What question did this study set out to answer?

This research examines how the mass of shafts affects the natural pulsations in both free and forced transverse vibrations of an elastic system.

May 15, 2026Open Access

The Influence of the Shaft Mass on the Natural Pulsation of the Free and Forced Transverse Vibrations and Having a Homogeneous Wheel Mounted at the End

CMCornel MarinValahia University of Targoviste

Key Points

This research examines how the mass of shafts affects the natural pulsations in both free and forced transverse vibrations of an elastic system.
Simulated six cases with shaft masses at 5, 10, 25, 50, 75, and 100% of the real mass using MATHCAD.
Explored natural pulsations for both free and forced vibrations due to harmonic disturbing forces.
Natural pulsations vary significantly with changes in shaft mass, particularly for frequencies near the first two natural pulsations.
Forced vibrations were notably influenced by the mass at specific frequencies, validating the simulation outcomes.

Abstract

Abstract The paper aims to study the influence of the mass of the shafts on the natural pulsations of the free and forced transverse vibrations of an elastic system formed by a fixed shaft and a homogeneous wheel for two cases: free vibrations and forced vibrations due to harmonic disturbing forces. With the help of the professional program MATHCAD, the influence of the mass of the shafts on the natural pulsations was simulated for six cases in which the mass of the shaft is taken into account as: 5, 10, 25, 50, 75 and 100% of its real mass, for forced vibrations with frequencies very close to the first two natural pulsations p1 and p2.

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