Beneficial effects of steps on the free vibration characteristics of beams
About: This article is published in Journal of Sound and Vibration.The article was published on 1987-11-08. It has received 31 citations till now.
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103 citations
TL;DR: In this paper, an analytical method is proposed to calculate the frequencies of beams with up to three step changes in cross-section, combining the classical clamped, pinned, sliding, free, general, and degenerate types of elastic end supports.
90 citations
TL;DR: In this article, the flexural-free vibration of a cantilevered beam with multiple cross-section steps is investigated theoretically and experimentally, and the convergence of several theoretical approaches and their effectiveness as analysis and design methods for multiple-stepped beams are also discussed.
89 citations
61 citations
References
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TL;DR: In this paper, the free vibrations of elastic beams with nonuniform characteristics are investigated theoretically by a new method, which combines the advantages of a finite element approach and of a Rayleigh-Ritz analysis.
64 citations
TL;DR: In this article, the frequency values obtained by using two-degree-of-freedom per node and four-degree of freedom per node elements for uniform, stepped, and continuous beams are compared for various boundary conditions to demonstrate the superior performance of the four degree-offreedom per-node element.
27 citations