Optimal design of a novel high-performance passive non-traditional inerter-based dynamic vibration absorber for enhancement vibration absorption

This paper proposes a novel high-performance passive non-traditional inerter-based dynamic vibration absorber (NIDVA), tuned by the H-infinity optimization using the patternsearch solver in MATLAB with the starting points, the optimum parameters based on the extended fixed points theory (EFPT). Then, the control performance of the proposed NIDVA is compared with the classic DVA and the high-performance passive non-traditional inerter-based dynamic vibration absorber (NIDVA-C4). Based on the optimum parameters under harmonic force excitation, the relative dynamic performance index (%RDP) of the proposed NIDVA registered improvements of 31%-63% and 54%-72% with respect to the NIDVA-C4 and classic DVA, respectively, considering the mass ratio range from 1% to 10%. Regarding the suppression bandwidth index (%SB) for the mass ratio of 5%, the NIDVA can enlarge the SB by 50% and 62% with respect to NIDVA-C4 and classic DVA, respectively. For the white noise excitation, more than 38%-64% and 53%-69% improvement of random vibration reduction can be obtained from NIDVA with respect to NIDVA-C4 and classic DVA, respectively. Accordingly, results of this study provide some technical information to design more effective vibration control device in engineering practices.