CASIA OpenIR  > 09年以前成果
Optimum Design of Vibrating Cantilevers: A Classical Problem Revisited
Fei-Yue Wang
Source PublicationJournal of Optimization Theory and Applications
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
KeywordCantilever Beams Flexible Manipulators Optimum Design Fundamental Frequency Successive Iterations.
Document Type期刊论文
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.
Files in This Item: Download All
File Name/Size DocType Version Access License
Optimum Design of Vi(662KB)期刊论文作者接受稿开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Fei-Yue Wang]'s Articles
Baidu academic
Similar articles in Baidu academic
[Fei-Yue Wang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Fei-Yue Wang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: Optimum Design of Vibrating Cantilevers:A Classical Problem Revisited.pdf
Format: Adobe PDF
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.