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E. Salajegheh, "Efficient Optimum Design of Structures with Frequency Response Constraints using High Quality Approximation", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 107-113, 1996. doi:10.4203/ccp.40.5.1

Abstract

An efficient technique is presented for optimum design of structures with both natural frequency and complex frequency response constraints. The main idea is to reduce the number of dynamic analysis by introducing high quality approximations. Eigenvalues are approximated using the Rayleigh quotient. Eigenvectors are also approximated for the evaluation of eigenvalues and frequency responses. A two point approximation is used to approximate the functions under consideration. After the substitution of the approximate functions into the original optimization problem, the dynamic analysis of the structure is not necessary in the specified move limits. The sensitivities of the eigenvalues and eigenvectors are calculated analytically. In the problems under consideration repeated eigenvalues occur. Thus the sensitivities are evaluated for repeated eigenvalues.

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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: 40 ADVANCES IN OPTIMIZATION FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper V.1 Efficient Optimum Design of Structures with Frequency Response Constraints using High Quality Approximation E. Salajegheh Civil Engineering Department, University of Kerman, Kerman, Iran doi:10.4203/ccp.40.5.1 purchase the full-text of this paper Full Bibliographic Reference for this paper E. Salajegheh, "Efficient Optimum Design of Structures with Frequency Response Constraints using High Quality Approximation", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 107-113, 1996. doi:10.4203/ccp.40.5.1 Abstract An efficient technique is presented for optimum design of structures with both natural frequency and complex frequency response constraints. The main idea is to reduce the number of dynamic analysis by introducing high quality approximations. Eigenvalues are approximated using the Rayleigh quotient. Eigenvectors are also approximated for the evaluation of eigenvalues and frequency responses. A two point approximation is used to approximate the functions under consideration. After the substitution of the approximate functions into the original optimization problem, the dynamic analysis of the structure is not necessary in the specified move limits. The sensitivities of the eigenvalues and eigenvectors are calculated analytically. In the problems under consideration repeated eigenvalues occur. Thus the sensitivities are evaluated for repeated eigenvalues. 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 £66 +P&P)
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