Forced vibrations of a beam with a non-linear dynamic vibration absorber
1983; Elsevier BV; Volume: 88; Issue: 4 Linguagem: Inglês
10.1016/0022-460x(83)90657-0
ISSN1095-8568
Autores Tópico(s)Mechanical Engineering and Vibrations Research
ResumoForced vibrations of a simply supported beam having an attached non-linear dynamic vibration absorber and excited by sinusoidal motion of its supporting base are investigated analytically. The absorber produces a hardening spring force in the form of a cubic curve. The governing partial differential equation reduces to the well-known Duffing equation, which is solved by the harmonic balance method. Besides the simple harmonic motion solution, the third order superharmonic and one-third order subharmonic are obtained. The results of the present analysis are applied to a magnetic non-linear dynamic absorber, and the optimum tuning and optimum damping for the absorber are obtained by the simplex method.
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