OPTIMIZATION OF VARIATIONAL METHODS

Lord Rayleigh proposed his now classical method (based on a one-term deflection function) in 1870. On the other hand, he suggested in 1894 the possibility of optimizing the eigenvalues (natural frequencies or buckling loads) by minimizing them with respect to an exponential parameter contained in the coordinate function. This optimization approach has become increasingly popular in the last decade an it has been extended to other variational methods and bounding conditions. This paper reviews recent developments in this area which consists, essentially, a nonlinear optimization process of the coordinate functions in a global sense. The technique is applicable in a large variety of applied mechanics problems of considerable interest to ocean engineers dealing with the analysis of mechanical systems.

  • Supplemental Notes:
    • Ocean Engng, v 22 n 3, April 1995, p 235 [16 p, 84 ref, 2 fig]
  • Authors:
    • Laura, P A
  • Publication Date: 1995

Language

  • English

Subject/Index Terms

Filing Info

  • Accession Number: 00710985
  • Record Type: Publication
  • Source Agency: British Maritime Technology
  • Files: TRIS
  • Created Date: Aug 14 1995 12:00AM