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[94500] Artykuł: On fractional forced oscillatorCzasopismo: AIP Conference Proceedings Tom: 2077, Zeszyt: 1, Strony: 1-9ISSN: 0094-243X ISBN: 978-0-7354-1805-9 Wydawca: AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA Opublikowano: Luty 2019 Seria wydawnicza: AIP Conference Proceedings Autorzy / Redaktorzy / Twórcy Grupa MNiSW: Publikacje w czasopismach spoza listy 2019 Punkty MNiSW: 5 Klasyfikacja Web of Science: Proceedings Paper ![]() ![]() ![]() |
Fractional calculus is widely used in formulation of constitutive relations for viscoelastic materials. Problems of vibration of continuous structures, when such constitutive relations are used, leads to fractional differential equations similar to the equation of forced, damped, harmonic oscillator. In this paper two fractional oscillators are investigated (corresponding to two constitutive relations of viscoelastic materials). Closed-form solutions are obtained using Laplace Transform method, resonance curves for these oscillators are calculated numerically, and influence on its shape of the model parameters are analyzed.