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On interaction of vibrating beam with essentially nonlinear absorber. (English) Zbl 1258.74092

Summary: The paper deals with interaction of elastic beam with essentially nonlinear vibration absorber. Forced vibrations of the beam are described by 2DOF model. We treat the motions favorable for vibration absorption as nonlinear modes in a configuration space and compute them by a modification of Rausher method. Stability of these modes is analyzed numerically with the help of the Floquet theory.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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