The study examines how the amplitude and shape of forced vibrations in a rod are influenced by the closeness of the disturbance frequency to the system’s eigenvalues and by the phase shift in the components of the vector disturbance process. The focus is on the bending vibrations of a vertical rod with a variable cross-section and a concentrated mass. Vibrations induced by harmonic and random vector processes featuring kinematic and dynamic disturbances are analyzed. The research determines the amplitudes and standard deviations of these vibrations. It is demonstrated that the correlation between components of random disturbances affects vibrations similarly to how phase shifts influence harmonic vibrations. The dominance of standard deviations over amplitudes is attributed to the presence of the first resonant frequency in the spectral density of directional disturbances. The investigation covers free and forced bending vibrations of vertical rods with variable cross-sects. A mathematical model is introduced, incorporating the fundamental differential equation for transverse vibrations and the relevant boundary conditions. An example illustrating the impact of dynamic and kinematic disturbances on forced vibrations is provided. The findings highlight the relationship between the amplitude and form of the rod’s forced vibrations and the factors of disturbance frequency proximity to eigenvalues and the phase shift in the disturbance vector process.