Abstract:In this paper,the amplification ratio, the stiffness and the natural frequency of the distributed-compliance bridgetype displacement amplification mechanism are studied. First, the analytical model of the displacement amplification ratio and stiffness properties is established based on the stiffness matrix of flexible beam element. Then, by solving the derivatives of deformation curves of beams versus time, the velocity of any point on the beam can be calculated to obtain the expression of kinetic energy in the vibrating beams. On this basis, the vibration equation of the bridgetype amplification mechanism with 3 generalized coordinates is established by using the Lagrange method, and the natural frequency in the working direction is obtained. Finally, the finite element analysis and the experimental verification are conducted to test the static and dynamic performances of the bridgetype mechanism. The experimental results indicate that the analytical results with respect to the finite element analysis and experimental results are in good agreement, which demonstrate the high accuracy of the analytical model.