Application of Green's matrix method in vibration problems of Timoshenko beams

• Autorzy: Zamorska I.
• Języki publikacji: EN

Abstrakty

EN

In the present paper, a Green's matrix used to solve vibration problems of Timoshenko beams is determined. The problem formulation includes beam vibrations which are described by differential equations with variable parameters. To determine the Green's matrix, the power series method was used.

Słowa kluczowe

EN

Green's matrix; Timoshenko beam; vibrations

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2011
• Tom: Vol. 10, nr 2
• Strony: 243--248
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Zamorska I.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

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• [3] Esmailzadeh E., Ohadi A.R., Vibration and stability analysis of non-uniform Timoshenko beams under axia and distributed tangential loads, Journal of Sound and Vibrations 2000, 236(3), 443-456.
• [4] Sen Young Lee, Shueei Muh Lin, Exact vibration solutions for non-uniform Timoshenko beams with attachments, AIAA Journal 1992, 30(12).
• [5] Ruta P., The application of Chebyshev polynomials to the solution of the nonprismatic Timoshenko beam vibration problem, Journal of Sound and Vibrations 2006, 296, 243-269.
• [6] Kukla S., Dynamiczne funkcje Greena w analizie drgań własnych ciągłych i dyskretno-ciągłych układów mechanicznych, Monografie 64,Wydawnictwo Politechniki Częstochowskiej, Częstochowa 1999.