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

Kukla S., Zamojska I.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2003

Vol. 2, nr 1

69--76

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.