Abstract:
The micro-displacement amplification mechanisms with flexure hinges are increasingly used in precise mechanism. The input displacement, output displacement and amplification ratio are key performance parameters, which are very important for analyzing and designing the mechanism. Based on The Castigliano’s second theorem, the static analytical method based on the compliance is used for analyzing the compliant mechanism, and then the displacement equations of a certain node in the compliant mechanism are formulated. Using the derived equations, the paper analyzes the compliant symmetrical micro-displacement amplification mechanism, thus the mathematical models of the input displacement, output displacement and amplification ratio are established. Based on the established mathematical model, theoretical calculations by means of MATLAB programming are implemented for the compliant symmetrical micro-displacement amplification mechanism, and the finite element simulation are performed simultaneously. Good agreements between theoretical calculations and simulation results are observed with errors of about 3% in input displacement and output displacement. Finally, the reasons causing the error are analyzed.