Optimal design of a novel nested metamaterial with hybrid auxetic-locally resonant band gap for suppressing robotic grinding vibration

To suppress vibration during robotic grinding of aero-engine blades caused by low stiffness and robotic point-to-point movement, a novel metamaterial comprising a double-nested auxetic structure and a local resonator is proposed. It simultaneously achieves enhanced-stiffness and an ultra-low frequency wide-range band gap generated by the hybrid auxetic-locally resonant characteristic. Young's modulus is studied analytically and numerically. A co-simulation procedure is applied to obtain the optimized band gap (the bottom boundary is 18.03 Hz) based on the modal analysis results, verified through the experimental study. The novel design of the nested metamaterial provides an effective strategy for suppressing robotic grinding vibration.