Extension of Heyman's and Foulkes' theorems to structures with linear segmentation

G. Rozvany, F. Spengemann, J. Menkenhagen, C. M. Wang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Heyman [Q. J. Mech. appl. Maths 12, 314-324 (1959)] and Foulkes [Proc. R. Soc. Lond. A233, 482-494 (1954)] introduced optimality criteria for structures with freely varying and segment-wise constant cross-sections, respectively. The present paper deals with an extension of the above theorems to structures in which the cross-sections vary linearly over each segment and in which there are no discontinuities in the cross-sectional area at segment boundaries. These geometrical restrictions have practical advantages in actual design problems. In addition, allowance for self-weight and dual formulation are discussed, and it is shown through several examples that the proposed optimality criteria are simpler to use than other optimization methods.

Original languageEnglish
Pages (from-to)87-106
Number of pages20
JournalInternational Journal of Mechanical Sciences
Volume31
Issue number2
DOIs
Publication statusPublished - 1989

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theorems
cross sections
allowances
constrictions
discontinuity
formulations
optimization

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Extension of Heyman's and Foulkes' theorems to structures with linear segmentation. / Rozvany, G.; Spengemann, F.; Menkenhagen, J.; Wang, C. M.

In: International Journal of Mechanical Sciences, Vol. 31, No. 2, 1989, p. 87-106.

Research output: Contribution to journalArticle

Rozvany, G. ; Spengemann, F. ; Menkenhagen, J. ; Wang, C. M. / Extension of Heyman's and Foulkes' theorems to structures with linear segmentation. In: International Journal of Mechanical Sciences. 1989 ; Vol. 31, No. 2. pp. 87-106.
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