Dynamic stability of moderately thick beams and frames with the use of harmonic balance and perturbation methods
P. Obara , Wojciech Jerzy Gilewski
AbstractThe 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.
|Journal series||Bulletin of the Polish Academy of Sciences, Technical Sciences, ISSN 0239-7528|
|Publication size in sheets||0.55|
|Keywords in English||Bernoulli-Euler beam theory; Timoshenko beam theory; transverse shear deformation; rotatory inertia; natural frequency; critical force; areas of instability|
|ASJC Classification||; ; ; ;|
|Score|| = 20.0, 03-02-2020, ArticleFromJournal|
= 25.0, 03-02-2020, ArticleFromJournal
|Publication indicators||= 10; = 10; : 2016 = 1.229; : 2016 = 1.156 (2) - 2016=1.238 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.