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Dynamics of an elastic beam and a jumping oscillator moving in the longitudinal direction of the beam

Dynamics of an elastic beam and a jumping oscillator moving in the longitudinal direction of the beam
Dynamics of an elastic beam and a jumping oscillator moving in the longitudinal direction of the beam
An oscillator of two lumped masses linked through a vertical spring moves forward in the horizontal direction, initially at a certain height, over a horizontal Euler beam and descends on it due to
its own weight. Vibration of the beam and the oscillator is excited at the onset of the ensuing impact. The impact produced by the descending oscillator is assumed to be either perfectly elastic or perfectly plastic. If the impact is perfectly elastic, the oscillator bounces off and hits the beam a number of times as it moves forward in the longitudinal direction of the beam, exchanging its dynamics with that of the beam. If the impact is perfectly plastic, the oscillator (initially) sticks to the beam after its first impact and then may separate and reattach to the beam as it moves along the beam. Further events of separation and
reattachment may follow. This interesting and seemingly simple dynamic problem actually displays rather complicated dynamic behaviour and has never been studied in the past. It is found through simulated numerical examples that multiple events of separation and impact can take place for both perfectly elastic impact and perfectly plastic impact (though more of these in the case of perfectly elastic impact) and the dynamic response of the oscillator and the beam looks noisy when there is an event of impact because impact excites higher-frequency components. For the perfectly plastic impact, the oscillator can experience multiple events of consecutive separation from the beam and subsequent reattachment to it.
369-382
Baeza, L.
09dc5565-ad4b-49af-a104-d4b6ad28e1b0
Ouyang, H.
1a48b975-cdc7-47af-896b-ca8727c7d7c1
Baeza, L.
09dc5565-ad4b-49af-a104-d4b6ad28e1b0
Ouyang, H.
1a48b975-cdc7-47af-896b-ca8727c7d7c1

Baeza, L. and Ouyang, H. (2008) Dynamics of an elastic beam and a jumping oscillator moving in the longitudinal direction of the beam. Structural Engineering and Mechanics, 30 (3), 369-382.

Record type: Article

Abstract

An oscillator of two lumped masses linked through a vertical spring moves forward in the horizontal direction, initially at a certain height, over a horizontal Euler beam and descends on it due to
its own weight. Vibration of the beam and the oscillator is excited at the onset of the ensuing impact. The impact produced by the descending oscillator is assumed to be either perfectly elastic or perfectly plastic. If the impact is perfectly elastic, the oscillator bounces off and hits the beam a number of times as it moves forward in the longitudinal direction of the beam, exchanging its dynamics with that of the beam. If the impact is perfectly plastic, the oscillator (initially) sticks to the beam after its first impact and then may separate and reattach to the beam as it moves along the beam. Further events of separation and
reattachment may follow. This interesting and seemingly simple dynamic problem actually displays rather complicated dynamic behaviour and has never been studied in the past. It is found through simulated numerical examples that multiple events of separation and impact can take place for both perfectly elastic impact and perfectly plastic impact (though more of these in the case of perfectly elastic impact) and the dynamic response of the oscillator and the beam looks noisy when there is an event of impact because impact excites higher-frequency components. For the perfectly plastic impact, the oscillator can experience multiple events of consecutive separation from the beam and subsequent reattachment to it.

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More information

Published date: 2008
Additional Information: cited By 5
Organisations: Dynamics Group

Identifiers

Local EPrints ID: 411477
URI: https://eprints.soton.ac.uk/id/eprint/411477
PURE UUID: 7adede28-7a79-448f-b078-bb48a62583eb
ORCID for L. Baeza: ORCID iD orcid.org/0000-0002-3815-8706

Catalogue record

Date deposited: 20 Jun 2017 16:31
Last modified: 29 Oct 2019 01:29

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