Optimum Design of Vibrating Cantilevers: A Classical Problem Revisited

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	Optimum Design of Vibrating Cantilevers: A Classical Problem Revisited
	Fei-Yue Wang
发表期刊	Journal of Optimization Theory and Applications
	1995
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/173211/14894
专题	09年以前成果
通讯作者	Fei-Yue Wang
推荐引用方式 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.