Abstract:

A continuous rod-shaped member (a body with distributed inertia and rigidity parameters), which is the object of the investigations, is considered. To ensure the optimal natural frequency concerning the oscillations of the reactive (exciting) mass of the three-mass discrete vibratory system, with the use of the Krylov-Duncan functions, the mathematical model describing forced oscillations of the continuous member considered as a disturbing body of the three-mass discrete-continuous vibratory system is established, and the corresponding frequency equation is analytically derived. The obtained theoretical results are verified using the Finite Element Method in SolidWorks software. The novelty of the present paper consists in substantiation of the possibilities of implementing the continuous rod-shaped members with distributed inertia and rigidity parameters for exciting the oscillations of the three-mass discrete-continuous inter-resonance vibratory systems.

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