of piezoelectric intelligent truss structures are derived directly from the interval parameters. Then, based on the matrix perturbation and interval extension theory, an interval parameter perturbation method is proposed for solving the upper and lower bound of natural frequencies. Finally, a 16-bar planar intelligent truss structure is used as an example to illustrate the applicability and validity of the presented method, and some useful conclusions are obtained.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

569-574

Citation:

Online since:

September 2007

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2007 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] I. Elishakoff: Int J Reliable Computing Supplement, (1995), pp.76-79.

Google Scholar

[2] R.E. Moore: Interval Analysis. Prentice-Hall, Englewood cliffs, NY (1966).

Google Scholar

[3] F. C. Schweppe, Uncertain Dynamical Systems. Prentice-Hall, Englewood Cliffs, N.J. (1973).

Google Scholar

[4] Y. Ben-Haim: in 25th IEEE Conference on Decision and Control, Athens, Greece, (1986), pp.1570-1575.

Google Scholar

[5] Y. Ben-Haim and I. Elishakoff: in Recent Advances in Input Dynamics of Engineering Structures, edited by D. Hui and N. Jones, ASME AMD, Vol. 105(1989), pp.89-95.

Google Scholar

[6] Y. S Shin, R.V. Grandhi: Struct Multidisc Optim, Vol. 22(2001), pp.351-363.

Google Scholar

[7] A.D. Dimarogonas: J Sound and Vibr, Vol. 183(1995), pp.739-49.

Google Scholar

[8] C. Hollot, A Bartlett: in: Technical Report. Department of Electrical Engineering and Computer Engineering, University of Massachusettes: Amherst MASS 01003, (1987).

Google Scholar

[9] A.S. Deif: Advanced Matrix Theory for Scientists and Engineers (2nd edn). Abacus Press: Tunbridge Wells, UK, (1991), pp.262-281.

Google Scholar

[10] S.H. Chen, Z.P. Qiu, T.D. Song: Mech Res Commun, Vol. 21(1994), pp.583-592.

Google Scholar

[11] Z.P. Qiu, S.H. Chen, I. Elishakoff: J Optim Theory Appl, Vol. 86(1995), pp.669-683.

Google Scholar

[12] Z.P. Qiu, I. Elishakoff, J. Strarnes: Chaos Soliton Fract, Vol. 7(1996), pp.303-308.

Google Scholar

[13] S.H. Chen, H.D. Lian, X.W. Yang: Finite Elem Anal Des, Vol. 39(2003), pp.419-31.

Google Scholar

[14] W. Gao, J.J. Chen, H.B. Ma, X.S. Ma: Comput Struct, Vol. 81(2003), pp.53-60.

Google Scholar

[15] W. Gao, J.J. Chen, Y.B. Zhou, M.T. Cui: Mech Syst Signal Pr, Vol. 18 (2004), pp.947-957.

Google Scholar