The invention discloses a nonlinear acoustic
transducer control method and
system based on an Aubry-Mather set, and belongs to the technical field of acoustic transducers. The method comprises the following steps: firstly, based on an Aubry-Mather set theory, constructing a
nonlinear vibration model used for describing
nonlinear vibration of a
transducer diaphragm; secondly, based on a
nonlinear vibration model, regional piezoelectric driving and dynamic phase regulation are carried out to simulate a quasi-periodic fluctuation mode; then, on the basis of fluctuation characteristics disclosed by the nonlinear vibration model, a multi-diaphragm collaborative vibration
system is constructed, and quasi-periodic superposition of sound
waves is realized by optimizing diaphragm space
layout; and finally, based on stiffness parameters in the nonlinear vibration model, integrating a micro electro
mechanical system (MEMS) process and a nonlinear material, and realizing equivalent
nonlinear stiffness on a physical device through gradient polarization design. The dynamic adaptability, the
energy transfer efficiency and the high-frequency output performance of the
transducer in a
broadband range are effectively improved, and the transducer is particularly suitable for
ultrasonic imaging and other high-frequency acoustic application scenes.