According to the investigations on vibration milling in recent years, the bidirectional development of vibration and nanomaterials is discussed from the viewpoint of discipline cross, including vibro-impacting and chaos of multiphase bulk solids, ultra fine particles impact damping and applications, roller vibration milling and applications in nanoparticles engineering, for which the mathematical model with time varying mass is proposed and the problems with multi-scale methods and Runge Kutta methods are solved respectively. The solutions are verified by the practice of the vibration milling. By using the irreversible energy loss in the process of particle size reduction, the particle impact dampin g mechanism is established. The results show that the attenuation is the best when the natural frequency ratio equals 1. Dry Zn nanoparticles of 3~5 nm in large scale are produced at room temperature by using vibration milling with energy cost of 7~8 kw·h/kg, and Ti-Zr binary nano-composite with grain size of about 7.6nm is also produced.