Free longitudinal vibrations of multi-step non-uniform rods

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

Abstrakty

EN

The paper presents the solution of the free longitudinal vibration problem for a multi-step rod with varying cross-section areas. The problem considered takes into account vibrations of rods with additional discrete spring-mass elements attached at their ends. The problem solution is obtained with the application of the Green's function properties and the power series method. The presented numerical example shows the influence of the selected parameter characterizing the discrete element on free vibration frequencies of the system.

Słowa kluczowe

EN

longitudional vibration; non-uniform rod; Green's functions

PL

funkcja Greena

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2004
• Tom: Vol. 3, nr 1
• Strony: 73--80
• Opis fizyczny: Bibliogr. 7 poz., rys.

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] Bapat C.N., Vibration of rods with uniformly tapered sections, Journal of Sound and Vibration 1995, 185(1), 185-189.
• [2] Kumar B.M., Sujith R.I., Exact solutions for the longitudinal vibration of non-uniform rods, Journal of Sound and Vibration 1997, 207(5), 721-729.
• [3] Li Q.S., Exact solutions for free longitudinal vibrations of non-uniform rods, Journal of Sound and Vibration 2000, 234(1), 1-19.
• [4] Li Q.S., Free longitudinal vibration analysis of multi-step non-uniform bars based on piecewise analytical solutions, Engineering Structures 2000, 22, 1205-1215.
• [5] Li Q.S., Li G.Q., Liu D.K., Exact solutions for longitudinal vibration of rods coupled by translational springs, International Journal of Mechanical Sciences 2000, 42, 1135-1152.
• [6] Li Q.S., Wu J.R., Xu J., Longitudinal vibration of multi-step non-uniform structures with lumped masses and spring supports, Applied Acoustics 2002, 63, 333-350.
• [7] Kukla S., Przybylski J., Tomski L., Longitudinal vibration of rods coupled by translational springs, Journal of Sound and Vibration 1994, 185, 717-722.