Abstract: The current theoretical model and numerical analysis model of particle damper are established based on the observation and constraint conditions of the vibration phenomenon of particles and controlled structure, which cannot directly and fully reveal the damping mechanism of particle dampers.The coupling relationship of parameters is complex in the time domain solution of particle dampers, and the calculation efficiency is low.Therefore, the parallel single-dimensional single particle damper (PSSPD) with fine damping effect is taken as the research object, which damping mechanism is deeply analyzed.Firstly, the impact force between particles and controlled structure is equivalent to pulse force, and the mechanical model of PSSPD is established.Then the model is analyzed and solved by combining frequency domain and time domain methods.Secondly, the optimal parameter design method of PSSPD subjected to dynamic load is put forward, as well as the performance parameters of PSSPD are analyzed and its rationality and accuracy are verified.Meanwhile, the results are compared with those of time domain analysis.Finally, the damping mechanism and performance of PSSPD and TMD are intensively analyzed.The results show that the mechanical model of PSSPD based on time-frequency domain analysis can intuitively represent its damping mechanism with high accuracy and clear solution process, and the parameter optimization analysis method is reasonable, feasible and accurate.The damping frequency band of PSSPD is wide and robust, and it has more advantages in practical engineering vibration reduction application.