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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 60
OPTIMIZATION AND CONTROL IN CIVIL AND STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping and B. Kumar
Paper IV.3

Optimum Design of Plate Structures with Frequency Constraints using Two-Point Approximation

E. Salajegheh and M.R. Torkamani

Civil Engineering Department, University of Kerman, Iran

Full Bibliographic Reference for this paper
E. Salajegheh, M.R. Torkamani, "Optimum Design of Plate Structures with Frequency Constraints using Two-Point Approximation", in B.H.V. Topping, B. Kumar, (Editors), "Optimization and Control in Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 79-88, 1999. doi:10.4203/ccp.60.4.3
Abstract
Optimum design of plate structures is achieved while the design constraints are frequency constraints. To reduce the computational cost of optimization, the frequencies are approximated using the Rayleigh quotient. The key to the efficiency of the method is the creation of a high quality approximation. To achieve this all the quantities in the Rayleigh quotient are approximated by a two point function approximation. The approximation is carried out by using some intermediate variables. The design variables are considered as the thickness of plate elements, while the intermediate variables are taken as thickness and bending stiffness of the elements. Examples are presented and the results are compared with several other approximation methods.

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