Advertisement

Optimal Design for Stability under Dissipative, Gyroscopic, or Circulatory Loads

  • R. H. Plaut
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

This paper concerns the optimization of elastic structures with regard to their stability under applied loads. The loads are assumed to be autonomous (they do not depend explicitly on time) and may be circulatory (velocity-independent, not derivable from a potential), gyroscopic (velocity-dependent, derivable from a potential), or dissi-pative (velocity-dependent, not derivable from a potential), in addition to the classical conservative loads.

Keywords

Optimal Design Critical Load Instability Mode Adjoint Problem Follower Load 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Plaut, R. H.: Elastic Minimum-Weight Design for Specified Critical Load. SIAM J. Appl. Math. 25, 361–371 (1973).CrossRefMATHMathSciNetGoogle Scholar
  2. 2.
    Anderson, G. L.: Application of a Variational Method to Dissipative, Non-Conservative Problems of Elastic Stability. J. Sound Vib. 27, 279–296 (1973).CrossRefMATHGoogle Scholar
  3. 3.
    Karihaloo, B. L., Niordson, P. I.: Optimum Design of Vibrating Cantilevers. J. Optim. Theory Appls. 11, 638–654 (1973).CrossRefMATHMathSciNetGoogle Scholar
  4. 4.
    Keller, J. B.: The Shape of the Strongest Column. Arch. Rat. Mech. Anal. 5, 275–285 (1960).CrossRefGoogle Scholar
  5. 5.
    Prager, W., Taylor, J. E.: Problems of Optimal Structural Design. J. Appl. Mech. 35, 102–106 (1968).CrossRefMATHGoogle Scholar
  6. 6.
    Shieh, R. C.: Energy and Variational Principles for Generalized (Gyroscopic) Conservative Problems. Int. J. Non-Linear Mechs. 5, 495–509 (1971).CrossRefMathSciNetGoogle Scholar
  7. 7.
    Niordson, P. L: On the Optimal Design of a Vibrating Beam. Quart. Appl. Math. 23, 47–53 (1965).MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag, Berlin/Heidelberg 1975

Authors and Affiliations

  • R. H. Plaut
    • 1
  1. 1.Brown UniversityProvidenceUSA

Personalised recommendations