Abstract
This paper presents a theoretical and experimental study of the dynamic stability of straight uniform beams under lateral parametric excitation. The calculation of the boundaries of stability is based on the finitization of the problem by means of the Rayleigh-Ritz method and application of the small parameter stability criterion to the resulting periodic linear system. An experimental study was carried out on a cantilever beam excited by base motion acting in the largest plane of rigidity of the beam. A close correlation has been established between the calculated and measured boundaries of instability by taking into account the non-linear damping characteristics exhibited by the beams tested.
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