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Instead of analog electronic circuits and components, digital controllersthat are capable of active multi-resonant piezoelectric shunting are applied toelastic metamaterials integrated with piezoelectric patches. Giving thanks tothe introduced digital control technique, shunting strategies with transferfunctions that can hardly be realized with analog circuits is possible now. Asan example, the "pole-zero" method is developed to design single- ormulti-resonant bandgaps by adjusting poles and zeros in the transfer functionof piezoelectric shunting directly. Large simultaneous attenuations in up tothree frequency bands at deep subwavelength scale (with the normalizedfrequency as low as 0.077) are achieved. The underlying physical mechanism isattributed to the negative group velocity of flexural wave within bandgaps. Asdigital controllers can be readily adapted via wireless broadcasting, thebandgaps can be tuned easily instead of tuning the electric components inanalog shunting circuits one by one manually. The theoretical results are wellverified experimentally with the measured vibration transmission propertieswhere large insulations of up to 20dB in low-frequency ranges are observed.

Multi-resonant piezoelectric shunting induced by digital controllers for subwavelength elastic wave attenuation in smart metamaterial