Application of the Green's function method in free vibration analysis of non-uniform beams

• Autorzy: Kukla S. , Zamojska I.
• Języki publikacji: EN

Abstrakty

EN

In this paper an application of the Green's function method in frequency analysis of a beam with varying cross section is presented. The beam carries an arbitrary number of attached discrete systems. The exact solution of the problem concerns a beam with quadratically varrying cross-section area. Numerical examples show the influence of the selected parameters on free vibration frequencies of the considered system are presented.

Słowa kluczowe

EN

Green's functions; free vibration; non-uniform beams

PL

funkcja Greena; drgania swobodne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2005
• Tom: Vol. 4, nr 1
• Strony: 87--94
• Opis fizyczny: Bibliogr. 5 poz., rys., tab.

Twórcy

autor

Kukla S.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

autor

Zamojska I.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

Bibliografia

• [1] Wu J.-S., Chou H.-M., Free vibration analysis of a cantilever beam carrying any number of elastically mounted point masses with the analytical-and-numerical-combined method, Journal of Sound and Vibration 1998, 213(2), 317-332.
• [2] Abrate S., Vibration of non-uniform rods and beams, Journal of Sound and Vibration 1995, 185(4), 703-716.
• [3] Chen D.-W., Wu J.-S, The exact solutions for the natural frequencies and mode shapes of nonuniform beams with multiple spring-mass systems, Journal of Sound and Vibration 2002, 255(2), 299-322.
• [4] Kukla S., Zamojska I., Free vibration analysis of axially loaded stepped beams by using a Green’s function method, send to the Journal of Sound and Vibration 2005.
• [5] Auciello N.M, Ercolano A., Exact solution for the transverse vibration of a beam a part of which is a taper beam and other part is a uniform beam, International Journal of Solids Structures 1997, 34, 17, 2115-2129.