Stability of an autoparametric pendulum system with impacts

Panagiotis Alevras; Roman Bobryk; Daniil Yurchenko

doi:10.1016/j.jsv.2014.08.003

Stability of an autoparametric pendulum system with impacts

Panagiotis Alevras, Roman Bobryk, Daniil Yurchenko

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

This paper considers a small oscillatory motion of a pendulum suspended on a single-degree-of-freedom system subjected to a narrow band excitation and impacts due to a barrier located at a certain distance from the system׳s equilibrium position. The influence of a impacting motion of the single-degree-of-freedom system onto the instability boundaries of the pendulum is investigated. It is demonstrated that the impacting motion significantly changes the shape of the instability domain compared to the traditional one inherent to the Mathieu equation.

Original language	English
Pages (from-to)	7233–7247
Number of pages	15
Journal	Journal of Sound and Vibration
Volume	333
Issue number	26
DOIs	https://doi.org/10.1016/j.jsv.2014.08.003
Publication status	Published - 22 Dec 2014

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title = "Stability of an autoparametric pendulum system with impacts",

abstract = "This paper considers a small oscillatory motion of a pendulum suspended on a single-degree-of-freedom system subjected to a narrow band excitation and impacts due to a barrier located at a certain distance from the system׳s equilibrium position. The influence of a impacting motion of the single-degree-of-freedom system onto the instability boundaries of the pendulum is investigated. It is demonstrated that the impacting motion significantly changes the shape of the instability domain compared to the traditional one inherent to the Mathieu equation.",

author = "Panagiotis Alevras and Roman Bobryk and Daniil Yurchenko",

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doi = "10.1016/j.jsv.2014.08.003",

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AU - Alevras, Panagiotis

AU - Bobryk, Roman

AU - Yurchenko, Daniil

PY - 2014/12/22

Y1 - 2014/12/22

N2 - This paper considers a small oscillatory motion of a pendulum suspended on a single-degree-of-freedom system subjected to a narrow band excitation and impacts due to a barrier located at a certain distance from the system׳s equilibrium position. The influence of a impacting motion of the single-degree-of-freedom system onto the instability boundaries of the pendulum is investigated. It is demonstrated that the impacting motion significantly changes the shape of the instability domain compared to the traditional one inherent to the Mathieu equation.

AB - This paper considers a small oscillatory motion of a pendulum suspended on a single-degree-of-freedom system subjected to a narrow band excitation and impacts due to a barrier located at a certain distance from the system׳s equilibrium position. The influence of a impacting motion of the single-degree-of-freedom system onto the instability boundaries of the pendulum is investigated. It is demonstrated that the impacting motion significantly changes the shape of the instability domain compared to the traditional one inherent to the Mathieu equation.

U2 - 10.1016/j.jsv.2014.08.003

DO - 10.1016/j.jsv.2014.08.003

M3 - Article

SN - 0022-460X

VL - 333

SP - 7233

EP - 7247

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 26

ER -

Stability of an autoparametric pendulum system with impacts

Abstract

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