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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 106
PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by:
Paper 251
Advances in Optimal Analysis of Structures: Regular Structures, Near-Regular Structures, Optimal Analysis and Design, and Modal Analysis A. Kaveh1 and I. Shojaei2
1School of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran
A. Kaveh, I. Shojaei, "Advances in Optimal Analysis of Structures: Regular Structures, Near-Regular Structures, Optimal Analysis and Design, and Modal Analysis", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 251, 2014. doi:10.4203/ccp.106.251
Keywords: optimal analysis, regular and near-regular structures, graph products, optimal design, modal analysis..
Summary
In this paper some recent developments on optimal analysis of structures are
presented. The methods include both static and dynamic solutions where graph
products, sub-structuring methods, finite difference methods and manipulating the
stiffness matrices are efficiently employed to solve a problem. In all problems the
quick solution of tri-diagonal, block tri-diagonal and two-block matrices are utilized
to solve the problems. The problems studied are classified as four types including
the analysis of regular structures, analysis of near-regular structures, simultaneous
optimal analysis and design and a new modal analysis. All problems are studied and
detailed in separate parts.
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