Published October 28, 2026 | Version v1

MATHEMATICAL MODELING OF BENDING OSCILLATIONS OF A VERTICAL ROD OF VARIABLE CROSS-SECTION

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We consider free and forced flexural vibrations of vertical bars of variable section. A mathematical model, which includes basic differential equation of transverse vibrations and the boundary conditions. For the forced vibrations considered an example showing the effect of dynamic and kinematic disturbances. The dependence of the amplitude and shape of the forced vibrations of a rod from the vicinity of the frequency of disturbances to their own values and the phase shift of the vector components of the disturbances.

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References

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