Vibration analysis of simply supported beams with enhanced self-sensing active constrained layer damping treatments

The modal frequencies and loss factors of a simply supported beam with an enhanced active constrained layer (EACL) damping treatment are derived by the extended Hamilton principle and Rayleigh–Ritz method while open- and closed-loop control (displacement and velocity feedback) systems are considered. The effects of the edge element stiffness in EACL on the sensing ability, modal frequencies and loss factors of the system are investigated. The vibration characteristics for the systems with fully and partially covered passive constrained layer damping, active constrained layer damping, and EACL treatments, are discussed and compared. The effects of several key parameters such as control gain, location and coverage of the self-sensing actuators on the system performance are also studied. The results show that the enhanced self-sensing active constrained layer damping treatment is an effective way for vibration control while some important physical insights are discussed.