This study is concerned with the dynamic behavior of an axially translating Bernoulli-Euler beam interacting with a stationary in-span harmonic oscillator. The governing equations for the transverse vibrations of the beam and oscillator are introduced. Approximate solutions are obtained using the Galerkin's method. Numerical results demonstrate the influence of translational velocity on the system's natural frequencies and mode shapes. The effect of the mass and stiffness parameters of the harmonic oscillator on the dynamics of the axially translating beam is extensively studied. Comparisons of the numerical results with those in existing literature show consistent overall trends. Since the studied model is not directly available in the literature, the numerical results are validated through simulations using the finite element method. This study provides a modest guide for real engineering applications by revealing the vibration characteristics of the combined system consisting of an axially translating Bernoulli-Euler beam and a harmonic oscillator.
Zeren et al. (Tue,) studied this question.