Vibration control analysis of stiffened cantilever plates

Purpose In this paper, a theoretical analysis model for vibration control of stiffened cantilever plates is established based on Kirchhoff plate theory and Euler–Bernoulli beam theory to reveal the physical mechanism of vibration control from the perspective of resonance modes. Design/methodology/approach The vibration response of a stiffened cantilever plate under the action of external concentrated forces and multi-stage control forces is solved based on the finite integral transform method. A detailed derivation is then conducted to elucidate the fundamental process of controlling the plate vibration using the cancellation volume velocity method. The vibration control performance of the cantilever plates is investigated, and the influence of the stiffener, the number of control sources and the applied position on the vibration control are analyzed. Findings Satisfactory damping effect can be obtained after vibration control of cantilever plate structures. For the control system of a single force source, the influence of stiffener on vibration control of cantilever plates depends on the role played by the stiffener in the modal vibration. For the control system of multi-stage force source, the failure of a single control force can be avoided effectively because the force sources are distributed on the plate surface. Originality/value The theoretical model for vibration control of stiffened cantilever plates is solved using the finite integral transform and cancellation volume velocity method and exploring the influence of the stiffener and various control parameters on the damping effect. It provides new insights into the physical mechanisms of vibration control and offers practical strategies to enhance the performance of cantilever plate structures.