This paper adopts the newly structured δ function and displacement function. Using two adjacent transition points as two interval terminals while beams buckle makes the interval According to the Winkler’s beam buckling theory on elastic foundation, we present the energy solutions of beams and then the exact solutions of buckling load of simple supported beams on bi-moduli elastic foundation.
Stability of Beams on Bi-Moduli Elastic Foundation
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Feb. 3, 2000; final revision, Dec. 22, 2000. Associate Editor: S. Kyriakides.
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Liu , Z. H., Wang , L., and Pan , L. Z. (December 22, 2000). "Stability of Beams on Bi-Moduli Elastic Foundation ." ASME. J. Appl. Mech. July 2001; 68(4): 668–670. https://doi.org/10.1115/1.1360181
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