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Eigenvalue sensitivity analysis of stiffened plates with respect to the location of stiffeners

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Abstract

This paper formulates the eigenvalue sensitivity of a stiffened plate with respect to stiffener location; the analysis is based on the generalized Rayleigh quotient of the combined platebeam system. The results show that the eigenvalue sensitivity is proportional to the force between the plate and the stiffener as well as to the slope of the eigenfunction at the interface between the plate and the stiffener.

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References

  • Grall, B.; Gurdal, Z. 1992: Structural analysis and design of geodesically stiffened reference: composite panels with variable stiffener distribution.NASA-CR-190608

  • Hu, H.C. 1984:Variational principles of theory of elasticity with applications. Beijing: Science Press

    Google Scholar 

  • Jaunky, N.; Knight, N.F., Jr. 1976: Optimal design of gridstiffened composite panels using global and local buckling analysis.Proc. 37-th AIAA/ASME/ASCE/ASC, Structures, Structural Dynamics, and Materials Conf., Part 4 (held in Salt Lake City, UT), pp. 2315–2325

  • Kataoka Filho, M. 1997:Optimization of nonhomogeneous facesheets in composite sandwich plates. Ph.D. Dissertation, University of Toronto

  • Liu, Z.S. 1997: Eigenpair sensitivity of membrane with respect to perturbation of boundary shape.J. Eng. Opt. (in press)

  • Liu, Z.S.; Hinton, E. 1997: Eigenvalue sensitivity of plane frame with respect to joint locations.J. Sound & Vib. (submitted)

  • Liu, Z.S.; Hu, H.C. 1997: Eigenpair derivative with respect to boundary shape.AIAA J. 35, 167–171

    Google Scholar 

  • Liu, Z.S.; Hu, H.C.; Wang, D.J. 1996: A new method for eigenvalue sensitivity with respect to support locations.AIAA J. 34, 864–866

    Google Scholar 

  • Liu, Z.S.; Mote, C.D. 1997: A new discrete approach to eigenvalue sensitivity with respect to constraint locations.J. Sound & Vib. 204, 623–630

    Google Scholar 

  • Tessler, A.; Hughes, T.J.R. 1985: A three node Mindlin plate element with improved transverse shear.Comp. Meth. Appl. Mech. & Eng. 50, 71–101

    Google Scholar 

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Authors and Affiliations

  1. The Institute for Aerospace Studies, University of Toronto, 4925 Dufferin Street, M3H 5T6, Downsview, Ontario, Canada

    Z. -S. Liu, J. S. Hansen & D. C. D. Oguamanam

Authors
  1. Z. -S. Liu
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  2. J. S. Hansen
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  3. D. C. D. Oguamanam
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Communicated by J. Sobieski

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Liu, Z.S., Hansen, J.S. & Oguamanam, D.C.D. Eigenvalue sensitivity analysis of stiffened plates with respect to the location of stiffeners. Structural Optimization 16, 155–161 (1998). https://doi.org/10.1007/BF01202826

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  • DOI: https://doi.org/10.1007/BF01202826

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