The invention relates to a variable rigidity-
inertia synergistic low-frequency tuned
mass system and a
vibration absorption method. An arc-shaped groove is formed in the upper portion of a
recovery unit, a rack is arranged on the arc-shaped groove, a rotating body of an
inerter unit is meshed with the rack through a gear set, and a rotating shaft of the rotating body is connected with a rotating shaft of the gear set through a connecting frame; the connecting frame is connected with an upper structure, the
recovery unit is connected with the tuning
vibration absorption unit, the fixed rack rail is connected with a lower structure, a sliding rail is arranged beside the fixed rack rail, the tuning
vibration absorption unit is erected on the sliding rail, a fixing shaft is arranged on the tuning vibration absorption unit, and a rotating body of an
inerter flywheel is fixedly connected with a gear. The rotating body and the gear are sleeved on the fixed shaft, the gear is meshed with the fixed rack track, the first permanent
magnet is embedded in the rotating body, and the second permanent
magnet is arranged in a cavity of the rotating body. Compared with the prior art, multi-section broadening of the tuning
frequency band,
energy absorption, vibration reduction and low-
frequency offset and self-adaptive
recovery of the tuning
mass system are achieved.