The vibroacoustic study of a plate-cavity system with connecting nonlinear oscillators

Nonlinear oscillators have been found to control the vibration of engineering structures. Unfortunately, the studies related to nonlinear vibroacoustic control of the plate-cavity systems by employing nonlinear oscillators are limited, harming the engineering application of nonlinear oscillators in controlling the vibrion and noise of plate-cavity systems. To study the potential application of connecting nonlinear oscillators (CNOs) in the vibroacoustic control of the plate-cavity system, a vibroacoustic analysis model of the plate-cavity system with CNOs is established. According to this work, the vibroacoustic responses of the plate-cavity system with CNOs can be accurately gained by the Lagrange method. The working states of CNOs can be divided into the multi-line spectrum linear and non-linear broadband control modes. Under the above two control modes, the vibration and noise of the plate-cavity system can be both effectively controlled. Especially, the multi-line spectrum non-linear broadband control mode of CNOs can motivate multiple frequency components and the targeted energy transfer phenomenon of the plate-cavity system. There is no doubt that the variation of key parameters of CNOs in a sensitive region can effectively change their working states. Importantly, the introduction of CNOs establishes an additional energy transfer pathway of the plate-cavity system, where an unsuitable parameter combination of CNOs will worsen the vibration control effectiveness of the passive plate. Overall, the application of CNOs can simultaneously suppress the vibration and noise of the plate-cavity system, where a suitable working state of CNOs will strengthen the control effectiveness.