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http://dx.doi.org/10.12989/sem.2009.33.4.539

Dynamic eigenvalue analysis of structures with interval parameters based on affine arithmetic  

Zhu, Zeng-Qing (School of Electromechanical Engineering, Xidian University)
Chen, Jian-Jun (School of Electromechanical Engineering, Xidian University)
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Structural Engineering and Mechanics / v.33, no.4, 2009 , pp. 539-542 More about this Journal
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1 Chen, H.H. and Chen, Z.X. (2000), "A direct optimization method for solving eigen problems of interval matrices", Chinese J. Vib. Eng., 13(1), 117-121
2 Chen, S.H. and Qiu, Z.P. (1994), "Perturbation method for computing eigenvalue bounds in vibration system with interval parameters", Chinese J. Commun. Numer. Meth. Eng., 10, 121-134   DOI   ScienceOn
3 Deif, A. (1986), Sensitivity Analysis in Linear Systems, Springer-Verlag, Berlin and Heidelberg
4 Elishakoff, I. (1998), "Three versions of the finite element method based on concepts of either stochasticity, fuzziness or anti-optimization", J. Appl. Mech. Rev., 51(3), 209-218   DOI   ScienceOn
5 Galal, O.H., El-Tahan, W., El-Tawil, M.A. and Mahmoud, A.A. (2008), "Spectral SFEM analysis of structures with stochastic parameters under stochastic excitation", Struct. Eng. Mech., 28(3), 281-294   DOI   ScienceOn
6 Qiu, Z.P. and Wang, X.J. (2005), "Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis", Int. J. Solids Struct., 42, 4958-4970   DOI   ScienceOn
7 Rao, S.S. and Berke, L. (1997), "Analysis of uncertain structural system using interval analysis", AIAA J., 35(4),727-735   DOI   ScienceOn
8 Stolfi, J. and de Figueiredo, L.H. (2003), "An introduction to affine arithmetic", TEMA Tend. Mat. Appl. Comput., 4(3), 297-312
9 Theodorou, Y., Drossos, C. and Alevizos, P. (2007), "Correspondence analysis with fuzzy data: The fuzzy eigenvalue problem", Fuzzy Set. Syst., 158(7), 704-721   DOI   ScienceOn
10 Wang, D.G. and Li, J. (2004), "A new method for computing the eigenvalues bounds of structures with interval parameters", Chinese J. Comput. Mech., 21(1), 56-61
11 Zhang, X.M. and Ding, H. (2007), "Interval finite element method for complex eigenvalues of closed-loop systems with uncertain parameters", Struct. Eng. Mech., 26(2), 163-178   DOI   ScienceOn