A mathematical model describing the forced oscillations of the vibration protection system with a pendulum damper of new design with a mobile suspension point is constructed. The model is a system of nonlinear differential equations. After the linearization of this system, the frequency response of the system is established. The model is used to derive a frequency formula for small natural oscillations of a pendulum. The main adjustment parameters of the damper that affect its optimal adjustment are established. A numerical analysis of the dynamic behavior of the vibration protection system shows the high efficiency of the pendulum damper. With the optimal adjustment of the damper parameters, the amplitudes of the forced oscillations of the carrying body can be reduced to one fifth the initial value.
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Translated from Prykladna Mekhanika, Vol. 58, No. 3, pp. 91–101, May–June 2022.
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Legeza, V.P. Dynamic Analysis of the Behavior of a Pendulum Damper with Mobile Suspension Point. Int Appl Mech 58, 327–335 (2022). https://doi.org/10.1007/s10778-022-01158-x
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DOI: https://doi.org/10.1007/s10778-022-01158-x