Geometric nonlinear modeling and analysis of precise mechanism with flexible angle adjustment
In this article,in order to ensure synchrotron radiation of the key optical equipment,efforts are made to design and optimize a precise disc mechanism with flexible angle adjustment.The corner-filleted flexible hinge achieves high precision at the micro nano arc level and has a large angle range.The analysis is conducted on the factors that cause the mechanism's geo-metric nonlinearity at large turning angles;a model of segmented boundary constraint is set up,and then the numerical analysis is used to solve this model.At the same time,a nonlinear equilibrium equation of the incremental updating Lagrangian method is constructed,and the Newton-Raphson method is used to iteratively solve this equation.The two methods are used to analyze the nonlinear relationship between the mechanism's output angle and input load;in terms of nonlinearity,the drift at the center of the flexible hinge is taken into consideration.The finite-element analysis is carried out to compare nonlinearity and linearity;then,the influence of nonlinearity on the mechanism's output angle and maximum stress is explored.The results indicate that the two models have good agreement,and the mechanism exhibits strong nonlinearity,with the secure adjusted angle of 1.6° to the largest extent.This study has proved that the nonlinear model used for mechanism design is accuracy and effective.
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