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Impact-induced vibrations of a simple viscoelastic column model
Luleå tekniska universitet.
Luleå tekniska universitet.
1983 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 89, no 2, p. 261-272Article in journal (Refereed) Published
Abstract [en]

A two-degree-of-freedom model for an almost-axially impacted viscoelastic cantilever column is analyzed. The impact load is produced by a mass striking the free end of the column. Under the assumption of small displacements two second-order non-linear ordinary differential equations for the coupled longitudinal and transverse vibrations of the column are derived. In the absence of damping these equations of motion are reduced to Mathieu's equation through the use of a perturbation method. The excitation parameters are (i) the natural frequency of small amplitude transverse vibrations of the undamped column and (ii) the initial velocity of the end of the column

Place, publisher, year, edition, pages
1983. Vol. 89, no 2, p. 261-272
National Category
Applied Mechanics
Research subject
Solid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-6090DOI: 10.1016/0022-460X(83)90393-0ISI: A1983RB31800009Scopus ID: 2-s2.0-0020793133Local ID: 44ae26e0-259d-11dd-9e62-000ea68e967bOAI: oai:DiVA.org:ltu-6090DiVA, id: diva2:978967
Note
Godkänd; 1983; 20080519 (cira)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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