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[52740] Artykuł: Dynamic stability of moderately thick beams and frames with the use of harmonic balance and perturbation methodsCzasopismo: Bulletin of The Polish Academy of Sciences: Technical Sciences Tom: 64, Zeszyt: 4, Strony: 739-750ISSN: 0239-7528 Wydawca: POLSKA AKAD NAUK, POLISH ACAD SCI, DIV IV TECHNICAL SCIENCES PAS, PL DEFILAD 1, WARSZAWA, 00-901, POLAND Opublikowano: Grudzień 2016 Autorzy / Redaktorzy / Twórcy
Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 20 Klasyfikacja Web of Science: Article ![]() ![]() Keywords: Bernoulli-Euler beam theory  Timoshenko beam theory  transverse shear deformation  rotatory inertia  natural frequency  critical force  areas of instability  |
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.