Dynamic stability of moderately thick beams and frames with the use of harmonic balance and perturbation methods

P. Obara , Wojciech Jerzy Gilewski


The objective of this paper is to determine dynamic instability areas of moderately thick beams and frames. The effect of moderate thickness on resonance frequencies is considered, with transverse shear deformation and rotatory inertia taken into account. These relationships are investigated using the Timoshenko beam theory. Two methods, the harmonic balance method (HBM) and the perturbation method (PM) are used for analysis. This study also examines the influence of linear dumping on induced parametric vibration. Symbolic calculations are performed in the Mathematica programme environment.
Author P. Obara - [Politechnika Swietokrzyska w Kielcach]
P. Obara,,
, Wojciech Jerzy Gilewski (FCE / ICE)
Wojciech Jerzy Gilewski,,
- The Institute of Civil Engineering
Journal seriesBulletin of the Polish Academy of Sciences, Technical Sciences, ISSN 0239-7528
Issue year2016
Publication size in sheets0.55
Keywords in EnglishBernoulli-Euler beam theory; Timoshenko beam theory; transverse shear deformation; rotatory inertia; natural frequency; critical force; areas of instability
ASJC Classification1702 Artificial Intelligence; 1705 Computer Networks and Communications; 2200 General Engineering; 1710 Information Systems; 3107 Atomic and Molecular Physics, and Optics
Languageen angielski
GILW.pdf 1.51 MB
Score (nominal)25
Score sourcejournalList
ScoreMinisterial score = 20.0, 03-02-2020, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 03-02-2020, ArticleFromJournal
Publication indicators WoS Citations = 10; Scopus Citations = 10; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 1.229; WoS Impact Factor: 2016 = 1.156 (2) - 2016=1.238 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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