Migdalovici M., Onisoru J., Videa E., Albrecht A.

The contemporary researches regarding approximation of the real phenomena with mathematical models, using any parameters, in our case, are concerned about obtaining the values of the dynamic parameters of cables such that the mathematical model attached to physical model assure a good approximation of the real phenomenon. Today, the numerical simulations are common for all engineering areas but there still needs for a good analytical point of view. In the paper is presented a method for estimation of bending stiffness and viscous damping of the cables. Such cables are overhead line conductors modeled as beams that respect the author condition which detaches the conductor (cable) model of the beam model. There are studied some cases of the end conditions for the cable. The analytical expression of the free vibration modes and the resonance frequencies equation for the cable with some précised conditions on the extremities has produced. We propose the objective function specified by the analytical and experimental values of displacements and by the number of the resonance frequencies supposed in the free damped vibration model which allows determination of the optimum values of the parameters. The possibilities of using the finite element method for identification of the parameters are also described. The expressions of the kinetic energy of the cable with viscous or hysteretic damping are analyzed and energy methods are described for control of vibration of overhead line conductors. The applications are presented in this area.