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Nonlinear engineering and robotics
Dynamic Effect of the Parametric Excitation Force
on an Autoparametric Vibration Absorber
L. Atepora, R. N. A. Akotob a Department of Mechanical Engineering, Cape Coast Technical University,
Cape Coast Poly Rd., P. O. Box AD 50, Cape Coast, Ghana
b School of Graduate Studies, University of Professional Studies, Accra,
New Rd, Madina, P. O. Box LG 149, Accra, Ghana
Аннотация:
Autoparametric vibration absorber is a machine invented to suppress vibration and has been
widely employed in many fields of engineering. Previous works reported by various researchers
have shown that dangerous motions, like the full rotation of the pendulum subsystem or chaotic
motion, can emerge due to small perturbations of initial conditions or system parameters. To
tackle this problem, a new model of the autoparametric vibration absorber with an attached
piezoelectric actuator exciter is proposed in this paper. Under the effects of parametric excitation
forces produced by the exciter, the vibration absorber will absorb more vibration energy. The
dynamic response of the new system is studied analytically using the method of multiple scales
and the results validated numerically using the continuation method and detailed bifurcation
analysis. The results show that the vibration amplitudes of the subsystems are reduced, the
region over which the absorption takes place gets widened and chaotic regions are removed with
the introduction of parametric excitation forces in contrast to that of the original model of the
autoparametric vibration absorber.
Ключевые слова:
autoparametric vibration absorber, bifurcation, broaden, chaos, parametric excitation
forces.
Поступила в редакцию: 16.07.2021 Принята в печать: 28.10.2021
Образец цитирования:
L. Atepor, R. N. A. Akoto, “Dynamic Effect of the Parametric Excitation Force
on an Autoparametric Vibration Absorber”, Rus. J. Nonlin. Dyn., 18:1 (2022), 137–157
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd783 https://www.mathnet.ru/rus/nd/v18/i1/p137
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