Print Email Facebook Twitter Instability of an oscillator moving along a thin ring on a viscoelastic foundation Title Instability of an oscillator moving along a thin ring on a viscoelastic foundation Author Lu, T. (TU Delft Offshore Engineering) Metrikine, A. (TU Delft Offshore Engineering; TU Delft Applied Mechanics) Date 2017 Abstract The stability of an oscillator uniformly moving along a thin ring that is connected to an immovable axis by a distributed viscoelastic foundation has been studied. The dynamic reaction of the ring to the oscillator is represented by a frequency and velocity dependent equivalent stiffness. The characteristic equation for the vibration of the oscillator is obtained. It is shown that this equation can have roots with a positive real part, which imply the exponential increase of the amplitude of the oscillator’s vibration in time, i.e. instability. The critical velocity after which instability can occur is determined. With the help of the D-decomposition method, the instability domains are found in the space of the system parameters. Parametric study of the stability domains is carried out. Subject Thin ringviscoelastic foundationmoving oscillatorinstability To reference this document use: http://resolver.tudelft.nl/uuid:e5aca022-a283-4ff8-a2b9-f12abc07c0b7 DOI https://doi.org/10.1016/j.proeng.2017.09.323 ISSN 1877-7058 Source Procedia Engineering, 199, 2555-2560 Event 10th international conference on recent advances in structural dynamics, 2010-07-12 → 2010-07-14, Faculty of Civil and Industrial Engineering of Sapienza University of Rome, Roma, Italy Part of collection Institutional Repository Document type journal article Rights © 2017 T. Lu, A. Metrikine Files PDF 1_s2.0_S1877705817338080_main.pdf 651.96 KB Close viewer /islandora/object/uuid:e5aca022-a283-4ff8-a2b9-f12abc07c0b7/datastream/OBJ/view