<p>An adjustable sheet-rod with hinge connection (ASRHC) is a critical component in tail nozzles of aero-engines. However, its vibration behavior has not yet been investigated. In this study, a dynamic model for the ASRHC is established by employing Hamilton’s principle and the Euler–Bernoulli beam theory. The artificial spring approach is used to characterize the hinge connection. Then, an experimental platform is established to test the natural frequencies and mode shapes of the ASRHC. By comparing theoretical and experimental results, the accuracy of the theoretical model is verified. The results demonstrate that the proposed theoretical model can reliably predict the vibration characteristics of the ASRHC. It is found that the position of the hinge close to the free end of the adjustable sheet can significantly increase the fundamental frequency. Additionally, increasing the included angle between the adjustable sheet and supporting rod strengthens the hinge constraint effect, thereby elevating the natural frequencies of the joined structure. The effect of the adjustable sheet angle on the natural frequencies is important when the aspect ratio is small, but this influence decreases with the increase of aspect ratio. The natural frequencies exhibit a sensitive interval with respect to the variations in hinge stiffness. These results are helpful for the design and vibration prediction of the ASRHC.</p>