Modeling and analysis of conical-shaped notch flexure hinges based on NURBS

摘要

An analytical compliance matrix model of a flexure hinge is established and the conical-shaped notch flexure hinge is innovatively parameterized using the non-uniform rational B-spline (NURBS) curve, which can be used to describe several different conical notch shapes, including the ellipse, parabola, and hyperbola. Parameterization is useful for performing integral operations on compliance models. Three translational directions of compliance are simulated using the finite element (FE) method and results show a maximum error of 5.39% between the theoretical value and simulation result, thus verifying the accuracy of our analytical compliance model. The influence of certain parameters on flexure hinge performance, including compliance, relative compliance, and axial shift, is analyzed. (C) 2018 Elsevier Ltd. All rights reserved.