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Optimum Design of Vibrating Cantilevers: A Classical Problem Revisited
Fei-Yue Wang
1995
发表期刊Journal of Optimization Theory and Applications
卷号84期号:3页码:635-652
摘要-   ;
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.
关键词Cantilever Beams Flexible Manipulators Optimum Design Fundamental Frequency Successive Iterations.
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/13394
专题09年以前成果
通讯作者Fei-Yue Wang
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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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