THE PROBLEM OF OPTIMIZING THE PARAMETERS OF A BEAM AND A MOBILE DYNAMIC ABSORBER IN THE COMBINED VIBRATIONS

In this work, the determination of analytical expression of the transfer function in the vibrations of a beam with elastic dissipative characteristic of hysteresis type combined with a moving linear elastic dynamic damper is studied. In this case, properties of the material of the beam are the elastic dissipative characteristics of hysteresis type. Expressions of linearization coefficients determined by the method of harmonic linearization for kinematic excitations, and method of statistical linearization for random excitations were applied. Initially, the system of differential equations of transversal vibration of the beam which is protected from vibrations was determined. Based on the condition of orthogonality, the system of differential equations of transversal vibration is written in a simpler forms and by using the differential operator it is reduced to a system of algebraic equations.