TRANSVERSE VIBRATIONS OF ELASTICALLY CONNECTED DOUBLE-STRING COMPLEX SYSTEM, PART II: FORCED VIBRATIONS

This paper analyzes the forced transverse vibrations of an elastically connected double-string complex continuous system. The general solutions of forced vibrations of strings subjected to arbitrarily distributed continuous loads are found by using the method of expansion in a series of the mode shape functions. Different cases of exciting loadings are analyzed. The action of stationary harmonic loads and moving concentrated forces is considered. Vibrations caused by the harmonic exciting forces are discussed, and conditions of resonance and dynamic vibration absorption are formulated. Thus the string-type dynamic absorber can be used to suppress the excessive vibrations of corresponding string systems. The dynamic string-type damper is a new concept of a continuous dynamic vibration absorber (CDVA). It is shown that a corresponding two-degree-of-freedom discrete system is an analogue of an elastically connected double-string complex system. Theoretical analysis is illustrated by a numerical example.