Free vibrations of non-uniform rods with additionally attached spring-mass discrete elements

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

Abstrakty

EN

The paper deals with free vibration of a rod with a polynomial varying crosssection. The formulation and solution of the problem take into account an arbitrary number of spring-mass discrete elements additionally attached to the rod. The Green’s function method was applied while solving the free vibration problem. The Green’s functions corresponding to various cases of variable cross-sections of the rods were determined. The obtained exact solution was used in a numerical analysis of an influence of the parameter characterizing the system on its free vibration frequencies.

Słowa kluczowe

EN

free vibrations; non-uniform rods

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2003
• Tom: Vol. 2, nr 1
• Strony: 69--76
• Opis fizyczny: Bibliogr. 5 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] Abrate S., Vibration of non-uniform rods and beams, Journal of Sound and Vibration 1995, 185(4), 703-716.
• [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 vibration of non-uniform rods, Journal of Sound and Vibration 2000, 234(1), 1-19.
• [4] 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.
• [5] Li Q.S., Free longitudinal vibration analysis of multi-step non-uniform bars based on piecewise analytical solutions, Engineering Structures 2000, 22, 1205-1215.

Uwagi

EN

The papers have been presented during the session devoted to application of mathematics (as part of International Conference on Parallel Processing and Applied Mathematics).