Free vibration of the system of two Timoshenko beams coupled by a viscoelastic interlayer

• Autorzy: Cabańska-Płaczkiewicz K.
• Języki publikacji: EN

Abstrakty

EN

In this paper the uniform analytical method [3] has been used for solving a problem of free vibrations of continuous sandwich beam with damping. External layers are modelled as Timoshenko beams, while the internal layer possesses the characteristics of a viscoelastic, one-directional Winkler foundation. The phenomenon of free vibration has been descibed using a homogenous system of coupled partial differential equations. After separation of variables in the system of differential equations, the boundary problem has been solved and four complex sequences have been obtained : the sequences of frequencies, and the sequences of vibration modes. Then, the property of orthogonality of complex free vibration modes has been demonstrated. The free vibration problem has been solved for arbitrarily assumed initial conditions.

Słowa kluczowe

EN

free vibrations; viscoelastic interlayer; Timoshenko

PL

drgania swobodne; międzywarstwa lepkosprężysta

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 1999
• Tom: Vol. 47, iss. 1
• Strony: 21--37
• Opis fizyczny: Bibliogr. 33 poz., il.wykr.

Twórcy

autor

Cabańska-Płaczkiewicz K.

• Pedagogical University in Bydgoszcz, Department of Mathematics, Technology and Natural Science [Wyższa Szkoła Pedagogiczna, Wydział Matematyki, Techniki i Nauk Przyrodniczych], 85-064 Bydgoszcz, ul. Chodkiewicza 30