Abstract
In this chapter, we continue our discussion on nonlinear vibrations by concentrating on chaotic vibrations of beams. Study of chaos is an important branch of nonlinear vibrations that has attracted a great deal of attention in recent years as one of the fastest-growing disciplines in science, mathematics, and engineering. Early study of chaos in structural dynamics was associated with buckled elastic beams. Nonlinear vibrations of buckled beams were investigated by Eisley (1964) and by Tseng and Dugundji (1971). Chaos was observed experimentally and confirmed numerically by the latter authors, although the name was not mentioned. Later, chaos in beams buckled by nonlinear magnetic body forces was investigated by Moon and described in his books (1987, 1992). A systematic account of nonlinear dynamics and chaos has also been given in the books by Guckenheimer and Holmes (1983) and by Thompson and Stewart (1986).
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© 1996 Springer-Verlag New York, Inc.
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Yu, YY. (1996). Chaotic Vibrations of Beams. In: Vibrations of Elastic Plates. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2338-2_9
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DOI: https://doi.org/10.1007/978-1-4612-2338-2_9
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