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|Title:||Extension of Heyman's and Foulkes' theorems to structures with linear segmentation|
|Source:||Rozvany, G.I.N.,Spengemann, F.,Menkenhagen, J.,Wang, C.M. (1989). Extension of Heyman's and Foulkes' theorems to structures with linear segmentation. International Journal of Mechanical Sciences 31 (2) : 87-106. ScholarBank@NUS Repository.|
|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. © 1989.|
|Source Title:||International Journal of Mechanical Sciences|
|Appears in Collections:||Staff Publications|
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