Exact method of solution of torsional vibrations problem for discontinuous viscoelastic shaft with oscillators

• Autorzy: Cabański J.
• Języki publikacji: EN

Abstrakty

EN

In this paper a generalized, exact method for solving the problems of torsional vibrations of a non-continuous viscoelastic shaft with oscillators has been presented. The oscillators are attached to the shaft by means of the viscoelastic constraints. The vibrations of this compound system are described by the set of conjugated, partial and ordinary differential equations. The separation of the variables in the complex Hilbert space, the obtained results from the analysis of the boundary-value problems and the proved generalized orthogonality of complex eigenvectors have been used to obtain the solution for free vibrations of the system at the arbitrary initial conditions. Finally, by applying the harmonic moment of the forced vibrations, the problem of the shaft has been solved. In the herein presented method, the operational generalized principles [6] have been applied.

Słowa kluczowe

EN

boundary value problems; differential equations; eigenvalues and eigenfunctions; Hilbert spaces; torsion; vibrations; viscoelasticity

PL

drganie; lepkosprężystość; przestrzeń Hilberta; równanie różniczkowe; skręcanie; wartość własna i funkcja własna

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2001
• Tom: Vol. 42, no 4
• Strony: 459--474
• Opis fizyczny: Bibliogr. 14 poz.,

Twórcy

autor

Cabański J.

• Department of Applied Mechanics, Faculty of Armament and Aviation, University of Technology and Agriculture, Kaliskiego 7, 85-791 Bydgoszcz, Poland.