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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 50
Edited by: B.H.V. Topping and M.B. Leeming
Paper VIII.1

Optimization of Frames and Trusses under Natural Frequency Constraints

M.S. Hayalioglu* and M. Ulker#

*Civil Engineering Department, University of Dicle, Diyarbakir, Turkey
#Civil Engineering Department, University of Firat, Elazig, Turkey

Full Bibliographic Reference for this paper
M.S. Hayalioglu, M. Ulker, "Optimization of Frames and Trusses under Natural Frequency Constraints", in B.H.V. Topping, M.B. Leeming, (Editors), "Innovation in Computer Methods for Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 95-100, 1997. doi:10.4203/ccp.50.8.1
This paper demonstrates an optimization algorithm of frames and trusses considering natural frequency constraints. The fundamental natural frequency of a structure is required to be greater than or equal to its prescribed value. The optimality criterion method is used to develop a recursive relationship for the weight minimizing problem. This relationship and a single Lagrange multiplier are derived for member groups in the structure. A lumped mass model is adopted in the free vibration analyses and large non-structural masses are imposed on the structures. A number of design examples are presented to demonstrate the application of the algorithm. Optimum designs of the same structures are obtained for various frequency constraints.

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