Free Access
Volume 9, February 2003
Page(s) 217 - 230
Published online 15 September 2003
  1. L.C. Andrews, Elementary Partial Differential Equations with Boundary Value Problems. Academic Press, Orlando, Florida (1986). [Google Scholar]
  2. L. Collatz, Eigenwertaufgaben Mit Technischen Anwendungen. Akademische Verlagsgesellschaft, Geest Formula Portig K.-G., Leipzig (1963) 41-42 (in German). [Google Scholar]
  3. S.J. Cox, The Two Phase Drum with the Deepest Base Note. Japan J. Ind. Appl. Math. 8 (1991) 345-355. [CrossRef] [Google Scholar]
  4. S.J. Cox and C.M. McCarthy, The Shape of the Tallest Column. SIAM J. Math. Anal. 29 (1998) 1-8. [CrossRef] [MathSciNet] [Google Scholar]
  5. C.L. Dym, On some recent approaches to structural optimization. J. Sounds & Vibration 32 (1974) 49-70. [CrossRef] [Google Scholar]
  6. D.B. Hinton, Eigenfunction expansions for a singular eigenvalue problem with eigenparameter in the boundary condition. SIAM J. Math. Anal. 12 (1981) 572-584. [CrossRef] [MathSciNet] [Google Scholar]
  7. D.B. Hinton, An expansion theorem for an eigenvalue problem with eigenvalue parameter in the boundary condition. Quart. J. Math. Oxford 2 (1979) 33-42. [CrossRef] [Google Scholar]
  8. J.B. Keller and F.I. Niordson, The tallest column. J. Math. Mech. 16 (1966) 433-446. [MathSciNet] [Google Scholar]
  9. G. Polya and G. Szego, Isoperimetric Inequalites in Mathematical Physics. Princeton University Press, Princeton, NJ, Ann. Math. Stud. 27 (1951). [Google Scholar]
  10. D. Porter and D. Stirling, Integral Equations. Cambridge University Press, Cambridge, UK (1990). [Google Scholar]
  11. W. Rudin, Principles of Mathematical Analysis, 3rd Ed. McGraw-Hill, New York (1976). [Google Scholar]
  12. J.E. Taylor, Minimum mass bar for axial vibrations at specified natural frequency. AIAA J. 5 (1967) 1911-1913. [CrossRef] [Google Scholar]
  13. J.E. Taylor, The strongest column: The energy approach. J. Appl. Mech. 34 (1967) 486-487. [Google Scholar]
  14. J.E. Taylor and C.Y. Liu, On the optimal design of columns. AIAA J. 6 (1968) 1497-1502. [CrossRef] [Google Scholar]
  15. M.J. Turner, Design of minimum mass structures with specified natural frequencies. AIAA J. 5 (1967) 406-412. [CrossRef] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.