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Optimum Design of Vibrating Cantilevers: A Classical Problem Revisited
Fei-Yue Wang
Source PublicationJournal of Optimization Theory and Applications
1995
Volume84Issue:3Pages:635-652
Abstract-   ;
Optimum design of vibrating cantilevers is a classical problem
widely used in the literature and textbooks in structural optimization.
The problem, originally formulated and solved by Karihaloo and
Niordson (Ref. 5), was to find the optimal beam shape that will
maximize the fundamental vibration frequency of a cantilever. Upon
reexamination of the problem, it has been found that the original
analysis and solution procedure can be simplified and improved substantially.
Specifically, the time-consuming inner loop devised for solving
the Lagrange multiplier in the original work has been proved to be
totally unnecessary and thus should not be considered in the problem
solution. This conclusion has ted to a new set of simplified equations
for the construction of iteration schemes. New asymptotic expressions
for the optimum design solution have been obtained and verified by
numerical results. Numerical analysis has shown a significant improvement
in convergence rate by the proposed new procedure. Also some
obvious numerical errors in the original paper have been identified and
corrected.
KeywordCantilever Beams Flexible Manipulators Optimum Design Fundamental Frequency Successive Iterations.
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/13394
Collection09年以前成果
Corresponding AuthorFei-Yue Wang
Recommended Citation
GB/T 7714
Fei-Yue Wang. Optimum Design of Vibrating Cantilevers: A Classical Problem Revisited[J]. Journal of Optimization Theory and Applications,1995,84(3):635-652.
APA Fei-Yue Wang.(1995).Optimum Design of Vibrating Cantilevers: A Classical Problem Revisited.Journal of Optimization Theory and Applications,84(3),635-652.
MLA Fei-Yue Wang."Optimum Design of Vibrating Cantilevers: A Classical Problem Revisited".Journal of Optimization Theory and Applications 84.3(1995):635-652.
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