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M.S. Hayalioglu* and M. Ulker#

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

doi:10.4203/ccp.50.8.1

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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

Abstract

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 50 INNOVATION IN COMPUTER METHODS FOR CIVIL AND STRUCTURAL ENGINEERING 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 doi:10.4203/ccp.50.8.1 purchase the full-text of this paper 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 Abstract 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £52 +P&P)
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