Forced oscillations of a beam are described by two-degrees-of-freedom discrete model, while an interaction of the beam and essentially nonlinear absorber is characterized by three-degrees-of-freedom model. We analyze motions of the beam which facilitate vibrations absorption presented in the form of nonlinear normal vibration modes in configuration space. The Rauscher method is used to investigate the motions of the beam. Stability of these motions is analyzed with the help of the Lyapunov method.
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Translated from Problemy Prochnosti, No. 3, pp. 97–106, May–June, 2009.
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Avramov, K.V., Gendelman, O.V. Forced oscillations of beam with essentially nonlinear absorber. Strength Mater 41, 310–317 (2009). https://doi.org/10.1007/s11223-009-9125-4
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DOI: https://doi.org/10.1007/s11223-009-9125-4