Structural Engineering and Mechanics

  • 제33권4호
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  • Pages.539-542
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  • 2009
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

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)
  • 투고 : 2008.03.13
  • 심사 : 2009.07.24
  • 발행 : 2009.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

키워드

참고문헌

  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 https://doi.org/10.1002/cnm.1640100204
  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 https://doi.org/10.1115/1.3098998
  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 https://doi.org/10.12989/sem.2008.28.3.281
  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 https://doi.org/10.1016/j.ijsolstr.2005.02.023
  7. Rao, S.S. and Berke, L. (1997), "Analysis of uncertain structural system using interval analysis", AIAA J., 35(4),727-735 https://doi.org/10.2514/2.164
  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 https://doi.org/10.1016/j.fss.2006.11.011
  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 https://doi.org/10.12989/sem.2007.26.2.163

피인용 문헌

  1. Affine arithmetic applied to transient statistical energy analysis of a two-oscillator system vol.70, 2015, https://doi.org/10.1016/j.mechrescom.2015.08.009
  2. Natural frequencies of structures with interval parameters vol.347, 2015, https://doi.org/10.1016/j.jsv.2015.02.037
  3. On eigenvalue problem of bar structures with stochastic spatial stiffness variations vol.39, pp.4, 2011, https://doi.org/10.12989/sem.2011.39.4.541