Abstract: Flexible hinge has been considered as a good way to realize high precision displacement transmission. Introduces a classic precision displacement system model which is assembled by flexible hinge and single lever amplification mechanism，establishes the dynamic modal and verified the validity via the finite element method，analysis its stability factors and the vibration response of the system briefly through impulse motivation. The analysis shows that increasing of the damping ratio and natural frequency is an effective way to reduce the setting time. It provides a theoretical method for the final engineering application.

Key words: flexible hinge, impulse motivation, vibration analysis