Optimum design of vibrating cantilevers: A classical problem revisited
type: Item
instance of: scholarly article
title: Optimum design of vibrating cantilevers: A classical problem revisited
zbMATH Open document ID: 0830.73049
DOI: 10.1007/BF02191989
author: Yanyan Li
published in: Journal of Optimization Theory and Applications
publication date: 1995-07-03T00:00:00Z
review text: The problem, originally formulated and solved by \textit{B. L. Karihaloo} and \textit{F. I. Niordson} [ibid. 11, 638-654 (1973; Zbl 0256.73021)] 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, we give 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. Also some obvious numerical errors in the original paper have been identified and corrected.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 769799
zbMATH Keywords: flexible manipulators
zbMATH Keywords: fundamental vibration frequency
zbMATH Keywords: iteration schemes
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 769799