Abstract
The investigation reported herein analyzes the vibration of a uniform beam with hinged ends which are restrained. The beam is subjected to a linearly-varying distributed load which has a maximum intensity w 0 at the center and is released from rest when the load is suddenly removed. The motion is found to be inherently nonlinear, even for small vibrations, and there is dynamic mode-coupling. The mode frequencies are functionally related to initial conditions, particularly the amplitudes of all modes.
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McDonald, P.H. Nonlinear motion of a beam. Nonlinear Dyn 2, 187–198 (1991). https://doi.org/10.1007/BF00045723
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DOI: https://doi.org/10.1007/BF00045723