The primary concern of the work is to cause forced oscillations for wave propagation by acting on its boundary. In practice, oscillations become useful, for example, in realizing a flexible cable when it gets stuck inside a surface or in rubbish. An appropriate dynamic model is first deduced from Hamilton’s principle for the oscillating plant in question. Then, boundary output feedback is developed to generate a periodic motion at the boundary in finite time. The resulting closed-loop system is finally shown to possess a periodic in-domain solution, globally attracting all other solutions. The proposed design methodology is additionally supported by simulation results.