A note on the strongest fixed-fixed column

Myers, M. K.; Spillers, W. R.

doi:10.1090/qam/860907

Authors: M. K. Myers and W. R. Spillers
Journal: Quart. Appl. Math. 44 (1986), 583-588
MSC: Primary 49G05; Secondary 73K05
DOI: https://doi.org/10.1090/qam/860907
MathSciNet review: 860907
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is argued that the subsequent solutions generated in response to the 1962 Tadjbakhsh-Keller shape for the optimal fixed-fixed column are smooth approximations of that singular shape.

Ph. G. Kirmser and R. R. Hu, The strongest fixed-point column, unpublished manuscript, dated May 20, 1983 (Kansas State University Engineering Experiment Station Report #160), to be presented at the forthcoming 19th Midwestern Mechanics Conference

I. Tadjbakhsh and J. B. Keller, Strongest columns and isoperimetric inequalities for eigenvalues, Trans. ASME Ser. E. J. Appl. Mech. 29 (1962), 159–164. MR 137381

Niels Olhoff and S. H. Rasmussen, On single and bimodal optimum buckling of clamped columns, Internat. J. Structures 13, 605–614 (1977)

E. F. Masur, Optimal structural design under multiple eigenvalue constraints, Internat. J. Solids Structures 20 (1984), no. 3, 211–231. MR 735699, DOI https://doi.org/10.1016/0020-7683%2884%2990034-9
L. È. Èl′sgol′c, Calculus of variations, Pergamon Press Ltd., London-Paris-Frankfurt, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1962. MR 0133032

M. K. Myers and S. L. Chuang, Uniform asymptotic approximations for duct acoustic modes in a thin boundary layer flow, AIAA J. 22, No. 9, 1234–1241 (September 1984)