Improving Sound Absorption Through Nonlinear Active Electroacoustic Resonators

The absorption of airborne noise at frequencies below 300 Hz is a particularly vexing problem due to the absence of natural sound-absorbing materials at these frequencies. The prevailing solution for low-frequency sound absorption is the use of passive narrow-band resonators, the absorption level and bandwidth of which can be further enhanced using nonlinear effects. However, these effects are typically triggered at high intensity levels, without much control over the form of the nonlinear absorption mechanism. In this study, we propose, implement, and experimentally demonstrate a nonlinear active control framework on an electroacoustic resonator prototype, allowing for unprecedented control over the form of nonlinearity and arbitrarily low intensity thresholds. More specifically, the proposed architecture combines linear feedforward control on the front pressure through a first microphone located at the front face of the loudspeaker and nonlinear feedback control on the membrane displacement estimated through the measurement of the pressure inside the back cavity with a second microphone located in the enclosure. It is experimentally shown that even at a weak excitation level, it is possible to observe and control the nonlinear behavior of the system. Taking the cubic nonlinearity as an example, we demonstrate numerically and experimentally that in the low-frequency range (50-500 Hz), the nonlinear control law allows improvement of the absorption performance, i.e., enlarging the bandwidth of optimal sound absorption while increasing the maximal absorption coefficient value and producing only a negligible amount of nonlinear distortion. The reported experimental methodology can be extended to implement various types of hybrid linear and/or nonlinear controls, thus opening new avenues for managing wave nonlinearity and achieving nontrivial wave phenomena.