Optimal Design Of Structures Subject To Nonconservative Forces

  • U. T. Ringertz
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 43)

Abstract

The essential difficulties with optimization of nonconservative systems are considered. Model problems are used to show that the functions of the optimization problem may be nonsmooth and possibly also discontinuous functions of the design variables. It is further demonstrated that considering a slightly more complicated structural model with damping may simplify design optimization. Using a model with damping, it is possible to pose the optimization problem in the form of matrix inequalities. The resulting problem may then be solved using a barrier method with smooth objective and constraint functions.

Keywords

Optimal Design Eigenvalue Problem Critical Load Stability Constraint Complex Conjugate Pair 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A. P. Seyranian and P. Pedersen. On interaction of eigenvalue branches in nonconservative multi-parameter problems. DCAMM report 478, Department of Solid Mechanics, The Technical University of Denmark, 1993.Google Scholar
  2. 2.
    N. Olhoffand J. E. Taylor. On structural optimization. J. Appl. Mech., 50:1139–1151, 1983.CrossRefGoogle Scholar
  3. 3.
    M. Zyczkowski and A. Gajewski. Optimal structural design under stability constraints. In Collapse: The buckling of structures in theory and practice. Cambridge University Press, 1982.Google Scholar
  4. 4.
    W. Gutkowski, O. Mahrenholtz, and M. Pyrz. Minimum weight design of structures under nonconservative forces. In NATO ASI E 231, pages 1087–1099, 1991.Google Scholar
  5. 5.
    U. T. Ringertz. On the design of Beck’s column. Structural Optimization, 8:120–124, 1994.CrossRefGoogle Scholar
  6. 6.
    U. T. Ringertz. On structural optimization with aeroelasticity constraints. Structural Optimization, 8:16–23, 1994.CrossRefGoogle Scholar
  7. 7.
    S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan. Linear matrix inequalities in system and control theory. SI AM, 1994.MATHGoogle Scholar
  8. 8.
    Y. Nesterov and A. Nemirovsky. Interior point polynomial methods in convex programing, volume 13 of Studies in applied mathematics. SI AM, 1993.Google Scholar
  9. 9.
    U. T. Ringertz. An algorithm for optimization of nonlinear shell structures. Int. J. Num. Meth. Eng.,38:299–3141995.MATHCrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • U. T. Ringertz
    • 1
  1. 1.Department of Lightweight StructuresRoyal Institute of TechnologyStockholmSweden

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